ORIGINAL_ARTICLE
Reflection and Transmission of Longitudinal Wave at Micropolar Viscoelastic Solid/Fluid Saturated Incompressible Porous Solid Interface
In this paper, the reflection and refraction of longitudinal wave from a plane surface separating a micropolar viscoelastic solid half space and a fluid saturated incompressible half space is studied. A longitudinal wave (P-wave) impinges obliquely at the interface. Amplitude ratios for various reflected and transmitted waves have been obtained. Then these amplitude ratios have been computed numerically for a specific model and results thus obtained are shown graphically with angle of incidence of incident wave. It is found that these amplitude ratios depend on angle of incidence of the incident wave as well as on the properties of media. A particular case when longitudinal wave reflects at free surface of micropolar viscoelastic solid has been deduced and discussed. From the present investigation, a special case when fluid saturated porous half space reduces to empty porous solid has also been deduced and discussed with the help of graphs.
http://jsm.iau-arak.ac.ir/article_514599_7f51124ab981998e9a8cdc4acd819373.pdf
2014-09-30T11:23:20
2019-10-22T11:23:20
240
254
Micropolar viscoelastic solid
Porous
Reflection
Longitudinal wave
Amplitude ratios
N
Kumari
neelamkumaricdlu@gmail.com
true
1
Department of Mathematics, Ch. Devi Lal University, Sirsa
Department of Mathematics, Ch. Devi Lal University, Sirsa
Department of Mathematics, Ch. Devi Lal University, Sirsa
LEAD_AUTHOR
[1] Arora A., Tomar S. K., 2010, Seismic reﬂection from an interface between an elastic solid and a fractured porous medium with partial saturation, Transport in Porous Media 85:375-396.
1
[2] Bowen R.M., 1980, Incompressible porous media models by use of the theory of mixtures, International Journal of Engineering Science 18:1129-1148.
2
[3] Chen W., Xia T., Sun M., Zhai C., 2012, Transverse wave at a plane interface between isotropic elastic and unsaturated porous elastic solid half-spaces, Transport in Porous Media 94:417-436.
3
[4] de Boer R., Didwania A. K., 2004, Two phase flow and capillarity phenomenon in porous solid-a continuum thermomechanical approach, Transport in Porous Media 56:137-170.
4
[5] de Boer R., Ehlers W., 1990, Uplift, friction and capillarity-three fundamental effects for liquid-saturated porous solids, International Journal of Solids and Structures B 26:43-57.
5
[6] de Boer R., Ehlers W., 1990, The development of the concept of effective stress, Acta Mechanica A 83: 77-92.
6
[7] de Boer R., Ehlers W., Liu Z., 1993, One-dimensional transient wave propagation in fluid-saturated incompressible porous media, Archive of Applied Mechanics 63(1):59-72.
7
[8] de Boer R., LiuZ., 1994, Plane waves in a semi-infinite fluid saturated porous medium, Transport in Porous Media, 16 (2): 147-173.
8
[9] de Boer R., Liu Z., 1995, Propagation of acceleration waves in incompressible liquid - saturated porous solid, Transport in porous Media 21: 163-173.
9
[10] de Boer R., Liu Z., 1996, Growth and decay of acceleration waves in incompressible saturated poroelastic solids, Zeitschrift für Angewandte Mathematik und Mechanik 76:341-347.
10
[11] Eringen A.C., 1967, Linear theory of micropolar viscoelasticity, International Journal of Engineering Science 5:191-204.
11
[12] EringenA.C., Suhubi E.S., 1964, Nonlinear theory of simple micro-elastic solids I, International Journal of Engineering Science 2:189-203.
12
[13] Fillunger P., 1913, Der Auftrieb in Talsperren, Osterr, Wochenschrift fur den offen Baudienst, Franz Deuticke,Wien.
13
[14] Gautheir R.D., 1982, Experimental Investigations on Micropolar Media, Mechanics of Micropolar Media , Brulin O, Hsieh R K T., World Scientific, Singapore.
14
[15] Gupta V., Vashishth A.K., 2013, Reflection and Transmission Phenomena in Poroelastic Plate Sandwiched between Fluid Half Space and Porous Piezoelectric Half Space, Smart Materials Research.
15
[16] Kumar M., Saini R., 2012, Reﬂection and refraction of attenuated waves at boundary of elastic solid and porous solid saturated with two immiscible viscous ﬂuids, Applied Mathematics and Mechanics 33(6): 797-816.
16
[17] Kumar R., Divya T., Kumar K., 2012, Effect of imperfectness on reflection and transmission coefficients in swelling porous elastic media at an imperfect boundary , Global Journal of Science Frontier Research 12(2) : 88-99.
17
[18] Kumar R., Hundal B. S., 2007, Surface wave propagation in fluid - saturated incompressible porous medium, Sadhana, 32(3): 155-166.
18
[19] KumarR., Gogna M.L., Debnath L.,1990, On lamb’s problem in micropolar viscoelastic half-space with stretch, International Journal of Mathematics and Mathematical Sciences 13:363-372.
19
[20] Kumar R., Miglani A., Kumar S., 2011, Reflection and transmission of plane waves between two different fluid saturated porous half spaces, Bulletin of the Polish Academy of Sciences Technical 59(2):227-234.
20
[21] Kumar R., Panchal M., 2010, Response of loose bonding on reﬂection and transmission of elastic waves at interface between elastic solid and micropolar porous cubic crystal, Applied Mathematics and Mechanics 31(5): 605-616.
21
[22] LiuZ., 1999, Propagation and evolution of wave fronts in two-phase porous media, Transport in Porous Media 34: 209-225.
22
[23] Parfitt V.R, Eringen A.C., 1969, Reflection of plane waves from the flat boundary of a micropolar elastic half space, Journal of the Acoustical Society of America 45:1258-1272.
23
[24] Sharma M. D., Kumar M., 2011, Reﬂection of attenuated waves at the surface of a porous solid saturated with two immiscible viscous ﬂuids, Geophysical Journal International 184: 371-384.
24
[25] Sharma M. D., Kumar M., 2013, Reflection and transmission of attenuated waves at the boundary between two dissimilar poroelastic solids saturated with two immiscible viscous fluids, Geophysical Prospecting 61(5): 1035-1055.
25
[26] Singh B., 2000, Reflection and transmission of plane harmonic waves at an interface between liquid and micropolar viscoelastic solid with stretch, Sadhana 25(6):589-600.
26
[27] Singh B., 2002, Reflection of plane micropolar viscoelastic waves at a loosely bonded solid-solid interface, Sadhana, 27(5):493-506.
