Islamic Azad University Arak Branch
Journal of Solid Mechanics
2008-3505
2008-7683
2
3
2010
09
30
Wave Propagation in Mixture of Generalized Thermoelastic Solids Half-Space
199
213
EN
R
Kumar
Department of Mathematics, Kurukshetra University
rajneesh_kuk@rediffmail.com
S
Devi
Department of Mathematics, D.N. College
This paper concentrates on the reflection of plane waves in the mixture of generalized thermo elastic solid half-space. There exists quasi dilatational waves i.e. <em>qP</em><sub>1</sub>, <em>qP</em><sub>2</sub>, <em>qT</em> and two rotational waves <em>S</em><sub>1</sub>, <em>S</em><sub>2</sub> in a two dimensional model of the solid. The boundary conditions are solved to obtain a system of five non-homogeneous equations for amplitude ratios. These amplitude ratios are found to depend on the angle of incidence of incident wave, mixture and thermal parameters and have been computed numerically and presented graphically. The appreciable effects of mixtures and thermal on the amplitude ratios are obtained.
Dynamic theory of mixture,Amplitude ratios,Thermoelasticity,Wave propagation,Relaxation time,Reflection
http://jsm.iau-arak.ac.ir/article_514371.html
http://jsm.iau-arak.ac.ir/article_514371_f7a3a4944e0c44258d2294ae746170e2.pdf
Islamic Azad University Arak Branch
Journal of Solid Mechanics
2008-3505
2008-7683
2
3
2010
09
30
An Exact Solution for Lord-Shulman Generalized Coupled Thermoporoelasticity in Spherical Coordinates
214
230
EN
M
Jabbari
Postgraduate School, South Tehran Branch, Islamic Azad University
mjabbari@oiecgroup.com
H
Dehbani
Sama Technical and Vocational Training School, Islamic Azad University, Varamin Branch
In this paper, the generalized coupled thermoporoelasticity model of hollow and solid spheres under radial symmetric loading condition (<em>r</em>, <em>t</em>) is considered. A full analytical method is used and an exact unique solution of the generalized coupled equations is presented. The thermal, mechanical and pressure boundary conditions, the body force, the heat source and the injected volume rate per unit volume of a distribute water source are considered in the most general forms and where no limiting assumption is used. This generality allows simulate varieties of applicable problems. At the end, numerical results are presented and compared with classic theory of thermoporoelasticity.
Coupled Thermoporoelasticity,Lord-shulman,Hollow sphere,Exact solution
http://jsm.iau-arak.ac.ir/article_514372.html
http://jsm.iau-arak.ac.ir/article_514372_7548494846a3a01cd3366b998f35d6ae.pdf
Islamic Azad University Arak Branch
Journal of Solid Mechanics
2008-3505
2008-7683
2
3
2010
09
30
Finite Element Modeling of Crack Initiation Angle Under Mixed Mode (I/II) Fracture
231
247
EN
S.S
Bhadauria
Department of Applied Mechanics, Maulana Azad National Institute of Technology Bhopal
ssb.aero@gmail.com
K.K
Pathak
Advanced Materials Processes Research Institute (CSIR)
M.S
Hora
Department of Applied Mechanics, Maulana Azad National Institute of Technology Bhopal
Present study deals with the prediction of crack initiation angle for mixed mode (I/II) fracture using finite element techniques and <em>J</em>-Integral based approach. The FE code ANSYS is used to estimate the stress intensity factor numerically. The estimated values of SIF were incorporated into six different crack initiation angle criteria to predict the crack initiation angle. Single edge crack specimens of Araldite-Hardener were used for the present analysis. Load was applied up to critical limit of the specimens containing crack at different angles of inclination. The crack initiation angle obtained using stress intensity factor and <em>J</em>-integral based approach were found close to each other and also found to be in good agreement with the available experimental results in literature. It is also investigated that as crack inclination angle increases material was found to behave in a brittle manner.
