ORIGINAL_ARTICLE
Curvature Effects on Thermal Buckling Load of DWCNT Under Axial Compression Force
In this article, curvature effects on elastic thermal buckling of double-walled carbon nanotubes under axially compressed force are investigated using cylindrical shell model. Also, the small scale effect is taken into account in the formulation. The dependence of the interlayer van der Waals (vdW) pressure on the change of the curvatures of the inner and outer tubes at that point is considered. The effects of the surrounding elastic medium, curvature and the vdW forces between the inner and outer tubes increase the critical buckling load under thermal and axial compression loads, while small scale effect decreases it.
http://jsm.iau-arak.ac.ir/article_514395_66be5be85feaacf96e9e35805f9212b6.pdf
2011-03-30T11:23:20
2020-06-03T11:23:20
1
8
Curvature effect
Thermal buckling load
Small scale effect
Axial compression force
DWCNT
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
true
1
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan----
Institute of Nanoscience & Nanotechnology, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan----
Institute of Nanoscience & Nanotechnology, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan----
Institute of Nanoscience & Nanotechnology, University of Kashan
LEAD_AUTHOR
M
Mohammadimehr
true
2
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
AUTHOR
M
Ghazi
true
3
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
AUTHOR
[1] Iijima S., 1991, Helical micro tubes of graphitic carbon, Nature 354: 56-58.
1
[2] Ru C.Q., 2001, Axially compressed buckling of a DWCNT embedded in an elastic medium, Journal of the Mechanics and Physics of Solids 49: 1265-1279.
2
[3] Ranjbartoreh A.R., Ghorbanpour A., Soltani B., 2007, DWCNT with surrounding elastic medium under axial pressure, Physica E 39: 230-239.
3
[4] Han Q., Lu G., 2003, Torsional buckling of a DWCNT embedded in an elastic medium, European Journal of Mechanics A/Solids 22: 875-883.
4
[5] Wang X., Yang H.K., Dong K., 2005, Torsional buckling of multi-walled carbon nanotubes, Materials Science and Engineering A 404: 314-322.
5
[6] Yang H.K., Wang X., 2007, Torsional buckling of multiwalled carbon nanotubes embedded in an elastic medium, Composite Structures 77: 182-192.
6
[7] Mohammadimehr M., Saidi A.R., Ghorbanpour Arani A., Arefmanesh A., Han Q., 2010, Torsional buckling of a DWCNT embedded on Winkler and Pasternak foundations using nonlocal theory, Journal of Mechanical Science and Technology 24(6): 1289-1299.
7
[8] Mohammadimehr M., Saidi A.R., Ghorbanpour Arani A., Arefmanesh A., Han Q., 2011, Buckling analysis of double-walled carbon nanotubes embedded in an elastic medium under axial compression using non-local Timoshenko beam theory, Proceedings of IMechE, Part C: Journal of Mechanical Engineering Science, accepted.
8
[9] Yao X., Han Q., 2007, Investigation of axially compressed buckling of a multi-walled carbon nanotube under temperature field, Composite Science and Technology 67: 125-134.
9
[10] Ghorbanpour Arani A., Rahmani R., Arefmanesh A., Golabi S., 2008, Buckling analysis of multi-walled carbon nanotubes under combined loading considering the effect of small length scale, Journal of Mechanical Science and Technology 22: 429-439.
10
[11] Ghorbanpour Arani A., Mohammadimehr M., Saidi A.R., Shogaei S., Arefmanesh A., 2010, Thermal buckling analysis of double-walled carbon nanotube considering small scale effect, Proceedings of IMechE, Part C: Journal of Mechanical Engineering Science 225: 248-256.
11
[12] Qian H., Xu K.Y., Ru C.Q., 2005, Curvature effects on axially compressed buckling of a small-diameter double-walled carbon nanotube, International Journal of Solids and Structures 42: 5426-5440.
12
[13] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics 54: 4703-4710.
13
[14] Brush D.O., Almroth B.O., 1975, Buckling of Bars, Plates and Shells, McGraw-Hill, New York, USA.
14
[15] Yao X., Han Q., 2007, The thermal effect on axially compressed buckling of a double-walled carbon nanotube, European Journal of Mechanics A/Solids 26: 298-312.
15
16
ORIGINAL_ARTICLE
Magneto-Thermo-Elastic Behavior of Cylinder Reinforced with FG SWCNTs Under Transient Thermal Field
In this article, magneto-thermo-elastic stresses and perturbation of magnetic field vector are analyzed for a thick-walled cylinder made from polystyrene, reinforced with functionally graded (FG) single-walled carbon nanotubes (SWCNTs) in radial direction, while subjected to an axial and uniform magnetic field as well as a transient thermal field. Generalized plane strain state is considered in this study. The SWCNTs are assumed aligned, straight with infinite length. Two types of variations in the volume fraction of SWCNTs were considered in the structure of the FG cylinder along the radius from inner to outer surface, namely: functionally graded increasing (FG Inc) and functionally graded decreasing (FG Dec) which are then compared with uniformly distributed (UD) layouts. The constitutive equations of this type of reinforced polymeric cylinder are derived by Mori-Tanaka method. Following the introduction of a second order partial differential equation derived from the equations of motion and stress-strain relationships and solving by a semi-analytical method, distribution of stresses and perturbation of magnetic field vector are obtained. Results indicate that maximum radial and circumferential stresses occur in FG Inc and FG Dec layouts, respectively. Maximum perturbation of magnetic field vector is not affected by UD layout.
http://jsm.iau-arak.ac.ir/article_514396_fbea9973bac37207639511db86bbdcca.pdf
2011-03-30T11:23:20
2020-06-03T11:23:20
9
18
Magneto-thermo-elastic stresses
Perturbation of Magnetic Field Vector
FG SWCNTs
Cylinder
Transient thermal field
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
true
1
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan----
Institute of Nano science & Nanotechnology, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan----
Institute of Nano science & Nanotechnology, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan----
Institute of Nano science & Nanotechnology, University of Kashan
LEAD_AUTHOR
M.R
Mozdianfard
true
2
Department of Chemical Engineering, Faculty of Engineering, University of Kashan
Department of Chemical Engineering, Faculty of Engineering, University of Kashan
Department of Chemical Engineering, Faculty of Engineering, University of Kashan
AUTHOR
V
Sadooghi
true
3
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
AUTHOR
M
Mohammadimehr
true
4
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
AUTHOR
R
Kolahchi
true
5
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
AUTHOR
[1] Lau K.T., Hui D., 2002, The revolutionary creation of new advanced materials–carbon nanotube composites, Composite Part B: Engineering 33: 263-277.