27
[28] Suhubi E.S., Eringen A.C., 1964, Nonlinear theory of micro-elastic solids II, International Journal of Engineering Science 2: 389-404.
28
[29] Tajuddin M., Hussaini S.J., 2006, Reflection of plane waves at boundaries of a liquid filled poroelastic half-space, Journal of Applied Geophysics 58:59-86.
29
[30] Tomar S. K., Khurana A., 2011, Transmission of longitudinal wave through micro-porous elastic solid interface, International Journal of Engineering Science and Technology 3(2): 12-21.
30
[31] Yan Bo., Liu Z., Zhang X., 1999, Finite element analysis of wave propagation in a fluid saturated porous media, Applied Mathematics and Mechanics 20:1331-1341.
31
ORIGINAL_ARTICLE
Investigation of Vibrational Behavior of Perfect and Defective Carbon Nanotubes Using Non–Linear Mass–Spring Model
In the present study, the effects of arrangement and distribution of multifarious types of defects on fundamental frequency of carbon nanotubes are investigated with respect to different chirality and boundary conditions. Interatomic interactions between each pair of carbon atoms are modeled using two types of non–linear spring–like elements. To obtain more information about the influences of defects; the effects of location, number and distribution (gathered or scattered defects) of two most common types of defects (vacancy and Stone–Wales defects) are examined on vibrational behavior of carbon nanotubes. Obtained results are in good agreement with the results reported in other literature. The results show that, gathered vacancy defects cause to a reduction in natural frequency of nanotubes, especially in the case of fix–fix boundary condition. It is also observed that the effect of defects depends on chirality intensively. In addition, the influence of the first vacancy defect is significantly more than the first Stone–Wales defect.
http://jsm.iau-arak.ac.ir/article_514600_82f7c2c5b4496c6559ef012680496bc3.pdf
2014-09-30T11:23:20
2019-10-22T11:23:20
255
264
Carbon Nanotube
Vacancy defect
Stone–wales defect
Natural frequency
Non–linear spring
A.A
Shariati
true
1
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
AUTHOR
A.R
Golkarian
true
2
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
AUTHOR
M
Jabbarzadeh
jabbarzadeh@mshdiau.ac.ir
true
3
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University
LEAD_AUTHOR
[1] Iijima S., 1991, Helical microtubules of graphitic carbon, Nature 354: 56-58.
1
[2] Demczyk B.G., Wang Y.M., Cumings J., Hetman M., Han W., Zettl A., 2002, Direct mechanical measurement of the tensile strength and elastic modulus of multiwalled carbon nanotubes, Materials Science and Engineering A 334: 173-178.
2
[3] Goze C., Vaccarini L., Henrard L., Bernier P., Hernandez E., Rubio A., 1999, Elastic and mechanical properties of carbon nanotubes, Synthetic Metals 103: 2500-2501.
3
[4] Krishnan A., Dujardin E., Ebbesen T.W., Yianilos P.N., Treacy M.M.J., 1998, Young’s modulus of single–walled nanotubes, Physical Review B 58(20): 14013-14019.
4
[5] Popov V.N., 2004, Carbon nanotubes: properties and applications, Materials Science and Engineering R 43: 61-102.
5
[6] Ruoff R.S., Lorents D.C., 1995, Mechanical and thermal properties of carbon nanotubes, Carbon 33: 925-930.
6
[7] Lasjaunias J. C., 2003, Thermal properties of carbon nanotubes, C R Physique 4: 1047-1054.
7
[8] Issi J.P., Langer L., Heremans J., Olk C.H., 1995, Electronic properties of carbon nanotubes: experimental results, Carbon 33: 941-948.
8
[9] Mintmire J.W., White C.T., 1995, Electronic and structural properties of carbon nanotubes, Carbon 33: 893-902.
9
[10] Thostenson E.T., Ren Z., Chou T.W., 2001, Advanced in the science and technology of carbon nanotubes and their composites: a review, Composite Science and Technology 61: 1899-1912.
10
[11] Ruoff R.S., Qian D., Liu W.K., 2003, Mechanical properties of carbon nanotubes: theoretical predictions and experimental measurements, C R Physique 4: 993-1008.
11
[12] Paradise M., Goswami T., 2007, Carbon nanotubes production and industrial applications, Materials and Design 28: 1477-1489.
12
[13] Hoenlein W., Kreupl F., Duesberg G.S., Graham A.P., Liebau M., Seidel R., 2003, Carbon nanotubes for microelectronics: status and future prospects, Materials Science and Engineering C 23: 663-669.
13
[14] Tran P.A., Zhang L., Webster T.J., 2009, Carbon nanofibers and carbon nanotubes in regenerative medicine, Advanced Drug Delivery Reviews 61: 1097-1114.
14
[15] Li C., Thostenson E.T., Chou T.W., 2008, Sensors and actuators based on carbon nanotubes and their composites: A review, Composites Science and Technology 68: 1227-1249.
15
[16] Gibson R.F., Ayorinde E.O., Wen Y.F., 2007, Vibrations of carbon nanotubes and their composites: A review, Composites Science and Technology 67: 1-28.
16
[17] Andrews R., Jacques D., Qian D., Dickey E.C., 2001, Purification and structural annealing of multiwalled carbon nanotubes at graphitization temperatures, Carbon 39: 1681-1687.
17
[18] Mawhinney D.B., Naumenko V., Kuznetsova A., Yates Jr. J.T., Liu J., Smalley R.E., 2000, Surface defect site density on single walled carbon nanotubes by titration, Chemical Physics Letters 324: 213-216.
18
[19] Nardelli M.B., Fattebert J.L., Orlikowski D., Roland C., Zhao Q., Bernholc J., 2000, Mechanical properties, defects and electronic behavior of carbon nanotubes, Carbon 38: 1703-1711.
19
[20] Terrones M., Botello–Mendez A.R., Campos-Delgado J., Lopez-Urias F., Vega-Cantu Y.I., Rodriguez-Macias F.J., 2010, Graphene and graphite nanoribbons: Morphology, properties, synthesis, defects and applications, Nano Today 5: 351-372.
20
[21] Duan W.H., Wang C.M., Zhang Y.Y., 2007, Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics, Journal of Applied Physics 101: 024305.
21
[22] Hashemnia K., Farid M., Vatankhah R., 2009, Vibrational analysis of carbon nanotubes and graphene sheets using molecular structural mechanics approach, Computational Materials Science 47: 79-85.
22
[23] Sakhaee–Pour A., Ahmadian M.T., Vafai A., 2009, Vibrational analysis of single–walled carbon nanotubes using beam element, Thin–Walled Structures 47: 646-652.
