2021-09-28T17:11:15Z
http://jsm.iau-arak.ac.ir/?_action=export&rf=summon&issue=111270
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Torsion of Poroelastic Shaft with Hollow Elliptical Section
M
Jabbari
M.F
Khansanami
In this paper torsion of hollow Poroelastic shaft with Elliptical section is developed. Using the boundary equation scheme. It looks for a stress function where satisfied Poisson equation and vanishes on boundary. It also analyzed stress function and warping displacement for the hollow elliptical section in Poroelastic shaft. At the end, the result of elastic and poroelastic shaft in warping displacement and stress function is compared.
Torsion
Stress function
Warping
Poroelastic
Inhomogeneous
2016
03
30
1
11
http://jsm.iau-arak.ac.ir/article_520686_943874108dbda5d45f258afe678dddf6.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Free Vibration of Sandwich Panels with Smart Magneto-Rheological Layers and Flexible Cores
G
Payganeh
K
Malekzadeh
H
Malek-Mohammadi
This is the first study on the free vibrational behavior of sandwich panels with flexible core in the presence of smart sheets of oil which is capable of the excitation of magnetic field. In order to model the core, the improved high order theory of sandwich sheets was used by a polynomial with unknown coefficients first degree shear theory was used for the sheets. The derived equations based on Hamilton principle with simple support boundary condition for upper and lower sheets were solved using Navier technique. Accuracy and precision of the theory were investigated by comparing the results of this study with those of analytical and numerical works. In the conclusion section, effect of the intensity of magnetic field and other physical parameters including ratio of sheet's length to width, ratio of sheet's length to thickness, ratio of core thickness to sheet's overall thickness, and ratio of oil layer thickness to sheet's overall thickness on natural frequency was investigated.
Sandwich plates
Flexible cores
Free vibration
Improved high order theory
2016
03
30
12
30
http://jsm.iau-arak.ac.ir/article_520687_8c297754ec33c2a5335e94c67e838184.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Closed Form Solution for Electro-Magneto-Thermo-Elastic Behaviour of Double-Layered Composite Cylinder
A
Loghman
H
Parsa
Electro-magneto-thermo-elastic response of a thick double-layered cylinder made from a homogeneous interlayer and a functionally graded piezoelectric material (FGPM) outer layer is investigated. Material properties of the FGPM layer vary along radius based on the power law distribution. The vessel is subjected to an internal pressure, an induced electric potential, a uniform magnetic field and a temperature gradient. Stresses and radial displacement are studied for different material in-homogeneity parameters in the FGPM layer. It has been shown that the material in-homogeneity parameters significantly affect the stress distribution in both layers. Therefore by selecting a suitable material parameter one can control stress distribution in both homogeneous and FGPM layers. It has been found that under electro-magneto-thermo-mechanical loading minimum effective stress can be achieved by selecting in the FGPM layer.
Closed form solution
Electromagnetothermoelastic
Double-walled cylinder
Homogeneous interlayer
FGPM outer layer
2016
03
30
31
44
http://jsm.iau-arak.ac.ir/article_520688_bf9c70220e1756cbd8e91a3ab6fd11ad.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Dynamic Stability of Laminated Composite Plates with an External Smart Damper
M
Hoseinzadeh
J
Rezaeepazhand
The dynamic stability of a composite plate with external electrorheological (ER) damper subjected to an axial periodic load is investigated. Electrorheological fluids are a class of smart materials, which exhibit reversible changes in mechanical properties when subjected to an electric field. As a result, the dynamic behavior of the structure is changed. The ER damper is used for suppressing the vibrations and improving the stability of the system. The Bingham plastic model is employed to express the behavior of the ER fluid. The finite element model of the structure is developed and constant acceleration average method is used to obtain the response of the system. Effect of different parameters such as the electric field, the orientation of the ER damper, the initial gap between the two electrodes of the ER damper and the stacking sequences of the plate on the first instability boundaries of the composite plate are investigated.