1
[2] Lau K.T., Gu C., Gao G.H., Ling H.Y., Reid S.R., 2004, Stretching process of single-and multi walled carbon nanotubes for nano composite applications, Carbon 42:426-428.
2
[3] Esawi A.M.K., Farag M.M., 2007, Carbon nanotube reinforced composites: potential and current challenges, Materials and Design 28:2394-2401.
3
[4] Qian D., Dickey E.C., Andrews R.., Rantell T., 2000, Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites, Applied Physics Letters 76: 2868-2870 .
4
[5] Fidelus J.D., Wiesel E., Gojny F.H., Schulte K., Wagner H.D., 2005,Thermo-mechanical properties of randomly oriented Carbon/epoxy nano composites, Composite Part A: Applied Science and Manufacturing 36:1555-1561 .
5
[6] Ghorbanpour Arani A., Maghamikia S.H., Mohammadimehr M., Arefmanesh A., 2011, Buckling analysis of laminated composite rectangular plates reinforced by SWCNTs using analytical and finite element methods, Journal of Mechanical Science and Technology 25: 809-820.
6
[7] Shen H.S., 2009, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Composite Structures 91: 9-19.
7
[8] Ke L.L., Yang J., Kitipornchai S., 2010, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams, Composite Structures 92:676-683.
8
[9] Shen H.S., Zhang C.H., 2010, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates, Materials and Design 31: 3403-3411.
9
[10] Ding H.J., Wang H.M., Chen W.Q., 2001, A theoretical solution of cylindrically isotropic cylindrical tube for axisym metric plane strain dynamic thermoelastic problem, Acta. Mechanica Solida Sinica. 14: 357-363.
10
[11] Shi D.L., Feng X.Q., Huang Y.Y., Hwang K.C., Gao H., 2004,The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites, ASME Journal of Engineering Materials and Technology 126:250-257.
11
[12] Polymer Data Hand Book, 1999, Oxford University Press, Oxford, 828-837.
12
[13] Hetnarski R.B., Eslami M.R., 2009, Thermal Stresses-Advanced Theory and Applications, Springer.
13
[14] Nan C.W., Shi Z., Lin Y., 2003, A simple model for thermal conductivity of carbon nanotube-based composites, Chemical Physics Letters 375:666-669.
14
[15] Peters J.E., Papavassiliou D.E., Grady B.P., 2008, Unique thermal conductivity behavior of single-walled carbon nanotube-polystyrene composites, Macromolecule 41: 7274-7277.
15
[16] Bi K., Chen Y., Yang J., Wang Y., Chen M., 2006, Molecular dynamics simulation of thermal conductivity of single-walled carbon nanotubes, Physics Letters A 350: 150-153.
16
[17] Dai H.L., Wang X., 2006, The dynamic response and perturbation of magnetic field vector of orthotropic cylinders under various shock loads, International Journal of Pressure Vessels and Piping 83: 55-62.
17
[18] Lehtinen P.O., Foster A.S., Ayuela A., Vehvilainen T.T., Nieminen R.M., 2004, Structure and magnetic properties of adatoms on carbon nanotubes, Physical Review B 69: 155422.
18
[19] Kordkheili S.A.H., Naghdabadi R., 2007, Thermoelastic analysis of a functionally graded rotating disk, Composite Structures 79: 508-516.
19
20
ORIGINAL_ARTICLE
Mechanical and Thermal Stresses in a FGPM Hollow Cylinder Due to Non-Axisymmetric Loads
In this paper, the general solution of steady-state two-dimensional non-axisymmetric mechanical and thermal stresses and mechanical displacements of a hollow thick cylinder made of fluid-saturated functionally graded porous material (FGPM) is presented. The general form of thermal and mechanical boundary conditions is considered on the inside and outside surfaces. A direct method is used to solve the heat conduction equation and the non-homogenous system of partial differential Navier equations, using the Complex Fourier Series and the power law functions method. The material properties, except of Poisson's ratio, are assumed to depend on the radial variable r and they are expressed as power law functions.
http://jsm.iau-arak.ac.ir/article_514397_52feeab5860c6a70b6fd76063036740c.pdf
2011-03-30T11:23:20
2020-06-03T11:23:20
19
41
Hollow cylinder
Non-Homogenous
Non-axisymmetric
FGPM
Navier equations
M
Jabbari
m_ jabbari@azad.ac.ir
true
1
South Tehran Branch, Islamic Azad University
South Tehran Branch, Islamic Azad University
South Tehran Branch, Islamic Azad University
LEAD_AUTHOR
M
Meshkini
true
2
South Tehran Branch, Islamic Azad University
South Tehran Branch, Islamic Azad University
South Tehran Branch, Islamic Azad University
AUTHOR
M.R
Eslami
true
3
Department of Mechanical Engineering, Amirkabir University of Technology
Department of Mechanical Engineering, Amirkabir University of Technology
Department of Mechanical Engineering, Amirkabir University of Technology
AUTHOR
[1] Lutz M.P., Zimmerman R.W., 1996, Thermal stresses and effective thermal expansion coefficient of functionally graded sphere, Journal of Thermal Stresses 19:39-54.
1
[2] Zimmerman R.W., Lutz M.P., 1999, Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder, Journal of Thermal Stresses 22: 177-188.
2
[3] Jabbari M., Sohrabpour S., Eslami MR., 2003, General solution for mechanical and thermal stresses in functionally graded hollow cylinder due to radially symmetric loads, ASME Journal of Applied Mechanics 70: 111-118.
3
[4] Poultangari R., Jabbari M., Eslami M.R., 2008, Functionally graded hollow spheres under non-axisymmetric thermo-mechanical loads, International Journal of Pressure Vessels and Piping 85: 295-305.
4
[5] Shariyat M., Lavasani S.M.H., Khaghani M., 2009, Transient thermal stress and elastic wave propagation analyses of thick temperature-dependent FGM cylinders, using a second-order point-collocation method, Applied Mathematical Modelling, doi:10.1016/j.apm.2009.07.007.
5
[6] Lü C.F., Chen W.Q., Lim C.W., 2009, Elastic mechanical behavior of nano-scaled FGM films incorporating surface energies, Composites Science and Technology 69: 1124-1130.
6
[7] Afsar A.M., Sekine H., 2002, Inverse problems of material distributions for prescribed apparent fracture toughness in FGM coatings around acircular hole in infinite elastic media, Composites Science and Technology 62: 1063-1077.
7
[8] Zhang D.-G., Zhou Y.-H., 2008, A theoretical analysis of FGM thin plates based on physical neutral surface, Computational Materials Science 44: 716-720.