23
[24] Georgantzinos S.K., Anifantis N.K., 2009, Vibration analysis of multi–walled carbon nanotubes using a mass–spring based finite element model, Computational Materials Science 47: 168-177.
24
[25] Chowdhury R., Adhikari S., Wang C.Y., Scarpa F., 2010, A molecular mechanics approach for the vibration of single–walled carbon nanotubes, Computational Materials Science 48: 730-735.
25
[26] Arghavan S., Singh A.V., 2011, On the vibrations of single–walled carbon nanotubes, Journal of Sound and Vibration 330: 3102-3122.
26
[27] Yan Y., Shi G., Zhao P., 2011, Frequency study of single–walled carbon nanotubes based on a space–frame model with flexible connections, Journal of Computers 6: 1125-1130.
27
[28] Joshi A.Y., Sharma S.C., Harsha S.P., 2011, The effect of pinhole defect on vibrational characteristics of single walled carbon nanotube, Physica E 43: 1040-1045.
28
[29] Parvaneh V., Shariati M., Torabi H., 2011, Frequency analysis of perfect and defective SWCNTs, Computational Materials Science 50: 2051-2056.
29
[30] Ebrahim Zadeh Z., Yadollahpour M., Ziaei-Rad S., Karimzadeh F., 2012, The effect of vacancy defects and temperature on fundamental frequency of single walled carbon nanotubes, Computational Materials Science 63: 12-19.
30
[31] Ansari R., Ajori S., Arash B., 2012, Vibrations of single- and double-walled carbon nanotubes with layerwise boundary conditions: A molecular dynamics study, Current Applied Physics 12: 707-711.
31
[32] Ghavamian A., Ochsner A., 2013, Numerical modeling of eigen modes and eigenfrequencies of single- and multi-walled carbon nanotubes under the influence of atomic defects, Computational Materials Science 72: 42-48.
32
[33] Golkarian A.R., Jabbarzadeh M., 2013, The density effect of van der Waals forces on the elastic modules in graphite layers, Computational Materials Science 74: 138-142.
33
[34] Golkarian A.R., Jabbarzadeh M., 2012, The attitude of variation of elastic modules in single wall carbon nanotubes: nonlinear mass-spring model, Journal of Solid Mechanics 4(1): 106-113.
34
[35] WenXing B., ChangChun Z., WanZhao C., 2004, Simulation of Young’s modulus of single–walled carbon nanotubes by molecular dynamics, Physica B 352: 156-163.
35
[36] Rappe A.K., Casewit C.J., Colwell K.S., Goddard W.A., Skiff W.M., 1992, A full periodic table force field for molecular mechanics and molecular dynamics simulations, Journal of American Chemical Society 114: 10024-10035.
36
[37] Xiao J.R., Gama B.A., Gillespie Jr. J.W., 2005, An analytical molecular structural mechanics model for the mechanical properties of carbon nanotubes, International Journal of Solids and Structures 42: 3075-3092.
37
[38] Machida K., 1999, Principles of Molecular Structural Mechanics,Wiley and Kodansha.
38
[39] Odegard G.M., Gates T.S., Nicholson L.M., Wise K.E., 2002, Equivalent–continuum modeling of nano–structured materials, Composite Science and Technology 62: 1869-1880.
39
ORIGINAL_ARTICLE
Nonlinear Dynamic Buckling of Viscous-Fluid-Conveying PNC Cylindrical Shells with Core Resting on Visco-Pasternak Medium
The use of intelligent nanocomposites in sensing and actuation applications has become quite common over the past decade. In this article, electro-thermo-mechanical nonlinear dynamic buckling of an orthotropic piezoelectric nanocomposite (PNC) cylindrical shell conveying viscous fluid is investigated. The composite cylindrical shell is made from Polyvinylidene Fluoride (PVDF) and reinforced by zigzag boron nitride nanotubes (BNNTs) where characteristics of the equivalent PNC being determined using micro-mechanical model. The poly ethylene (PE) foam-core is modeled based on Pasternak foundation. Employing the charge equation, Donnell's theory and Hamilton's principle, the four coupled nonlinear differential equations containing displacement and electric potential terms are derived. Harmonic differential quadrature method (HDQM) is applied to obtain the critical dynamic buckling load. A detailed parametric study is conducted to elucidate the influences of the geometrical aspect ratio, in-fill ratio of core, viscoelastic medium coefficients, material types of the shell and temperature gradient on the dynamic buckling load of the PNC cylindrical shell. Results indicate that the dimensionless critical dynamic buckling load increases when piezoelectric effect is considered.
http://jsm.iau-arak.ac.ir/article_514601_041e0a5926817d1206fc31e834732f3b.pdf
2014-09-30T11:23:20
2019-10-22T11:23:20
265
277
BNNTs
Nanocomposite
Cylindrical shell conveying viscous fluid
Nonlinear dynamic buckling response
HDQM
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
true
1
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan
LEAD_AUTHOR
A.A
Mosallaie Barzoki
true
2
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
AUTHOR
R
Kolahchi
true
3
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
AUTHOR
[1] Kim S.E., Kim Ch.S., 2002, Buckling strength of the cylindrical shell and tank subjected to axially compressive loads, Thin-Walled Structures 40:329-353.
1
[2] Ghorbanpour Arani A., Golabi S., Loghman A., Daneshi H., 2007, Investigating elastic stability of cylindrical shell with an elastic core under axial compression by energy method, Journal of Mechanical Science and Technology 21:693-698.
2
[3] Ghorbanpour Arani A., Loghman A., Mosallaie Barzoki A.A., Kolahchi R., 2011, Elastic buckling analysis of ring and stringer-stiffened cylindrical shells under general pressure and axial compression via the Ritz method, Journal of Solid Mechanics 1:332-347.
3
[4] Das P.K., Thavalingam A., Bai Y., 2003, Buckling and ultimate strength criteria of stiffened shells under combined loading for reliability analysis, Thin-Walled Structures 41:69-88.
4
[5] Hubner A., Albiez M., Kohler D., Saal H., 2007, Buckling of long steel cylindrical shells subjected to external pressure, Thin-Walled Structures 45:1-7.
5
[6] Patel S.N., Datta P.K., Sheikh A.H. 2006, Buckling and dynamic instability analysis of stiffened shell panels, Thin-Walled Structures 44:321-333.
6
[7] Huang H., Han Q., 2010, Nonlinear dynamic buckling of functionally graded cylindrical shells subjected to time-dependent axial load, Composite Structures 92:593-598.