Finite Element Method,Mixed mode fracture,Stress intensity factor,J-integral,Crack initiation angle,Fracture criteria
http://jsm.iau-arak.ac.ir/article_514373.html
http://jsm.iau-arak.ac.ir/article_514373_bf9df15dd9414f4327175ef008a5dd1d.pdf
Islamic Azad University Arak Branch
Journal of Solid Mechanics
2008-3505
2008-7683
2
3
2010
09
30
Investigation of Vacancy Defects on the Young’s Modulus of Carbon Nanotube Reinforced Composites in Axial Direction via a Multiscale Modeling Approach
248
256
EN
M.R
Davoudabadi
Department of Mechanical Engineering, Semnan University
davoudabadi.m@gmail.com
S.D
Farahani
Department of Mechanical Engineering, University of Tehran
In this article, the influence of various vacancy defects on the Young’s modulus of carbon nanotube (CNT) - reinforcement polymer composite in the axial direction is investigated via a structural model in ANSYS software. Their high strength can be affected by the presence of defects in the nanotubes used as reinforcements in practical nanocomposites. Molecular structural mechanics (MSM)/finite element (FE) Multiscale modeling of carbon nanotube/polymer composites with linear elastic polymer matrix is used to study the effect of CNT vacancy defects on the mechanical properties. The nanotube is modeled at the atomistic scale using MSM, where as the interface we assumed to be bonded by Vander Waals interactions based on the Lennar-Jonze potential at the interface and polymer matrix. A nonlinear spring is used for modeling of interactions. It is studied for zigzag and armchair Nanotubes with various aspect ratios (Length/Diameter). Finally, results of the present structural model show good agreement between our model and the experimental work.
Polymer matrix,Carbon nanotubes,Nonlinear spring,Multiscale modeling,Defect,Inter-phase,Finite element model
http://jsm.iau-arak.ac.ir/article_514382.html
http://jsm.iau-arak.ac.ir/article_514382_cdf8eb06c9a882ddc935c6f2d8522f61.pdf
Islamic Azad University Arak Branch
Journal of Solid Mechanics
2008-3505
2008-7683
2
3
2010
09
30
Prediction of Crack Initiation Direction for Inclined Crack Under Biaxial Loading by Finite Element Method
257
266
EN
P.C
Gope
Department of Mechanical Engineering, College of Technology, G. B. Pant University of Agriculture and Technology
pcgope@rediffmail.com
S.P
Sharma
Mechanical Engineering Department, National Institute of Technology, Jamshedpur, Jharkhand
A.K
Srivastava
Deputy Manager (Design) Air Craft Upgrade Research and Design Centre, Hindustan Aeronautics Limited
This paper presents a simple method based on strain energy density criterion to study the crack initiation angle by finite element method under biaxial loading condition. The crack surface relative displacement method is used to eliminate the calculation of the stress intensity factors which are normally required. The analysis is performed using higher order four node quadrilateral element. The results by finite element method are compared with DET (determinant of stress tensor criterion) and strain energy density criteria. Finite element results are in well agreement with the experimental and analytical results.
Biaxial loading,mixed mode,Crack Initiation,Finite Element Method,Crack tip displacement
http://jsm.iau-arak.ac.ir/article_514383.html
http://jsm.iau-arak.ac.ir/article_514383_ef21a64defe321d89d36f2e7467189e7.pdf
Islamic Azad University Arak Branch
Journal of Solid Mechanics
2008-3505
2008-7683
2
3
2010
09
30
Free Vibration Analysis of Micropolar Thermoelastic Cylindrical Curved Plate in Circumferential Direction
267
274
EN
G
Partap
Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, Punjab
gp.recjal@gmail.com
R
Kumar
Department of Mathematics, Kurukshetra University
rajneesh_kuk@rediffmail.com
The free vibration analysis ofhomogeneous isotropic micropolar thermoelastic cylindrical curved plate in circumferential direction has been investigated in the context of generalized themoelasticity III, recently developed by Green and Naghdi. The model has been simplified using Helmholtz decomposition technique and the resulting equations have been solved using separation of variable method. Mathematical modeling of the problem to obtain dispersion curves for curved isotropic plate leads to coupled differential equations and solutions are obtained by using Bessel functions. The frequency equations connecting the frequency with circumferential wave number and other physical parameters are derived for stress free cylindrical plate. In order to illustrate theoretical development, numerical solutions are obtained and presented graphically for a magnesium crystal.