8
[9] Fazelzadeh S.A.., Hosseini M., 2007, Aerothermoelastic behavior of supersonic rotating thin-walled beams made of functionally graded materials, Journal of Fluids and Structures 23: 1251-1264.
9
[10] Ootao Y., Tanigawa Y., 2004, Transient thermoelastic problem of functionally graded thick strip due to non-uniform heat supply, Composite Structures 63(2): 139-146.
10
[11] Jabbari M., Sohrabpour S., Eslami M.R., 2002, Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, International Journal of Pressure Vessels and Piping 79: 493-497.
11
[12] Farid M., Zahedinejad P., Malekzadeh P., 2010, Three-dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two-parameter elastic foundation using a hybrid semi-analytic, differential quadrature method, Materials and Design 31: 2-13.
12
[13] Bagri A., Eslami M.R., 2008, Generalized coupled thermoelasticity of functionally graded annular disk considering the Lord–Shulman theory, Composite Structures 83: 168-179.
13
[14] Samsam Shariat B.A., Eslami M.R., 2007, Buckling of thick functionally graded plates under mechanical and thermal loads, Composite Structures 78: 433–439.
14
[15] Jabbari M., Bahtui A., Eslami MR., 2009, Axisymmetric mechanical and thermal stresses in thick short length functionally graded material cylinder, International Journal of Pressure Vessels and Piping 86: 296-306.
15
[16] Thieme M., Wieters K.-P., Bergner F., Scharnweber D., Worch H., Ndop J., Kim T.J., Grill., 1999, Titanium powder sintering for preparation of a porous FGM Destined as a skeletal replacement implant, Materials Science Forum 308-311: 374-382.
16
[17] Biot M.A., 1935, Le proble'me de la consolidation des matie'res argileuses sous une charge, Annales de la Societe Scientifique de Bruxelles B 55: 110-113.
17
[18] Biot M.A.., 1941, General theory of three-dimensional consolidation, Journal of Applied Physics 12: 155-164.
18
[19] De Boer R., 1996, Highlights in the historical development of the porous media theory: toward a consistent macroscopic theory, Applied Mechanics Reviews 49: 201-262.
19
[20] Detournay E., Cheng A.H.-D., 1993, Fundamentals of Poroelasticity, in: Comprehensive Rock Engineering: Principles, Practice and Projects, edited by J.A. Hudson, Pergamon, Oxford, 113-171.
20
[21] Sandhu R.S., Wilson E.L., 1969, Finite element analysis of seepage in elastic media, ASCE Journal of the Engineering Mechanics 95: 641-652.
21
[22] Detournay E., Cheng A.H.-D.,1993, Fundamentals of Poroelasticity, in: Comprehensive Rock Engineering: Principles, Practice and Projects, Chapter 5, vol. II, Analysis and Design Method, edited by C. Fairhurst, Pergamon Press, 113-171.
22
[23] Abousleiman Y., Ekboote S., 2005, solutions for inclined borehole in porothermoelastic transversely isotropic medium, ASME Journal of Applied Mechanics 72(2): 102-114.
23
[24] Chen P.Y.P., 1980, Axismmetric thermal stresses in an anisotropic finite hollow cylinder, Journal of Thermal Stresses 6(2-4): 197-205.
24
[25] Bai B., 2006, Fluctuation responses of saturated porous media subjected to cyclic thermal loading, Computers and Geotechnics 33: 396-403.
25
[26] Wang Y., Papamichos E., 1994, An analytical solution for conductive heat flow and the thermally induced fluid flow around a wellbore in a poroelastic medium, Water Resource Research 36(5): 3375-3384.
26
[27] Wang Y., Papamichos E., 1999, Thermal effects on fluid flow and hydraulic fracturing from wellbores and cavities in low-permeability formations, International Journal for Numerical and Analytical Methods in Geomechanics 23(15): 1819-1834
27
[28] Ghassemi A., Tao Q., 2009, Influence of coupled chemo-poro-thermoelastic processes on pore pressure and stress distributions around a wellbore in swelling shale, Journal of petroleum science and Engineering 67: 57-64
28
[29] Wirth B., Sobey I., 2006, An axisymmetric and fully 3D poroelastic model for the evolution of hydrocephalus, Mathematical Medicine and Biology 23:363-388.
29
[30] Yang D., Zhang Z., 2002, Poroelastic wave equation including the Biot/squirt mechanism and the solid/fluid coupling anisotropy, Wave Motion 35: 223-245
30
[31] Arora A., Tomar S.K., 2007, Elastic waves along a cylindrical borehole in a poroelastic medium saturated by two immiscible fluids, Journal of Earth System Science 116(3): 225-234.
31
[32] Hamiel Y., Lyakhovsky V., Agnon A., 2004, Coupled evolution of damage and porosity in poroelastic media: theory and applications to deformation of porous rocks, Geophysical Journal International 156: 701-713
32
[33] Ghassemi A., 2007, Stress and pore prepressure distribution around a pressurized, cooled crack in holw permeability rock, Proceedings of the Thirty-Second Workshop on Geothermal Reservoir Engineering, Stanford University, Stanford, California, January 22-24, SGP-TR-183
33
[34] Youssef H.M., 2007, Theory of generalized porothermoelasticity, International Journal of Rock Mechanics & Mining Sciences 44: 222-227.
34
[35] Jourine S., Valkoo P.P., Kronenberg A.K., 2004, Modelling poroelastic hollow cylinder experiments with realistic boundary conditions, International Journal for Numerical and Analytical Methods in Geomechanics 28: 1189-1205 (DOI: 10.1002/nag.383).