7
[8] Bisagni C.H., 2005, Dynamic buckling of fiber composite shells under impulsive axial compression, Thin-Walled Structures 43:499-514.
8
[9] Shariyat M., 2010, Non-linear dynamic thermo-mechanical buckling analysis of the imperfect sandwich plates based on a generalized three-dimensional high-order global–local plate theory, Composite Structures 92:72-85.
9
[10] Wan H., Delale F., Shen L., 2005, Effect of CNT length and CNT-matrix interphase in carbon nanotube (CNT) reinforced composites, Mechanics Research Communication 32:481-489.
10
[11] Li K., Saigal S., 2007, Micromechanical modeling of stress transfer in carbon nanotube reinforced polymer composites, Materials Science Engineering A 457:44-57.
11
[12] Han S.C.H., Tabiei A., Park W.T., 2008, Geometrically nonlinear analysis of laminated composite thin shells using a modified first-order shear deformable element-based Lagrangian shell element, Composite Structures 82:465-474.
12
[13] Wang X., 2007, Nonlinear stability analysis of thin doubly curved orthotropic shallow shells by the differential quadrature method, Computer Methods in Applied Mechanics and Engineering 196:2242-2251.
13
[14] Haftchenari H., Darvizeh M., Darvizeh A., Ansari R., Sharma C.B., 2007, Dynamic analysis of composite cylindrical shells using differential quadrature method (DQM), Composite Structures 78:292-298.
14
[15] Alibeigloo A., 2009, Static and vibration analysis of axi-symmetric angle-ply laminated cylindrical shell using state space differential quadrature method, International Journal of Pressure and Vessel and Piping 86:738-747.
15
[16] Mosallaie Barzoki A.A., Ghorbanpour Arani A., Kolahchi R., Mozdianfard M.R., 2012, Electro-thermo-mechanical torsional buckling of a piezoelectric polymeric cylindrical shell reinforced by DWBNNTs with an elastic core, Applied Mathematical Modelling 36:2983-2995.
16
[17] Mosallaie Barzoki A.A., Ghorbanpour Arani A., Kolahchi R., Mozdianfard M.R., Loghman A., 2013, Nonlinear buckling response of embedded piezoelectric cylindrical shell reinforced with BNNT under electro–thermo-mechanical loadings using HDQM, Composite Part B: Engineering 44:722-727.
17
[18] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., 2011, Effect of material inhomogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating cylinder, Applied Mathematical Modelling 35:2771-2789.
18
[19] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., Loghman A., 2012, Electro-thermo-mechanical behaviors of FGPM spheres using analytical method and ANSYS software, Applied Mathematical Modelling 36:139-157.
19
[20] Ghorbanpour Arani A., Mosallaie Barzoki A.A, Kolahchi R., Mozdianfard M.R., Loghman A., 2011, Semi-analytical solution of time-dependent electro-thermo-mechanical creep for radially polarized piezoelectric cylinder, Computers and Structures 89: 1494-1502.
20
[21] Amabili M. 2008, Nonlinear Vibrations and Stability of Shells and Plates, Cambridge University Press, New York.
21
[22] Liew K.M., Han J.B., Xiao Z.M., 1996, Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility, International Journal of Solids and Structures 33:2647-2658.
22
[23] Civalek Ö., 2004, Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns, Engineering Structures 26:171-186.
23
[24] Abdollahian M., Ghorbanpour Arani A., Mosallaie Barzoki A.A., Kolahchi R., Loghman A., 2013, Non-local wave propagation in embedded armchair TWBNNTs conveying viscous fluid using DQM, Physica B 418:1-15.
24
ORIGINAL_ARTICLE
Energy-Based Prediction of Low-Cycle Fatigue Life of CK45 Steel and SS316 Stainless Steel
In this paper, low cycle fatigue life of CK45 steel and SS316 stainless steel under strain-controlled loading are experimentally investigated. In addition, the impact of mean strain and strain amplitude on the fatigue life and cyclic behavior of the materials are studied. Furthermore, it is attempted to predict fatigue life using energy and SWT damage parameters. The experimental results demonstrate that increase in strain amplitude decreases fatigue life for both materials, strain amplitude has a remarkable effect on fatigue life, and the impact of mean strain is approximately negligible. Furthermore, the energy damage parameter provides more accurate prediction of fatigue life for both materials.
http://jsm.iau-arak.ac.ir/article_514602_a7e95c65d968b8b16420848443cc4a6e.pdf
2014-09-30T11:23:20
2019-10-22T11:23:20
278
288
low cycle fatigue
Damage parameter
CK45 Steel
SS316 stainless steel
Cyclic behavior
M
Shariati
mshariati44@um.ac.ir
true
1
Department of Mechanical Engineering, Ferdowsi University of Mashhad
Department of Mechanical Engineering, Ferdowsi University of Mashhad
Department of Mechanical Engineering, Ferdowsi University of Mashhad
LEAD_AUTHOR
H
Mehrabi
true
2
Department of Mechanical Engineering, Shahrood University of Technology
Department of Mechanical Engineering, Shahrood University of Technology
Department of Mechanical Engineering, Shahrood University of Technology
AUTHOR
[1] Yang X., 2005, Low cycle fatigue and cyclic stress ratcheting failure behavior of carbon steel 45 under uniaxial cyclic loading, International Journal of Fatigue 27: 1124-1132.
1
[2] Date S., Ishikawa H., Otani T., Takahashi Y., 2008, Effect of ratcheting deformation on fatigue and creep-fatigue life of 316FR stainless steel, Nuclear Engineering and Design 328: 336-346.
2
[3] You B-R., Lee S-B., 1996, A critical review on multiaxial fatigue assessments of materials, International Journal of Fatigue 18(4): 253-344.
3
[4] Jahed H., Farahani A.V., Noban M., Khalaji I., 2007, An energy based fatigue life assessment model for various metallic materials under proportional and non-proportional loading conditions, International Journal of Fatigue 29: 647-655.
4
[5] Smith R.N., Watson P., Topper T.H., 1970, A stress-strain function for the fatigue of metal, Journal of Material, JMLSA 5(4): 767-778.
5
[6] Lorenzo F., Laird C., 1984, A new approach to predicting fatigue life behavior under the action of mean stresses, Material Science and Engineering 62(2): 205-210.
6
[7] Koh S.K., Stephens R.I., 1991, Mean stress effects on low cycle fatigue for a high strength steel, Fatigue & Fracture of Engineering Materials & Structures 14(4): 413-428.
7
[8] Halford G.J., 1966, The energy required for fatigue, Journal of Materials 1(1): 3-18.