Laminated composite
Dynamic buckling
FEA
Smart structures
2016
03
30
45
57
http://jsm.iau-arak.ac.ir/article_520689_a47e9dd1896a9a4d7289a46ea7dcdf49.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Reflection and Transmission at the Boundary of Two Couple Stress Generalized Thermoelastic Solids
R
Kumar
K
Kumar
R.C
Nautiyal
In this paper the reflection and transmission at a plane interface between two different couple stress generalized thermoelastic solid half spaces in context of Loard-Shulman(LS)[1967] and Green-Lindsay(GL)[1972] theories in welded contact has been investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and coupled transverse waves. It is found that the amplitude ratios of various reflected and transmitted waves are functions of angle of incidence, frequency and are affected by the couple stress properties of the media. Some special cases are deduced from the present formulation.
Couple stress thermoelastic solid
Longitudinal wave
Transverse wave
Reflection
Transmission
Amplitude ratios
2016
03
30
58
77
http://jsm.iau-arak.ac.ir/article_520690_02a6c79fbb67128e698ac2b618c02e57.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Dynamic Response of an Axially Moving Viscoelastic Timoshenko Beam
H
Seddighi
H.R
Eipakchi
In this paper, the dynamic response of an axially moving viscoelastic beam with simple supports is calculated analytically based on Timoshenko theory. The beam material property is separated to shear and bulk effects. It is assumed that the beam is incompressible in bulk and viscoelastic in shear, which obeys the standard linear model with the material time derivative. The axial speed is characterized by a simple harmonic variation about a constant mean speed. The method of multiple scales with the solvability condition is applied to dimensionless form of governing equations in modal analysis and principal parametric resonance. By a parametric study, the effects of velocity, geometry and viscoelastic parameters are investigated on the response.
Viscoelastic
Axially moving beam
Perturbation
Dynamic Response
Timoshenko theory
2016
03
30
78
92
http://jsm.iau-arak.ac.ir/article_520691_f045e1e5df6f7bd42eeb1fcfcf5d9810.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
A Simple Finite Element Procedure for Free Vibration and Buckling Analysis of Cracked Beam-Like Structures
M.R
Shirazizadeh
H
Shahverdi
A
Imam
In this study, a novel and very simple finite element procedure is presented for free vibration and buckling analysis of slim beam-like structures damaged by edge cracks. A cracked region of a beam is modeled using a very short element with reduced second moment of area (I). For computing reduced I in a cracked region, the elementary theory of bending of beams and local flexibility approach are used. The method is able to model cracked beam-columns by using ordinary beam elements. Therefore, it is possible to solve these problems with much less computational costs compared to 2D and 3D standard FE models. Numerical examples are offered to demonstrate the efficiency and effectiveness of the presented method.
Cracked beam
Modal Analysis
Buckling load
F.E.M
2016
03
30
93
103
http://jsm.iau-arak.ac.ir/article_520692_1985a372b0f3c19f717ea945157417fe.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
A New Numerical Procedure for Determination of Effective Elastic Constants in Unidirectional Composite Plates
S
Daryazadeh
L
Lvov Gennadiy
M
Tajdari
In this paper a composite plate with similar unidirectional fibers is considered. Assuming orthotropic structure, theory of elasticity is used for investigating the stress concentration. Also, complex variable functions are utilized for solving the plane stress problems. Then the effective characteristics of this plate are studied numerically by using ANSYS software. In this research a volume element of fibers in square array is considered. In order to investigate the numerical finite element modeling, the modeling of a quarter unit cell is considered. For determining the elasticity coefficients, stress analysis is performed for considered volume with noting to boundary conditions. Effective elasticity and mechanical properties of composite which polymer epoxy is considered as its matrix, are determined theoretically and also by the proposed method in this paper with finite element method. Finally, the variations of mechanical properties with respect to fiber-volume fraction are studied.