35
36
ORIGINAL_ARTICLE
Creep Life Forecasting of Weldment
One of the yet unresolved engineering problems is forecasting the creep lives of weldment in a pragmatic way with sufficient accuracy. There are number of obstacles to circumvent including: complex material behavior, lack of accurate knowledge about the creep material behavior specially about the heat affected zones (HAZ),accurate and multi-axial creep damage models, etc. In general, creep life forecasting may be categorized into two groups, viz., those that are based on microscopic modeling and others that are based on macroscopic (phemenological) concepts. Many different micro-structural processes may cause creep damage .The micro-structural processes highlight the fact that the creep damages can be due to cavity nucleation and growth. Dislocation creep is another mechanism with micro-structural features such as sub-grain formation and growth, new phase formation, such as the Z phase, coarsening leading to the dissolution of the MX phase. This leads to the removal of pinning precipitates, which allow local heterogeneous sub-grain growth, weakening due to this growth and also to the dissolution of the MX. These features normally lead to the earlier formation of tertiary creep and reduced life. Considering welded joints ,the development of models for practical yet sufficiently accurate creep life forecasting based on micro-structural modeling becomes even more complicated due to variation of material in the base, weld and heat-affected-zone (HAZ) and variation of the micro-structure within HAZ and their interactions. So far, and until this date, none of the micro-structural models can forecast the creep life of industrial components with sufficient accuracy in an economic manner. There are several macroscopic (phemenological) models for creep life forecasting, including: time-fraction rule, strain-fraction rule, the reference stress and skeletal stress method, continuum damage model, etc. Each of which has their own limitations .This paper gauges to a multi-axial yet pragmatic and simple model for creep life forecasting weldment operating at high temperature and subjected to an elastic-plastic-creep deformation.
http://jsm.iau-arak.ac.ir/article_514398_8e161d03223fef26a1ad5c076ec9e821.pdf
2011-03-30T11:23:20
2020-06-03T11:23:20
42
63
Strain energy density
Finite Element Analysis
Creep
Weld
Stress/Strain analysis
Failure prediction
J
Jelwan
jad.jelwan@unsw.edu.au
true
1
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
LEAD_AUTHOR
M
Chowdhry
true
2
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
AUTHOR
G
Pearce
true
3
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
Department of Mechanical Engineering and Manufacturing, University of New South Wales, Sydney, Australia
AUTHOR
[1] Portevin A., CR Acad C.,1923, Science 176: 507.
1
[2] Sawada K., Kubo K., Abe F., 2001, Creep behavior and stability of MX precipitates at high temperature in 9Cr-0.5Mo-1.8W-VNb steel. Materials Science and Engineering A 319-321: 784-787.
2
[3] R5, 1995, Assessment Procedure for the High Temperature Response of Structures, Berkely Technology Center, Nuclear Electric plc, (Issue 2).
3
[4] ASME S., III, Rules for Construction of Nuclear Power Plant Components, ASME,USA, 2009, Division 1, Sub-Section NH, Class 1 Components in Elevated Temperature Service.
4
[5] Zarrabi K., J.J., Mamood T., 2010, A Mesoscopic damage model for predicting the plastic-creep life of welded joints subjected to quasi-static loading, Proceedings of ASME IMECE, ASME 2010 International Mechanical Engineering,Congress and Exposition, November 12-18, 2010, Vancouver, British Columbia, Canada, IMECE2010-37042.
5
[6] Zarrabi K., J.J., 2010, Integrity assesment of notched bars subjected to elastic-plastic-creep damage employing multiaxial stress/strain fields, International Journal of Materials Engineering and Technology 3(2): 173-187.
6
[7] Robinson E.L., 1952, Effect of Temperature Variation on the Long-Time Rupture Strength of Steels, ASME, 74: 777-780.
7
[8] Viswanathan R., 1989, Damage Mechanisms and Life Assessment of High Temperature Components, ASM International, Metals Park, OH, 447.
8
[9] Stigh U., 2006, Continuum Damage Mechanics and the Life-Fraction Rule, ASME Journal of Applied Mechanics 73(4): 702-704.
9
[10] Webster G.A., Holdsworth S.R., Loveday M.S., Nikbin K., Perrin I.J., Purper H., Skelton R.P., Spindler M.W, 2004, A code of practice for conducting notched bar creep tests and for interpreting the data, Fatigue and Fracture of Engineering Materials and Structures 27(4): 319-342.
10
[11] Spence J.T.B.A.J.,1983, Stress Analysis for Creep, Butterworths, London 119.
11
[12] Zarrabi K., 1993, Estimation of boiler tube life in presence of corrosion and erosion processes, International Journal of Pressure Vessels and Piping 53(2): 351-358.
12
[13] A., S., 2003, Creep and high temperature failure, in: Comprehensive Structural Integrity 5, Elsevier, Pergamon,UK.
13
[14] Kachanov L.,1958, Time of the Rupture Process Under Creep Conditions, Izv. AN SSSR, Otd. Tekhn, Nauk.
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[15] N., R.Y., Proceedings of XII IUTAM Congress, Stamford, CN, edited by Hetenyi and Vincenti, Springer, 1969, 137.
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[16] Penny R.K., Marriott D.L., 1995, Design for Creep, Chapman and Hall,London, UK.
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[17] Cane B.J., Williams J.A., 1987, Remaining life prediction of high temperature materials, International Materials Reviews 32: 241-264.
17
[18] Shammas M.S., 1987, Estimating the Remaining Life of Boiler Pressure Parts, EPRI Final Report on RP2253-1,4, Electric Power Research Institute, Palo Alto, CA.
18
[19] Cane, B.J., Shammas, M.S.,1984, A Method for Remanent Life Estimation by Quantitative Assessment of Creep Cavitation on PLant, Report TPRD/L/2645/N84, Central Electricity Generating Board, Leatherhead.
19
[20] Elllis F.V., Henry J.F., Shammas M.S., 1989, Remaining Life Estimation of Boiler Pressure Parts,4,Metallographic Models for Weld Heat Affected Zone, EPRI Report CS-5588, Electric Power Research Institue, Palo, Alto,CA, USA.
20
[21] Hayhurst D.R.L., F A.,1983, Behaviour of materials at high temperatures. Mechanical behaviour of materials - IV; Proceedings of the Fourth International Conference, Stockholm, Sweden;, 15-19 Aug, 1195-1211, UK.
21
[22] Brown S.G.R., Evans R.W., Wilshire B., 1986, A comparison of extrapolation techniques for long-term creep strain and creep life prediction based on equations designed to represent creep curve shape, International Journal of Pressure Vessels and Piping 24(3): 251-268.
22
[23] Brown S.G.R., Evans R.W., Wilshire B., 1986, Creep strain and creep life prediction for the cast nickel-based superalloy IN-100, Materials Science and Engineering 84: 147-156.
23
[24] Dyson B., 2000, Use of CDM in Materials Modeling and Component Creep Life Prediction, Journal of Pressure Vessel Technology 122(3): 281-296.
24
[25] McLean M., Dyson B.F., 2000, Modeling the Effects of Damage and Microstructural Evolution on the Creep Behavior of Engineering Alloys, Journal of Engineering Materials and Technology 122(3): 273-278.
25
[26] Budden P.J., 1998, Analysis of the Type IV creep failures of three welded ferritic pressure vessels, International Journal of Pressure Vessels and Piping 75(6): 509-519.