8
[9] Kujawski D., Ellyin F., 1995, A unified approach to mean stress effect on fatigue threshold conditions, International Journal of Fatigue 12(2): 101-106.
9
[10] Golos K., Ellyin F.A., 1988, A total strain energy density theory for cumulative fatigue damage, Journal of Pressure Vessel Technology 110(1): 36-41.
10
[11] Sugiura K., Chang K.C., 1991, Evaluation of low-cycle fatigue strength of structural metal, Journal of Engineering Mechanics (ASCE) 117(10): 2373-2383.
11
[12] Dutta A., Dhar S., Acharyya S.K., 2010, Characterization of SS316 in low-cycle fatigue loading, Journal of Materials Science 45(7): 1782-1789.
12
[13] Callaghan M.D., Humphries S.R., Law M., Ho M., Bendeich P., Li H., Yeung W.Y., 2010, Energy-based approach for the evaluation of low cycle fatigue behavior of 2.25cr-1 Mo steel at elevated temperature, Materials Science & Engineering 527 (21-22): 5619-23.
13
[14] Lv F., Yang F., Li S.X., Zhang Z.F., 2011, Effect of hysteresis energy and mean stress on low-cycle fatigue behaviors of and extruded magnesium alloy, Scripta Materialia 65(1): 53-56.
14
[15] Abdalla J.A., Hawileh R.A., Oudah, F., Abdelrahman K., 2009, Energy-based prediction of low-cycle fatigue life of BS 460B and BS B500B steel bars, Material & Design 30: 4405-4413.
15
[16] Gloanec A.I., Milani T., Henaff G., 2010, Impact of microstructure, temperature and strain ratio on energy-based low-cycle fatigue life prediction models for TiAl alloys, International Journal of Fatigue 32(7): 1015-1021.
16
[17] Yunrong L.U., Chongxiang H.U., Li G., Qingyuan W., 2012, Energy-based prediction of low-cycle fatigue life of high-strength structural steel, International Journal of Iron and Steel Research 19(10): 47-53.
17
[18] Basquin O.H., 1910, The exponential law of endurance tests, American Society for Testing Materials 10: 625-630.
18
[19] Coffin L.F., 1954, A study of the effects of cyclic thermal stresses on a ductile metal, Transactions of the ASME 76: 931-950.
19
[20] Manson S.S., 1953, Behavior of materials under condition of thermal stress, Heat Transfer Symposium, University of Michigan Engineering Research Institute, MI, USA.
20
[21] Tchankov D.S, Vesselinov K.V., 1998, Fatigue life prediction under random loading using total hysteresis energy, International Journal of Pressure Vessels and Piping 75: 955-960.
21
[22] Lagoda T., 2001, Energy models for fatigue life estimation under uniaxial random loading part I: the model elaboration, International Journal of Fatigue 23: 467-480.
22
ORIGINAL_ARTICLE
Vibration Analysis of a Nonlinear Beam Under Axial Force by Homotopy Analysis Method
In this paper, Homotopy Analysis Method is used to analyze free non-linear vibrations of a beam simply supported by pinned ends under axial force. Mid-plane stretching is also considered for dynamic equation extracted for the beam. Galerkin decomposition technique is used to transform a partial dimensionless nonlinear differential equation of dynamic motion into an ordinary nonlinear differential equation. Then Homotopy Analysis Method is employed to obtain an analytic expression for nonlinear natural frequencies. Effects of design parameters including axial force and slenderness ratio on nonlinear natural frequencies are studied. Moreover, effects of factors of nonlinear terms on the general shape of the time response are taken into account. Combined Homotopy-Pade technique is used to reduce the number of approximation orders without affecting final accuracy. The results indicate increased speed of convergence as Homotopy and Pade are combined. The obtained analytic expressions can be used for a vast range of data. Comparison of the results with numerical data indicated a good conformance. Having compared accuracy of this method with that of the Homotopy perturbation analytic method, it is concluded that Homotopy Analysis Method is a very strong method for analytic and vibration analysis of structures.
http://jsm.iau-arak.ac.ir/article_514603_0b18f85c0ca418c61f1c59ba14b428dd.pdf
2014-09-30T11:23:20
2019-10-22T11:23:20
289
298
Nonlinear vibration
Homotopy Analysis Method
Beam axial force
Stretching effect
A.A
Motallebi
true
1
Department of Mechanical Engineering, Imam Hossein University
Department of Mechanical Engineering, Imam Hossein University
Department of Mechanical Engineering, Imam Hossein University
LEAD_AUTHOR
M
Poorjamshidian
true
2
Department of Mechanical Engineering, Imam Hossein University
Department of Mechanical Engineering, Imam Hossein University
Department of Mechanical Engineering, Imam Hossein University
AUTHOR
J
Sheikhi
true
3
Civil Engineering, Imam Hossein University
Civil Engineering, Imam Hossein University
Civil Engineering, Imam Hossein University
AUTHOR
[1] Ahmadian M.T., Mojahedi M., 2009, Free vibration analysis of a nonlinear beam using homotopy and modified lindstedt-poincare methods, Journal of Solid Mechanics 2(1): 29-36.
1
[2] Nayfeh A.H., Mook D.T., 1979, Nonlinear Oscillations, New York, Wiley, First Edition.
2
[3] Shames I.H., Dym C.L., 1985, Energy and Finite Element Methods in Structural Mechanics, New York, McGraw-Hill, First Edition.
3
[4] Malatkar P., 2003, Nonlinear Vibrations of Cantilever Beams and Plates, Virginia, Virginia Polytechnic Institute , PhD thesis.
4
[5] Pillai S.R.R., Rao B.N., 1992, On nonlinear free vibrations of simply supported uniform beams, Sound and Vibration 159(3): 527-531.
5
[6] Foda M.A., 1999, Influence of shear deformation and rotary inertia on nonlinear free vibration of a beam with pinned Ends, Computers and Structures 71(1): 663-670.
6
[7] Ramezani A., Alasty A., Akbari J., 2006, Effects of rotary inertia and shear deformation on nonlinear free vibration of microbeams, ASME Journal of Vibration and Acoustics 128(5): 611-615.
7
[8] Liao S.J., 1995, An approximate solution technique which does not depend upon small parameters: a special example, International Journal of Nonlinear Mechanics 30(1): 371-380.
8
[9] Sedighi.H.M., Shirazi.K.H., 2012, An analytic solution of transversal oscillation of quintic non-linear beam with homotopy analysis method, Non-Linear Mechanics 47: 777-784.
9
[10] Hoseinia S.H., Pirbodaghi T., 2008, Nonlinear free vibration of conservative oscillators with inertia and static type cubic nonlinearities using homotopy analysis method, Sound and Vibration 316: 263-273.