Composite plate
Unidirectional fibers
Effective elastic constants
Orthotropic plate
2016
03
30
104
115
http://jsm.iau-arak.ac.ir/article_520694_d89f5b90ec8b8d043a77f25b47e4ff34.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Numerical and Experimental Study of Buckling of Rectangular Steel Plates with a Cutout
M
Shariati
Y
Faradjian
H
Mehrabi
Steel plates are used in various structures, such as the structures of the deck and body of ships, bridges, and aerospace industry. In this study, we investigate the buckling and post-buckling behavior of rectangular steel plates having circular cutouts with two boundary conditions: first, clamped supports at upper and lower ends and free supports at other edges; second, clamped supports at upper and lower ends and simply supports at other edges, using finite element method (by ABAQUS software) and experimental tests(by an INSTRON servo hydraulic machine). In this research, in addition to the aspect ratio, the effect of changing the location of the cutout on the buckling analysis is investigated. The results of both numerical and experimental analyses are compared and showing a very good agreement between them.
Buckling
Steel plates
Cutout
Experimental analysis
FEM
2016
03
30
116
129
http://jsm.iau-arak.ac.ir/article_520695_c6afb39f9d7ce16b28798f300e125040.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Dynamic Analysis of Offshore Wind Turbine Towers with Fixed Monopile Platform Using the Transfer Matrix Method
M
Feyzollahzadeh
M.J
Mahmoodi
In this paper, an analytical method for vibrations analysis of offshore wind turbine towers with fixed monopile platform is presented. For this purpose, various and the most general models including CS, DS and AF models are used for modeling of wind turbine foundation and axial force is modeled as a variable force as well. The required equations for determination of wind turbine tower response excited by the Morrison force are derived based on Airy wave theory. The transfer matrix is derived for each element of the tower using Euler-Bernoulli’s beam differential equation and the global transfer matrix is obtained considering boundary conditions of the tower and constructing the point matrix. The effective wave force is intended in several case studies and Persian Gulf Environmental conditions are examined for the installation of wind farms. Finally, the obtained results by the transfer matrix method are compared with the results of the finite elements method and experimental data which show good agreement in spite of low computational cost.
Offshore wind turbine tower
Transfer matrix method
Natural Frequencies
Foundation models
Morrison wave force
2016
03
30
130
151
http://jsm.iau-arak.ac.ir/article_520696_d3757687ae75b5158b07a6ad0568030c.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
An Exact Solution for Kelvin-Voigt Model Classic Coupled Thermo Viscoelasticity in Spherical Coordinates
S
Bagheri
M
Jabbari
In this paper, the classic Kelvin-Voigt model coupled thermo-viscoelasticity model of hollow and solid spheres under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat 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 thermoelasticity.
Coupled thermo viscoelasticity
Hollow sphere
Exact solution
Kelvin-Voigt method
2016
03
30
152
167
http://jsm.iau-arak.ac.ir/article_520697_98ab83d19ee7a3236071d8a863249153.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Frequency Aanalysis of Annular Plates Having a Small Core and Guided Edges at Both Inner and Outer Boundaries
L.B
Rao
C.K
Rao
This paper deals with frequency analysis of annular plates having a small core and guided edges at both inner and outer boundaries. Using classical plate theory the governing differential equation of motion for the annular plate having a small core is derived and solved for the case of plate being guided at inner and outer edge boundaries. The fundamental frequencies for the first six modes of annular plate vibrations are computed for different materials and varying values of the radius parameter. The fundamental frequencies thus obtained may be classified into to axisymmetric and/or non-axisymmetric modes of vibration. The exact values of fundamental frequencies presented in this paper clearly show that no mode switching takes place for the case of annular plates with guided edges. The results presented in this paper will be of use in design and also serve as benchmark values to enable the researchers to validate their results obtained using numerical methods such as differential quadrature or finite element methods.
Annular Plate
vibrations
Guided edge
Mode switching
2016
03
30
168
174
http://jsm.iau-arak.ac.ir/article_520698_151f1b8dd6019c4a4bab7e123553aeb5.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Consolidation Around a Heat Source in an Isotropic Fully Saturated Rock with Porous Structure in Quasi-Static State
N
Das Gupta
N.C
Das
The titled problem of coupled thermoelasticity for porous structure has been solved with an instantaneous heat source acting on a plane area in an unbounded medium. The basic equations of thermoelasticity, after being converted into a one-dimensional form, have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach for the field variables in the Laplace transform domain in closed form. The deformation, temperature and pore pressure have been determined for the space time domain by numerical inversion from the Laplace transform domain. Finally the results are analyzed by depicting several graphs for the field variables.