26
[27] Abe F., W.B., Doi H., Hald J., Holdsworth S.R., Igarashi M., Kern T.-U., Kihara S., Kimura K., Kremser T., Lizundia A., Maile K., Masuyama F., Merckling G., Minami Y., Morris P.F., Muraki J.O. T., Sandstrom R., Schubert J., Schwass G., Spindler M., Tabuchi M., Yagi K., Yamada M., 2004, Creep Properties of Heat Resistant Steels and Superalloys, in: Numerical Data and Functional Relationships in Science and Technology, Group VIII: Advanced Materials and Technologies, Subvolume B, 2,Springer-Verlag Berlin, Heidelberg, New York.
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[28] High Temperature Design Data for Ferritic Pressure Vessel, 1983, Mechanical Engineering Publications, Institution of Mechanical Engineers (Great Britain), Creep of Steels Working Party.
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[29] Charles B., 2009, IV Process Piping: The Complete Guide to ASME B31.3, Third Edition,ASME, USA.
29
[30] Tu S.-T., Segle P., Gong J.-M., 1996, Strength design and life assessment of welded structures subjected to high temperature creep, International Journal of Pressure Vessels and Piping 66(1-3): 171-186.
30
[31] Zarrabi K., Ng L., 2008, A Novel and simple approach for predicting creep life based on tertiary creep behavior, Journal of Pressure Vessel Technology 130(4): 041201.
31
[32] Zarrabi K., N.L., 2007, An energy based paradigm for predicting creep life based on tertiary creep behavior, The International Journal of Science and Technology -Scientia Iranica - Transactions on : Mechanical and Civil Engineering 14:450-457.
32
[33] Zarrabi K, H.-T.H., 1997, An innovative robust method for creep life assessments of components containing stress concentrators under primary plus secondary creep, in: Proceedings of the International Joint Power Generation Conference and Exposition, edited by A. Sanyal, A. Gupta and J. Veilleuxn, 2-5 November, EC-Vol.5, ASME, Denver, USA.
33
[34] Zarrabi K., Hosseini-Toudeshky H., 1995, Creep life assessments of defect-free components under uniform load and temperature, International Journal of Pressure Vessels and Piping 62(2): 195-200.
34
[35] Brown R.J., B.J.C., Walters D.J., 1981, Creep Failure analysis of butt welded tubes, Proceedings of the 1st International Conference on Creep and Fracture of Engineering Materials and Structures, Swansea, Pineridge Press, 645-659.
35
[36] ANSYS, ANSYS Release 12.0, ANSYS, Inc., MAY-2008, USA.
36
[37] Wilshire B., Scharning P.J., 2008, Extrapolation of creep life data for 1Cr-0.5Mo steel, International Journal of Pressure Vessels and Piping 85(10): 739-743.
37
38
ORIGINAL_ARTICLE
Large Amplitude Vibration of Imperfect Shear Deformable Nano-Plates Using Non-local Theory
In this study, based on nonlocal differential constitutive relations of Eringen, the first order shear deformation theory of plates (FSDT) is reformulated for vibration of nano-plates considering the initial geometric imperfection. The dynamic analog of the von Kármán nonlinear strain-displacement relations is used to derive equations of motion for the nano-plate. When dealing with nonlinearities, in the frame work of nonlocal theory, challenges are presented because of the coupling between nonlocal stress resultants and displacement terms. Governing equations are solved using differential quadrature method (DQM) and numerical results for free vibration of an imperfect single layered graphene sheet are presented.
http://jsm.iau-arak.ac.ir/article_514399_cd47fac38be18cb6a72d90148884ce1f.pdf
2011-03-30T11:23:20
2020-06-03T11:23:20
67
73
Nonlocal theory
Shear Deformable Nano Plates
Nonlinear vibration
Geometric Imperfection
S.K
Jalali
skjalali@ut.ac.ir
true
1
School of Mechanical Engineering, College of Engineering, University of Tehran
School of Mechanical Engineering, College of Engineering, University of Tehran
School of Mechanical Engineering, College of Engineering, University of Tehran
AUTHOR
A
Rastgoo
arastgo@ut.ac.ir
true
2
School of Mechanical Engineering, College of Engineering, University of Tehran
School of Mechanical Engineering, College of Engineering, University of Tehran
School of Mechanical Engineering, College of Engineering, University of Tehran
LEAD_AUTHOR
I
Eshraghi
true
3
School of Mechanical Engineering, College of Engineering, University of Tehran
School of Mechanical Engineering, College of Engineering, University of Tehran
School of Mechanical Engineering, College of Engineering, University of Tehran
AUTHOR
[1] Terrones M., 2010, Graphene and graphite nano ribbons: Morphology, properties, synthesis, defects and applications, Nano Today 5: 351-372.
1
[2] Ke C.H., Pugnol N., Peng B., Espinosa H.D., 2005, Experiments and modeling of carbon nanotube-based NEMS devices, Journal of the Mechanics and Physics of Solids 53: 1314-1333.
2
[3] Hierold C.h., Jungen A., Stampfer C.h., Helbling T.H., 2007, Nano electromechanical sensors based on carbon nanotubes, Sensors and Actuators A 136: 51-61.
3
[4] Wang C.M., Tan V.B.C., Zhang Y.Y., 2006, Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes, Journal of Sound and Vibration 294: 1060-1072.
4
[5] Wang Q., Varadan V.K., 2006, Vibrationofcarbonnanotubesstudiedusingnonlocalcontinuummechanics, Smart Materials and Structures 15: 659-666.
5
[6] He X.Q., Kitipornchai S., Liew K.M., 2005, Resonance analysis of multi-layered grapheme sheets used as nano scale resonators, Nanotechnology 16: 2086-2091.
6
[7] Gibson R.F., Ayorinde O.E., Wen Y.F., 2007, Vibration of carbon nanotubes and there composites: a review, Composites Science and Technology 67: 1-28.
7
[8] Reddy J.N., 2010, Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates, International Journal of Engineering Science, in press.
8
[9] Reddy J.N., 2007, Nonlocal theories for bending, buckling, and vibration of beams, International Journal of Engineering Science 45: 288-307.
9
[10] Pradhan S.C., Phadikar J.K., 2009, Nonlocal elasticity theory for vibration of nano plates, Journal of Sound and Vibration 325: 206-223.
10
[11] Murmu T., Pradhan S.C., 2009, Small-scale effect on the free in-plane vibration of nano plates by nonlocal continuum model, Physica E: Low-dimensional Systems and Nanostructures 41:1628-1633.
11
[12] Behfar K., Naghdabadi R., 2005, Nanoscale vibrational analysis of a multi-layered grapheme sheet embedded in an elastic medium, Composites Science and Technology 65: 1159-1164.