10
[11] Samir A., Emam A., 2002, Theoretical and Experimental Study of Nonlinear Dynamics of Buckled Beams, Virginia, Virginia Polytechnic Institute, PhD thesis.
11
[12] Liao S.J., 1992, On the Proposed Homotopy Analysis Techniques for Nonlinear Problems and its Application , Shanghai, Jiao Tong University, PhD thesis.
12
[13] He J.H., 2000, A coupling method of a homotopy technique and a perturbation technique for non-linear problems, International Journal of Non-Linear Mechanics 35: 37-43.
13
[14] Saff E.B., Varga R.S., 1977, Pade´ and Rational Approximation, Academic Press, New York.
14
[15] Wuytack L., 1979, Pade´ Approximation and its Applications, Lecture Notes in Mathematics, Springer, Berlin.
15
[16] Liao S.J., Cheung K.F., 2003, Homotopy analysis of nonlinear progressive waves in deep water, Journal of Engineering Mathematics 45(1): 105-116.
16
ORIGINAL_ARTICLE
Analysis of Mode III Fraction in Functionally Graded Plate with Linearly Varying Properties
A model is provided for crack problem in a functionally graded semi-infinite plate under an anti-plane load. The characteristic of material behavior is assumed to change in a linear manner along the plate length. Also the embedded crack is placed in the direction of the material change. The problem is solved using two separate techniques. Primary, by applying Laplace and Fourier transformation, the governing equation for the crack problem is converted to the solution of a singular integral equation system. Then, finite element technique is employed to analyze this problem by considering quadrilateral eight nodded singular element near the crack tips. The effects of material non-homogeneity and crack length on the stress intensity factor are studied and the results of two methods are judged against each other.
http://jsm.iau-arak.ac.ir/article_514604_4dada780855f04b5d4d634ebd0b16202.pdf
2014-09-30T11:23:20
2019-10-22T11:23:20
299
309
Functionally graded material
Stress Intensity Factor
Linear material properties
M.R
Torshizian
torshizian@mshdiau.ac.ir
true
1
Mechanical Engineering Department, Mashhad Branch, Islamic Azad University
Mechanical Engineering Department, Mashhad Branch, Islamic Azad University
Mechanical Engineering Department, Mashhad Branch, Islamic Azad University
LEAD_AUTHOR
[1] Erdogan F., Kaya A.C., Joseph P.F., 1991, The crack problem in bonded nonhomogeneous materials, Journal of Applied Mechanics 58: 410-418.
1
[2] Erdogan F., Ozturk M., 1992, Diffusion problems in bonded nonhomogenous materials with an interface cut, International Journal of Solids and Structures 30: 1507-1523.
2
[3] Wang B., Mai Y., 2003, Anti-plane fracture of a functionally graded material strip, European Journal of Mechanics - A/Solids 22: 357-368.
3
[4] Chue C., Ou Y.L., 2005, Mode III crack problems for two bonded functionally graded piezoelectric materials, International Journal of Solids and Structures 42: 3321-3237.
4
[5] Hu K.Q., Zhong Z., Jin B., 2005, Anti-plane shear crack in a functionally gradient piezoelectric layer bonded to dissimilar half spaces, International Journal of Mechanical Sciences 47: 82-93.
5
[6] Ou Y., Chue C., 2006, Mode III eccentric crack in a functionally graded piezoelectric strip, International Journal of Solids and Structures 43: 6148-6164.
6
[7] Ma L., Li J., Abdelmoula R., Wu L.Z., 2007, Mode III crack problem in a functionally graded magneto-electro-elastic strip, International Journal of Solids and Structures 44: 5518-5537.
7
[8] Ma L., Wu L.Z., 2007, Mode III crack problem in a functionally graded coating-homogeneous substrate structure, Mechanical Engineering Science 222: 329-337.
8
[9] Yong H.D., Zhou Y.H., 2007, A mode 3 crack in a functionally graded piezoelectric strip bonded to two dissimilar piezoelectric half-planes, Composite Structures 79:404-410.
9
[10] Li Y.D., Lee K.Y., 2007, An anti-plane crack perpendicular to the weak micro discontinuous interface in a bi-FGM structure with exponential and linear non-homogeneities, International Journal of Fracture 146: 203-211.
10
[11] Li Y.D., Tan W., Lee K.Y., 2008, Stress intensity factor of an anti-plane crack parallel to the weak micro discontinuous interface in a bi-FGM composite, Acta Mechanica Solida Sinica 21: 34-43.
11
[12] Hsu W.H., Chue C.H., 2009, Mode III fracture problem of an arbitrarily oriented crack in an FGPM strip bonded to a homogeneous piezoelectric half-plane, Meccanica 44: 519-534.
12
[13] Torshizian M.R., Kargarnovin M.H., 2010, Anti-plane shear of an arbitrarily oriented crack in a functionally graded strip bonded with two dissimilar half-plane, Theoretical and Applied Fracture Mechanics 54: 180-188.
13
[14] Torshizian M.R., Kargarnovin M.H., Nasirai C., 2011, Mode III fracture of an arbitrarily oriented crack in two dimensional functionally graded material, Mechanics Research Communications 38: 164-169.
14
[15] Kargarnovin M.H., Nasirai C., Torshizian M.R., 2011, Anti-plane stress intensity, energy release and energy density at crack tips in a functionally graded strip with linearly varying properties, Theoretical and Applied Fracture Mechanics 56: 42-48.
15
[16] Polyanin A.D., 2002, Handbook of Linear Partial Differential Equations for Engineers and Scientists, Chapman and Hall/CRC.
16
[17] Jefrey A., Dai H.H, 2008, Handbook of Mathematical Formulas and Integrals, Elsevier Academic Press.
17
[18] Chan Y.S., Fannjiang A.C., Paulino G.H., 2003, Integral equation with hypersingular kernels theory and applications to fracture mechanics, International Journal of Engineering Science 41: 683-720.
18
[19] Kronrod A.S., 1965, Nodes and Weights of Quadrature Formulas, Consultants Bureau, New York.