Consolidation
Porous
Isotropic
Thermoelasticity
Quasi-Static
2016
03
30
175
183
http://jsm.iau-arak.ac.ir/article_520699_3421e738ab5f5c0e8a0db0c27d818d6e.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Generalized Differential Quadrature Method for Vibration Analysis of Cantilever Trapezoidal FG Thick Plate
K
Torabi
H
Afshari
This paper presents a numerical solution for vibration analysis of a cantilever trapezoidal thick plate. The material of the plate is considered to be graded through the thickness from a metal surface to a ceramic one according to a power law function. Kinetic and strain energies are derived based on the Reissner-Mindlin theory for thick plates and using Hamilton's principle, the governing equations and boundary conditions are derived in the Cartesian coordinates. A transformation of coordinates is used to convert the equations and boundary conditions from the original coordinate into a new computational coordinates. Generalized differential quadrature method (GDQM) is selected as a strong method and natural frequencies and corresponding modes are derived. The accuracy and convergence of the proposed solution are confirmed using results presented by other authors. Finally, the effect of the power law index, angles and thickness of the plate on the natural frequencies are investigated.
Generalized differential quadrature method (GDQM)
Vibration analysis
Trapezoidal plate
Functionally graded materials (FGM)
2016
03
30
184
203
http://jsm.iau-arak.ac.ir/article_520700_e6448139cd449390018d7014c8f285e1.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Steady Thermal Stresses in a Thin Rotating Disc of Finitesimal Deformation with Mechanical Load
J
Kaur
P
Thakur
S.B
Singh
Seth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising from Tresca yield condition. It has observed that for rotating disc made of compressible material required higher angular speed to yield at the internal surface as compare to disc made of incompressible material and a much higher angular speed is required to yield with the increase in radii ratio. With the introduction of thermal effects, lesser angular speed is required to yield at the internal surface. Thermal effect in the disc increase the value of circumferential stress at the internal surface and radial stresses at the external surface for compressible as compare to incompressible material.
Plastic
Transitional
Finitesimal
Stresses
Disc
Load
temperature
2016
03
30
204
211
http://jsm.iau-arak.ac.ir/article_520701_5622819ff9faf68953f9a0c8aa27abe1.pdf
Journal of Solid Mechanics
JSM
2008-3505
2008-3505
2016
8
1
Free Vibration Analysis of Continuously Graded Fiber Reinforced Truncated Conical Shell Via Third-Order Shear Deformation Theory
M.H
Yas
M
Nejati
A
Asanjarani
This paper deals with free vibration analysis of continuously graded fiber reinforced (CGFR) truncated conical shell based on third-order shear deformation theory (TSDT), by developing special power-law distributions. The orthotropic (CGFR) truncated conical shell are clamped and simply supported at the both ends. It is assumed to have a smooth variation of fibers volume fraction in the thickness direction. Symmetric and classic volume fraction profiles are examined. The appropriate displacement functions which identically satisfy the axisymmertic conditions are used to simplify the motion equations to a set of coupled ordinary differential equation with variable coefficients, which can be solved by generalized differential quadrature method (GDQM), to obtain the natural frequencies. The fast rate of convergence of the method is observed. To validate the results, comparisons are made with the available solutions for isotropic and CGM isotropic truncated conical shells. The effect of various geometrical parameters on the vibrational behavior of the CGFR truncated conical shell is investigated. This literature mainly contributes to illustrate the impact of the power-law distributions on the vibrarional behavior of orthotropic continuous grading truncated conical shell. This paper is also supposed to present useful results for continuouly graded fibers volume fraction in the thickness direction of a truncated conical shell and comparison with similar discrete laminated composite one.
Continuously graded fiber reinforced
Special power-law distributions
Truncated conical shell
Free vibration
TSDT
2016
03
30
212
231
http://jsm.iau-arak.ac.ir/article_520702_92d9bbc39f3a1902edcc498a7809278c.pdf