Micropolar,Phase velocity,Circumferential wave number,Thermoelasticity type III,Thermoelasticity without energy dissipation
http://jsm.iau-arak.ac.ir/article_514384.html
http://jsm.iau-arak.ac.ir/article_514384_1561a0a4220ae0862333fee63572297a.pdf
Islamic Azad University Arak Branch
Journal of Solid Mechanics
2008-3505
2008-7683
2
3
2010
09
30
Review of Damage Tolerant Analysis of Laminated Composites
275
289
EN
X.L
Fan
State Key Laboratory for Mechanical Structural Strength and Vibration, School of Aerospace, Xi’an Jiao Tong University
fanxueling@mail.xjtu.edu.cn
Q
Sun
School of Aeronautics, Northwestern Polytechnical University
M
Kikuchi
Faculty of Science and Engineering, Tokyo University of Science
With advanced composites increasing replacing traditional metallic materials, the material inhomogeneity and inherent anisotropy of such materials lead to not only new attributes for aerospace structures, but also introduce new technology to damage tolerant design and analysis. The deleterious effects of changes in material properties and initiation and growth of structural damage must be addressed. The anisotropic and brittle properties make this requirement a challenging to composite structural designers. Accurate, reliable and user-friendly computational methods, design and analysis methods are vital for more damage tolerant composite structures. Both durability and damage tolerant methodologies must address the possible changes in mechanical properties and the evolving damage accumulations that may occur during the vehicle’s service lifetime. Delamination is a major failure mode in laminated composites and has received much research attention. It may arise out of manufacturing defects, free edge effects, structural discontinuities, low and high velocity impact damage, and even bird strikes. Early pioneering work established that the reduction in strength following delamination damages placed severe limits on the design allowable for highly loaded components such as aircraft wing and fuselage structure. In the present article, we provide a state-of-art survey on damage tolerant design correlated failure behavior and analysis methodologies of laminated composites. Particular emphasis is placed on some advanced formulations and numerical approaches for efficient computational modeling and damage tolerant analysis of laminated composites.
Damage tolerant analysis,Delamination,Virtual crack closure-integral technique,Cohesive zone model,Progressive failure analysis
http://jsm.iau-arak.ac.ir/article_514385.html
http://jsm.iau-arak.ac.ir/article_514385_283ccb9380274632a0095bf0d23cfcec.pdf
Islamic Azad University Arak Branch
Journal of Solid Mechanics
2008-3505
2008-7683
2
3
2010
09
30
Static Analysis of Functionally Graded Annular Plate Resting on Elastic Foundation Subject to an Axisymmetric Transverse Load Based on the Three Dimensional Theory of Elasticity
290
304
EN
A
Behravan Rad
Department of Mechanical Engineering, Islamic Azad University, Karaj Branch
ahmadbehravan@yahoo.com
A
Alibeigloo
Department of Mechanical Engineering, Engineering Faculty, Tarbiat Modares University
S.S
Malihi
Department of Mechanical Engineering, Islamic Azad University, Karaj Branch
In this paper, static analysis of functionally graded annular plate resting on elastic foundation with various boundary conditions is carried out by using a semi-analytical approach (SSM-DQM). The differential governing equations are presented based on the three dimensional theory of elasticity. The plate is assumed isotropic at any point, while material properties to vary exponentially through the thickness direction and the Poisson’s ratio remain constant. The system of governing partial differential equations can be writhen as state equations by expanding the state variables and using the state space method (SSM) about thickness direction and applying the one dimensional differential quadrature method (DQM) along the radial direction. Interactions between the plate and two parameter elastic foundations are treated as boundary conditions. The stresses and displacements distributions are obtained by solving these state equations. In this study, the influences of the material property graded index, the elastic foundation coefficients (Winkler-Pasternak), the thickness to radius ratio, and edge supports effect on the bending behavior of the FGM annular plate are investigated and discussed in details.
FGM annular Plate,Elastic foundation,Semi-Analytical Method,differential quadrature,state space
http://jsm.iau-arak.ac.ir/article_514386.html
http://jsm.iau-arak.ac.ir/article_514386_a534f52a3e74aaac7b5b248e94d13296.pdf