19
ORIGINAL_ARTICLE
Implementing the New First and Second Differentiation of a General Yield Surface in Explicit and Implicit Rate-Independent Plasticity
In the current research with novel first and second differentiations of a yield function, Euler forward along with Euler backward with its consistent elastic-plastic modulus are newly implemented in finite element program in rate-independent plasticity. An elastic-plastic internally pressurized thick walled cylinder is analyzed with four famous criteria including both pressure dependent and independent. The obtained results are in good agreement with experimental results. The consistent/continuum elastic-plastic moduli for Euler backward method are also investigated.
http://jsm.iau-arak.ac.ir/article_514605_2bbbb3fae98631fb7466354876bf9cac.pdf
2014-09-30T11:23:20
2019-10-22T11:23:20
310
321
Rate-independent Euler backward/forward methods
Consistent elastic-plastic modulus
Internally pressurized thick walled cylinder
F
Moayyedian
true
1
Mechanical Engineering Department, Ferdowsi University of Mashhad
Mechanical Engineering Department, Ferdowsi University of Mashhad
Mechanical Engineering Department, Ferdowsi University of Mashhad
AUTHOR
M
Kadkhodayan
kadkhoda@um.ac.ir
true
2
Mechanical Engineering Department, Ferdowsi University of Mashhad
Mechanical Engineering Department, Ferdowsi University of Mashhad
Mechanical Engineering Department, Ferdowsi University of Mashhad
LEAD_AUTHOR
[1] Krieg R.D., Krieg D.B., 1977, Accuracies of numerical solution methods for the elastic-perfectly plastic model, Journal of Pressure Vessel Technology -Transactions of the ASME 99:510-515.
1
[2] Schreyer H.L., Kulak R.F., Kramer J.M., 1979, Accurate numerical solutions for elastic-plastic models, Transactions of the ASME 101: 226-234.
2
[3] Simo J.C., Taylor R.L., 1985, Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering 48:101-118.
3
[4] Ortiz M., Popov E.P., 1985, Accuracy and stability of integration algorithms for elastoplastic constitutive relations, International Journal for Numerical Methods in Engineering 21:1561-1576.
4
[5] Potts D.M., Gens A., 1985, A critical assessment of methods of correcting for draft from the yield surface in elasto-plastic finite element analysis, International Journal for Numerical and Analytical Methods in Geomechanics 9:149-159.
5
[6] Ortiz M., Simo J.C., 1986, An analysis of a new class of integration algorithms for elastoplastic constitutive relations, International Journal for Numerical Methods in Engineering 23:353-366.
6
[7] Simo J.C., Taylor R.L., 1986, A return mapping algorithm for plane stress elastoplasticity, International Journal for Numerical Methods in Engineering 38:649-670.
7
[8] Dodds R.H., 1987, Numerical techniques for plasticity computations in finite element analysis, Computers & Structures 26:767-779.
8
[9] Ortiz M., Martin J.B., 1989, Symmetry-preserving return mapping algorithms and incrementally external paths: A unification of concepts, International Journal for Numerical Methods in Engineering 28:1839-1853.
9
[10] Gratacos P., Montmitonnet P., Chenot J.L., 1992, An integration scheme for Prandtl-Reuss elastoplastic constitutive equations, International Journal for Numerical Methods in Engineering 33:943-961.
10
[11] Ristinmma M., Tryding J., 1993, Exact integration of constitutive equations in elasto-plasticity, International Journal for Numerical Methods in Engineering 36:2525-2544.
11
[12] Kadkhodayan M., Zhang L.C., 1995, A consistent DXDR method for elastic-plastic problems, International Journal for Numerical Methods in Engineering 38:2413-2431.
12
[13] Foster C.D., Regueiro R.A., Fossum A.F., Borja R.I., 2005, Implicit numerical integration of a three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials, Computer Methods in Applied Mechanics and Engineering 194:5109-5138.
13
[14] Kim J., Gao X., 2005, A generalised approach to formulate the consistent tangent stiffness in plasticity with application to the GLD porous material model, International Journal of Solid and Structures 42:103-122.
14
[15] Hu W., Wang Z.R., 2005, Multiple-factor dependence of the yielding behaviour to isotropic ductile material, Computational Materials Science 32:31-46.
15
[16] Ding K.Z., Qin Q.H., Cardew-Hall M., 2007, Substepping algorithms with stress correction for simulating of sheet metal forming process, International Journal of Mechanical Sciences 49:1289-1308.
16
[17] Nicot F., Darve F., 2007, Basic features of plastic strains: from micro-mechanics to incrementally nonlinear models, International Journal of Plasticity 23:1555-1588.
17
[18] Oliver J., Huespe A.E., Cante J.C., 2008, An implicit/explicit integration scheme to increase computability of non-linear material and contact/friction problems, Computer Methods in Applied Mechanics and Engineering 197:1865-1889.
18
[19] Ragione L.L., Prantil V.C., Sharma I., 2008, A simplified model for inelastic behaviour of an idealized granular material, International Journal of Plasticity 24:168-189.
19
[20] Kosa A., Szabo L., 2009, Exact integration of the von mises elastoplasticity model with combined linear isotropic/kinematic hardening, International Journal of Plasticity 25:1083-1106.
20
[21] Tu X., Andrade J.E., Chen Q., 2009, Return mapping for nonsmooth and multiscale elastoplasticity, Computer Methods in Applied Mechanics and Engineering 198:2286-2296.
21
[22] Valoroso N., Rosti L., 2009, Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity, International Journal of Solid and Structures 46:74-91.
22
[23] Gao X., Zhang T., Hayden M., Roe C., 2009, Effects of the stress state on plasticity and ductile failure of an aluminium 5083 alloy, International Journal of Plasticity 25:2366-2382.
23
[24] Cardoso R.P.R., Yoon J.W., 2009, Stress integration method for a nonlinear kinematic/isotropic hardening model and its characterization based on polycrystal plasticity, International Journal of Plasticity 25: 1684-1710.
24
[25] Ghaie A., Green D.E., 2010, Numerical implementation of Yoshida-Uemori two-surface plasticity model using a fully implicit integration scheme, Computational Material Sciences 48:195-205.
25
[26] Ghaei A., Green D.E., Taherizadeh A., 2010, Semi-implicit numerical integration of Yoshida-Uemori two-surface plasticity model, International Journal of Mechanical Sciences 52:531-540.
26
[27] Kossa A., Szabo L., 2010, Numerical implementation of a novel accurate stress integration scheme for the von Mises elastoplasticity model with combined linear hardening, Finite Element in Analysis and Design 46:391-400.
27
[28] Rezaiee-Pajand M., Sharifan M., 2011, Accurate and approximate integrations of Drucker-Prager plasticity with linear isotropic and kinematic hardening, European Journal of Mechanics A/Solids 30:345-361.
28
[29] Becker R., 2011, An alternative approach to integrating plasticity relations, International Journal of Plasticity 27:1224-1238.
29
[30] Moayyedian F., Kadkhodayan M., 2013, A general solution in Rate-Dependant plasticity, International Journal of Engineering 26:391-400.