12
[13] Liew K.M., He X.Q., Kitipornchai S., 2006, Predicting nano vibration of multi-layered grapheme sheets embedded in an elastic matrix, Acta Materialia 54:4229-4236.
13
[14] Kitipornchai S., Yang J., Liew K.M., 2004, Semi-analytical solution for nonlinear vibration of laminated FGM plates with geometric imperfections, International Journal of Solids and Structures 41:2235-2257.
14
[15] Yang J., Shen H.S., 2002, Vibration characteristics and transient response of shear deformable functionally graded plates in thermal environment, Journal of Sound and Vibration 255: 579-602.
15
[16] Eringen A.C., 2002, Nonlocal Continuum Field Theories, Springer, New York.
16
[17] Pradhan, S.C., Murmu T.,2009, Small scale effect on the buckling of single-layered grapheme sheets under bi-axial compression via nonlocal continuum mechanics, Computational Materials Science 47(1): 268-274.
17
[18] Shu C., 2000, Differential Quadrature and Its Application in Engineering, Springer, London.
18
[19] Leissa, A.W., 1973, The free vibration of rectangular plates, Journal of Sound and Vibration 31(3): 257-293.
19
[20] Kitipornchai S., He X.Q, Liew K.M., 2005, Continuum model for the vibration of multilayered grapheme sheets. Physical Review B 72: 6, (075443).
20
21
ORIGINAL_ARTICLE
Dynamic Characteristics and Vibrational Response of a Capacitive Micro-Phase Shifter
The objective of this paper is to control the phase shifting by applying a bias DC voltage and changing the mechanical characteristics in electrostatically-actuated micro-beams. This problem can be more useful in the design of micro-phase shifters, which has not generally been investigated their mechanical behavior. By presenting a mathematical modeling, Galerkin-based step by step linearization method (SSLM) and Galerkin-based reduced order model have been used to solve the governing static and dynamic equations, respectively. The equilibrium positions or fixed pints of the system have been determined and the calculated static and dynamic pull-in parameters have been validated by previous experimental and theoretical results and a good agreement has been achieved. The frequency response of the system has been studied and illustrated that changing applied bias DC voltage affects the resonance frequency and maximum amplitude of the system vibrations. Then, phase diagram of the system for various damping ratio and excitation frequencies has been gained. It has been shown that by changing the bias DC voltage applied on the electrostatically-actuated micro-beam, which can be used as a varactor in phase shifter circuit, the stiffness of the micro-beam changes and consequently the phase shifting can be controlled. Finally, effect of the geometrical and mechanical properties of the micro-beam on the value of the phase shifting has been studied.
http://jsm.iau-arak.ac.ir/article_514400_86a4e8def62942e5c1aaa728fa37b0a8.pdf
2011-03-30T11:23:20
2020-06-03T11:23:20
74
84
MEMS
Phase shifter
Micro-beam
Electrostatic
Pull-in phenomena
M
Fathalilou
true
1
Mechanical Engineering Department, University of Tabriz
Mechanical Engineering Department, University of Tabriz
Mechanical Engineering Department, University of Tabriz
AUTHOR
M
Sadeghi
true
2
Mechanical Engineering Department, University of Tabriz
Mechanical Engineering Department, University of Tabriz
Mechanical Engineering Department, University of Tabriz
AUTHOR
S
Afrang
true
3
Electrical Engineering Department, Urmia University
Electrical Engineering Department, Urmia University
Electrical Engineering Department, Urmia University
AUTHOR
G
Rezazadeh
g.rezazadeh@urmia.ac.ir
true
4
Mechanical Engineering Department, Urmia University
Mechanical Engineering Department, Urmia University
Mechanical Engineering Department, Urmia University
LEAD_AUTHOR
[1] Sallese J M., Grabinski W., Meyer V., Bassin C., Fazan P., 2001, Electrical modeling of a pressure sensorMOSFET, Sensors and Actuators A: 94: 53-58.
1
[2] Nabian A., Rezazadeh G., Haddad derafshi M., Tahmasebi A., 2008, Mechanical behavior of a circular micro plate Subjected to uniform hydrostatic and non-uniform electrostatic pressure, Journal of Microsystem Technologies 14: 235-240.
2
[3] Rezazadeh G., Fathalilou M., Shabani R., Tarverdilou S., Talebian S., 2009, Dynamic characteristics and forced response of an electrostatically actuated micro-beam subjected to fluid loading, Journal of Microsystem Technologies 15: 1355-1363.
3
[4] Senturia S., 2001, Microsystem Design, Kluwer, Norwell, MA, USA.
4
[5] Fathalilou M., Motallebi A., Rezazadeh G., Yagubizade H., Shirazi K., Alizadeh Y., 2009, Mechanical behavior of an electrostatically-actuated micro-beam under mechanical shock, Journal of Solid Mechanics 1: 45-57.
5
[6] Abdel-Rahman E M., Younis M I., Nayfeh A H., 2002, Characterization of the mechanical behavior of an electrically actuated micro-beam, Journal of Micromechanics and Microengineering 12: 759-766.
6
[7] Nayfeh A., Younis M. I., 2005, Dynamics of MEMS resonators under superharmonic and subharmonic excitations, Journal of Micromechanics and Microengineering 15: 1840-1847.
7
[8] Younis M. I., Miles R., Jordy D., 2006, Investigation of the response of microstructures under the combined effect of mechanical shock and electrostatic forces, Journal of Micromechanics and Microengineering 16: 2463-2474.
8
[9] Rezazadeh G., Fathalilou M., Sadeghi M., 2011, Pull-in voltage of electrostatically-actuated micro-beams in terms of lumped model pull-in voltages using novel design corrective coefficients, Journal of Sensing and Imaging, 10.1007/s11220-011-0065-2.
9
[10] Shiban K., Bharathi B., 1991, Microwave and Millimeter Wave Phase Shifters 1, Boston, Artech House.
10
[11] Shiban K., Bharathi B., 1991, Microwave and Millimeter Wave Phase Shifters 2, Boston, Artech House.
11
[12] Simon JW., Alverson W K., Pippin J E., 1966, A Reciprocal TEM latching ferrite phase shifter, International. Microwave Symposium, 241-246.
12
[13] Garver R V., 1972, Broadband diode phase shifters, IEEE Transactions on Microwave Theory and Techniques 20:658-674.
13
[14] Andricos C., Bahi I J., Griffin E L., 1985, C-band 6-bit gas monolithic phase shifter, IEEE Transactions on Microwave Theory and Techniques 33: 1591-1596.
14
[15] Vorhous J L., Pucel R A., 1982, Monolithic dual-gate GaAs FET digital phase shifter, IEEE Transactions on Microwave Theory and Techniques 30: 982-992.
15
[16] Barker N S., Rebciz G M., 1998, Distributed MEMS true-time delay phase shifters and wide-band switches, IEEE Transactions on Microwave Theory and Techniques 46: 1881-1890.
16
[17] Hayden J S., Rebeiz G M., 2003, Very low-loss distributed X-band and Ka-band MEMS phase shifters using metal–air–metal capacitors, IEEE Transactions on Microwave Theory and Techniques 51(1): 309-314.
17
[18] Hayden J. S., Rebeiz G. M., 2000, 2-bit MEMS distributed X-band phase shifters, IEEE Microwave Guided Wave Letters 10: 540-542.
18
[19] Pillans B., Eshelman S., Malczewski A., Ehmke J., Goldsmith C G., 1999, Ka-band RF MEMS phase shifters, IEEE Microwave Guided Wave Letters 9: 520-522.
19
[20] Malczewski A., Eshelman S., Pillans B., Ehmke J., Goldsmith C L., 1999, X-band RF MEMS phase shifters for phased array applications, IEEE Microwave and Guided Wave Letters 9(12): 517-519.
20
[21] Younis M I., Abdel-Rahman E M., Nayfeh A., 2003, A Reduced-order model for electrically actuated micro-beam-based MEMS, Journal of Microelectromechanical Systems 12(5):672-680.
21
[22] Rezazadeh G., Fathalilou M., Shabani R., 2009, Static and dynamic stabilities of a micro-beam actuated by a piezoelectric voltage, Journal of Microsystem Technologies 15: 1785–1791.
22
[23] Nayfeh H., Mook, 1979, Nonlinear Oscillations, New York, Wiley and Sons.
23
[24] Osterberg P M., Senturia S D., 1997, M-TEST: a test chip for MEMS material property measurement using electrostatically actuated test structures, Journal of Microelectromechanical Systems 6:107-118.
24
[25] Hung E S., Senturia S D., 1999, Generating efficient dynamical models for microelectromechanical systems from a few finite-element simulation runs, Journal of Microelectromechanical Systems 8: 280-289.
25
26
ORIGINAL_ARTICLE
Hygrothermal Analysis of Laminated Composite Plates by Using Efficient Higher Order Shear Deformation Theory
Hygrothermal analysis of laminated composite plates has been done by using an efficient higher order shear deformation theory. The stress field derived from hygrothermal fields must be consistent with total strain field in this type of analysis. In the present formulation, the plate model has been implemented with a computationally efficient C0 finite element developed by using consistent strain field. Special steps are introduced to circumvent the requirement of C1coninuity in the original plate formulation and C0 continuity of the present element has been compensated in stiffness matrix calculations. The accuracy of the proposed C0 element is established by comparing the results with those obtained by three dimensional elasticity solutions and other finite element analysis.
http://jsm.iau-arak.ac.ir/article_514401_0b78653684aa67e78da6308b9f1c0183.pdf
2011-03-30T11:23:20
2020-06-03T11:23:20
85
95
Finite Element
Higher order
Static Analysis
Laminated composites
Hygrothermal load
S.K
Singh
sushilbit@yahoo.co.in
true
1
Department of Civil Engineering, Indian Institute of Technology
Department of Civil Engineering, Indian Institute of Technology
Department of Civil Engineering, Indian Institute of Technology
LEAD_AUTHOR
A
Chakrabarti
true
2
Department of Civil Engineering, Indian Institute of Technology
Department of Civil Engineering, Indian Institute of Technology
Department of Civil Engineering, Indian Institute of Technology
AUTHOR
[1] Whitney J.M., Ashton J.E., 1971, Effect of environment on the elastic response of layered composite plates, AIAA Journal 9: 1708-1713.
1
[2] Wu C.H., Tauchert T.R., 1980, Thermoelastic analysis of laminated plates 2: Antisymmetric cross-ply and angle-ply laminates, Journal of Thermal Stresses 3: 365-378.
2
[3] Rolfes R., Noor A.K., Sparr H., 1998, Evaluation of transverse thermal stresses in composite plates based on first-order shear deformation theory, Computer Methods Applied in Mechanical Engineering 167:355-368.
3
[4] Reddy J.N., 1984, A Simple higher-order theory for laminated composite plates, ASME Journal of Applied Mechanics 51: 745-782.
4
[5] Reddy J.N., Hsu Y. S., 1984, Effects of shear deformation and anisotropy on the thermal bending of layered composite plates, Journal of Thermal Stresses 3: 475-493.
5
[6] Sai Ram K. S., Sinha P.K., 1991, Hygrothermal effects on the bending characteristics of laminated composite plates, Computers and Structures 40: 1009-1015.
6
[7] Kapania K.R., Mohan P., 1996, Static free vibration and thermal analysis of composite plates and shells using a flat shell element, Computational Mechanics 17: 343-357.
7
[8] Chandrashekhara K., Tenneti R., 1994, Non linear static and dynamic analysis of heated laminated plates, Composite Structures 51: 85-94.
8
[9] Reddy J.N., 1984, A simple higher-order theory for laminated composite plates. ASME Journal of Applied Mechanics 45: 745-752.
9
[10] Phan N.D., Reddy J.N., 1985, Analyses of laminated composite plates using a higher-order shear deformation theory, International Journal of Numerical Methods Engineering 21: 2201-2219.
10
[11] DiScuiva M., 1987, An improved shear deformation theory for moderately thick multilayered anisotropic shells and plates, ASME Journal of Applied Mechanics 54: 589-596.
11
[12] Chakrabarti A., Sheikh A.H., 2003, A new plate bending element based on higher order shear deformation theory for the analysis of composite plates, Finite Elements Analysis and Design 39(9): 883-903.
12
[13] Rohwer K., Rolfes R., Sparr H., 2001, Higher-order theories for thermal stresses in layered plates, International Jounal of Solids and Structures 38: 3673-3687.
13
[14] Patel B.P., Ganapathi M., Makhecha D.P., 2002, Hygrothermal effects on the structural behavior of thick composite laminates using higher-order theory, Composite Structures 56: 25-34.
14
[15] Zhen Wu., Wanji Chen., 2006, An efficient higher order theory and finite element for laminated plates subjected to thermal loading, Composite Structures 73: 99-109.
15
[16] Zhen Wu., Wanji Chen., 2007, A quadrilateral element based on refined global-local higher- order theory for coupling bending and extension thermo-elastic multilayered plates, International Jounal of Solids and Structures 44: 3187-3217.