30
[31] Moayyedian F., Kadkhodayan M., 2014, A study on combination of von mises and tresca yield loci in non-associated viscoplasticity, International Journal of Engineering 27:537-545.
31
[32] Owen D.R.J., Hinton E., 1980, Finite Elements in Plasticity: Theory and Practice, Pineridge Press Limited.
32
[33] Souza Neto E.D., Peric D., Owen D.R.J., 2008, Computational Methods for Plasticity, Theory and Applications, John Wiley and Sons, Ltd.
33
[34] Simo J.C., Hughes T.J.R., 1998, Computational Inelasticity, Springer-Verlag New York, Inc.
34
[35] Zienkiewicz O.C., Taylor R.L., 2005, The Finite Element Method for Solid and Structural Mechanics, Elsevior Butterworth-Heinemann, sixth edition.
35
[36] Crisfield M.A., 1997, Non-Linear Finite Element Analysis of Solids and Structures, New York , John Wiley.
36
[37] Hill R., 1950, The Mathematical Theory of Plasticity, Oxford University Press, New York.
37
[38] Chakrabarty J., 1987, Theory of Plasticity, McGraw-Hill, New York.
38
[39] Chen W.F., Zhang H., 1936, Structural Plasticity Theory, Problems and CAE Software, Springer-Verlag, New York.
39
[40] Khan A., Hung S., 1995, Continuum Theory of Plasticity, John Wiley & Sons, Canada.
40
[41] Marcal P.V., 1965, A note on the elastic-plastic thick cylinder with internal pressure in the open and closed-end condition, International Journal of Mechanical Sciences 7:841-845.
41
ORIGINAL_ARTICLE
New Method of Determination for Pressure and Shear Frictions in the Ring Rolling Process as Analytical Function
Ring rolling is one of the most significant methods for producing rings with highly precise dimensions and superior qualities such as high strength uniformity, all accomplished without wasting any materials. In this article, we have achieved analytical formulas for calculating the pressure and shear friction over the contact arcs between the rollers and ring in the ring rolling process for the material in general nonlinear hardening property. We have also asserted the best mathematical model to predict friction for rolling processes. The method we use is based on calculating the analytical stress distribution. In other words, by using of Saint-Venan principal the stress components are calculated as analytical functions. Once that is accomplished, the pressure and shear traction over the rollers are able to be analyzed. The crucial characteristics which set apart this study from other studies are the investigation of the effects of the speed with which rollers are fed, and resulting ring velocity. With normal and shear friction, those characteristics cannot be investigated by other methods such as the slab method, upper bound, etc. Also, results show the effects of material hardening properties, radius of rollers and thickness reduction under pressure, and shear friction distributions.
http://jsm.iau-arak.ac.ir/article_514606_affcb43e424f07620ec1975d9f4d1465.pdf
2014-09-30T11:23:20
2019-10-22T11:23:20
322
333
Ring rolling process
Analytical solution for pressure and shear tractions
Nonlinear material
Friction model
M.R
Zamani
mrzamani@alum.sharif.edu
true
1
Mechanical Engineering Department, Sharif University of Technology
Mechanical Engineering Department, Sharif University of Technology
Mechanical Engineering Department, Sharif University of Technology
LEAD_AUTHOR
[1] Zhang Xu., Wan Qi., Zhigang Li., 2011, Solver for finite element analysis of ring rolling process, Advanced Materials Research 338: 251-254.
1
[2] Johnson W., MacLeod I., Needham G., 1968, An experimental investigation into the process of ring or metal tyre rolling, International Journal of Mechanical Sciences 10: 455-476.
2
[3] Johnson W., Needham G., 1968, Experiments on ring rolling, International Journal of Mechanical Sciences 10: 95-113.
3
[4] Hawkyard J. B., Johnson W., Kirkland J., Appleton E., 1973, Analyses for roll force and torque in ring rolling, with some supporting experiments, International Journal of Mechanical Sciences 15: 873-893.
4
[5] Yang D. Y., Kim K. H., 1988, Rigid-plastic finite element analysis of plane strain ring rolling, International Journal of Mechanical Sciences 30: 571-580.
5
[6] Xu S.G., Lian J.C., Hawkyard J.B., 1991, Simulation of ring rolling using a rigid-plastic finite element model, International Journal of Mechanical Sciences 33: 393-401.
6
[7] Youngsoo Y., Youngsoo K., Naksoo K., Jongchan L., 2003, Prediction of spread, pressure distribution and roll force in ring rolling process using rigid-plastic finite element method, Journal of Materials Processing Technology 140: 478-486.
7
[8] Theocaris P. S., Stassinakis C. A., Mamalis A. G., 1983, Roll-Pressure distribution and coefficient of friction in hot rolling by caustics, International Journal of Mechanical Sciences 25: 833-844.
8
[9] Wang B., Hu W., Kong L.X., Hodgson P., 1998, The influence of roll speed on the rolling of metal plates, Metals and Materials 4: 915-919.
9
[10] Hill R., 1950, The Mathematical Theory of Plasticity, Published in the United States by Oxford University Press Inc. New York, First Published.
10
[11] Akhtar S.K., Surjian H., 1995, Continuum Theory of Plasticity, Wiley-Interscience Pulication, John Wiley and Sons, Inc.
11
[12] Barber JR., 1992, Elasticity, Kluwer, Dordrecht, The Netherlands, Second Edition.
12
[13] Salimi M., Kadkhodaei M., 2004, Slab analysis of asymmetrical sheet rolling, Journal of Materials Processing Technology 150: 215-222.
13
[14] Hossford W.F., Caddel R.M., 2011, Metal Forming Mechanics & Metallurgy, Cambridge University Press fourth Edition.
14
[15] Salimi M., Sassani F., 2002, Modified slab analysis of asymmetrical plate rolling, International Journal of Mechanics Science 44: 1999-2023.
15
[16] Ryoo J.S., Yang D.Y., 1986, The influence of process parameters on torque and load in ring rolling, Journal of Mechanical Working Technology 12: 307-321.
16
[17] Ryoo S., Yang D.Y., Johnson W., 1983, Ring rolling; the inclusion of pressure roll speed for estimating torque by using a velocity superposition method, Proceedings of 24th International MTDR Conference ,Manchester.
17
[18] Wang B., Hu W., Kong L.X., Hodgson P., 1998, The influence of roll speed on the rolling of metal plates, Metal and Materials 4(4): 915-919.
18
[19] Ginzburg B.V., Ballas R., 2002, Fundamentals of Flat Rolling Manufacturing Engineering and Materials Processing, Published by CRC Press.
19