16
[17] Zhen Wu., Wanji Chen., Xiaohui Ren., 2009, Refined global-local higher order theory for angle-ply laminated plates under thermo-mechanical loads and finite element model, Composite Structures 88: 643-658.
17
[18] Brischetto S., Carrera E., 2010, Coupled thermo-mechanical analysis of one-layered and multilayered plates, Composite Structures 92: 1793-1812.
18
[19] Zhen Wu., Cheung Y. K., Sh Lo., Wanji Chen., 2010, On the thermal expansion effects in the transverse direction of laminated composite plates by means of global-local higher-order model, International Journal of Mechanical Science 52: 970-981.
19
[20] Murakami H., 1993, Assessment of plate theories for treating the thermomechanical response of layered plates, Composite Engineering 3(2): 137-149.
20
[21] Savoia M., Reddy J.N., 1995, Three-dimensional thermal analysis of laminated composite plates, International Jounal of Solids and Structures 32(5): 593-608.
21
[22] Bhaskar K., Varadan T.K., Ali J.S.M., 1996, Thermoelastic solutions for orthotropic and anisotropic composite laminates, Composites Part B 27: 415-420.
22
[23] Kant T., Pendheri Sandeep S., Desai Yogesh M., 2008, An efficient semi analytical model for composite and sandwich plates subjected to thermal load, Journal of Thermal Stresses 31(1): 77-103.
23
[24] Shankara C.A., Iyengar N.G.R., 1992, Analysis of composite plates with higher-order shear deformation theory, Mechanics Research Communications 19(4): 301-314.
24
[25] Naganarayana B.P., Mohan P.Rama., Prathap G., 1997, Accurate thermal stress predictions using C0-continuous higher order shear deformable elements, Computer Methods in Applied Mechanical Engineering 144: 61-75.
25
[26] Prathap G., Naganarayana B.P, 1995, Consistent thermal stress evaluation in finite elements, Computers and Structures 54(3): 415-426.
26
[27] Das Y.C., Rath B. K., 1972, Thermal bending of moderately thick rectangular plates, AIAA Journal 10: 1349-135.
27
[28] Timoshenko S., Woinowsky-K., 1959, Theory of Plates and Shells, Second Edition, McGraw-Hill, New York.
28
29
ORIGINAL_ARTICLE
Nonlinear Finite Element Analysis of Bending of Straight Beams Using hp-Spectral Approximations
Displacement finite element models of various beam theories have been developed using traditional finite element interpolations (i.e., Hermite cubic or equi-spaced Lagrange functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, total rotation φ and/or shear strain γxz, or in the integral form used (e.g., weak form or least-squares) to develop the finite element model. The present study is concerned with the development of alternative beam finite elements using hp-spectral nodal expansions to eliminate shear and membrane locking. Both linear and non-linear analysis are carried out using both displacement and mixed finite element models of the beam theories studied. Results obtained are compared with both analytical (series) solutions and non-linear finite element solutions from literature, and excellent agreement is found for all cases.
http://jsm.iau-arak.ac.ir/article_514402_2ad9d83b9ba030e504a0d4e604a7fc73.pdf
2011-03-30T11:23:20
2020-06-03T11:23:20
96
113
spectral/hp method
Timoshenko Beam Theory
Euler-Bernoulli beam theory
Nodal expansions
Displacement and mixed finite element models
R
Ranjan
ranrakesh@gmail.com
true
1
SiViRT Center, University of Texas, San Antonio Department of Mechanical Engineering San Antonio
SiViRT Center, University of Texas, San Antonio Department of Mechanical Engineering San Antonio
SiViRT Center, University of Texas, San Antonio Department of Mechanical Engineering San Antonio
LEAD_AUTHOR
[1] Reddy J.N., 2004, An Introduction to Non-Linear Finite Element Analysis, Oxford University Press, NY.
1
[2] Severn R.T., 1970, Inclusion of shear deflection in the stiffness matrix for a beam element, Journal of Strain Analysis 5: 239-241.
2
[3] Reddy J.N., Wang C.M., Lam K.Y., 1997, Unified Finite Elements based on the classical and shear deformation theories of beams and axisymmetric circular plates, Communications in Numerical Methods in Engineering 13: 495-510.
3
[4] Reddy J.N., 1997, On Locking-free shear deformable beam finite elements, Computer Methods in Applied Mechanics and Engineering 149: 113-132.
4
[5] Arciniega R.A., Reddy J.N., 2007, Large deformation analysis of functionally graded shells, International Journal of Solids and Structures 44: 2036-2052.
5
[6] Karniadakis G.K., Sherwin, S., 2004, Spectral/hp Element Methods for Computational Fluid Dynamics, Oxford Science Publications, London.
6
[7] Bar-Yoseph P.Z., Fisher D., Gottlieb O., 1996, Spectral element methods for nonlinear spatio-temporal dynamics of Euler-Bernoulli beam, Computational Mechanics 19: 136-151.
7
[8] Melenk J.M., 2002, On Condition numbers in hp-FEM with Gauss-Lobatto-based shape functions, Journal of Computational and Applied Mathematics 139: 21-48.
8
[9] Maitre J.F., Pourquier O., 1996, Condition number and diagonal preconditioning: comparison of the p-version and the spectral element methods, Numerische Mathematik 74: 69-84.
9
[10] Cook R.D., Malkus D.S., Plesha M.E., Witt R.J., 2002, Concepts and Applications of Finite Element Analysis, John Wiley and Sons Inc., NY.
10
[11] Edem I.B. 2006, The exact two-node Timoshenko beam finite element using analytical bending and shear rotation interdependent shape functions, International Journal for Computer Methods in Engineering Science and Mechanics 7: 425-431.
11
[12] Pontaza J.P., Reddy J.N., 2004, Mixed Plate Bending elements based on Least Squares Formulations, International Journal for Numerical Methods in Engineering 60: 891-922.
12
[13] Reddy J.N., 2002, An Introduction to Finite Element Method, Mc.Graw Hill, NY.
13
[14] Osilenker B., 1999, Fourier Series in Orthogonal Polynomials, World Scientific.
14
[15] Prabhakar V., Reddy J.N., 2007, Orthogonality of Modal basis in hp finite element models, International Journal for Numerical Methods in Fluids 54: 1291-1312.
15
[16] Reddy J.N., 2007, Non local theories for bending, buckling, and vibration of beams, International Journal of Engineering Science 45: 288-307.
16
[17] Reddy J.N., 1999, Theory and Analysis of Elastic Plates, Taylor and Francis, London.
17