Abstract—The present work is aimed at the study the analytical and numerical solutions of thermoelastic problem in a semi-infinite medium in the context of the Green and Naghdi theory of type III. The governing equations are expressed in Laplace transform domain and solved in the domain by analytical method and finite element method. The solutions of the problem in the ... Read more

Abstract — The present work is aimed at the study of thermoelastic interactions in a semi-infinite medium in the context of the Green and Naghdi theory of type II. The governing equations are expressed in Laplace transform domain and solved in the domain by analytical method and finite element method. The solutions of the problem in the physical domain are ... Read more

This article presents the electro–magneto–thermoelastic analysis problem of an infinite functionally graded material (FGM) hollow cylinder based upon Lord and Shulman’s (LS) theory. Material properties of the cylinder are assumed to be graded in the radial direction according to a novel power-law distribution in terms of the volume fractions of the metal and ceramic constituents. The inner surface of the ... Read more

In this work, we have constructed the equations for generalized thermoelasticity of an unbounded fiber-reinforced anisotropic medium with a circular hole. The formulation is applied in the context of Green and Naghdi (GN) theory. The thermoelastic interactions are caused by (I) a uniform step in stress applied to the boundary of the hole with zero temperature change and (II) a ... Read more

Some sort of controversy is associated with the problem of viscous dissipation in saturated porous media for which we try to present a comparison study between the influences of the different terms contributing to this phenomenon. We consider viscous dissipation by studying the case of semi-infinite flat plate embedded in saturated porous medium and is kept at constant, higher temperature ... Read more

In this work, a general finite element model is proposed to analyze transient phenomena in thermoelastic half-space filled with an elastic material, which has constant elastic parameters. The governing equations are taken in the context of the two-temperature generalized thermoelasticity theory (Youssef in IMA J. Appl. Math. 71(3):383–390, 2006). A linear temperature ramping function is used to more realistically model ... Read more

The present work is aimed at the study of thermoelastic interactions in an infinite fibre-reinforced anisotropic plate containing a circular hole in the context of a theory of generalized thermoelasticity in which the theory of heat conduction in deformable bodies depends on two different temperatures-conductive temperature and dynamic temperature. The two-temperature generalized thermoelastic model and one-temperature generalized thermoelastic model are ... Read more

In this work, we study the effect of the magnetic field, rotation, thermal field, and the initial stress and also voids on the reflection of P-wave with one relaxation time. The formulation is applied to generalization, the Lord–Shulman theory with one relaxation time. The electromagneto-thermoelastic interactions in perfectly conducting plane is subjected to a uniform axial magnetic field with voids ... Read more

The two-dimensional problem of micropolar thermoelastic material with two temperatures in the context of Lord-Shulman theory is investigated. As an application of the problem, a particular type of thermal source is considered and the problem is solved numerically by using a finite element method. The components of displacement, stress, microrotation, temperature field and conductive temperature are obtained. The resulting quantities ... Read more

The present investigation deals with the deformation due to thermal source in a thermally elastic body with fractional order derivative. As an application of the approach; a particular type of continuous thermal source has been taken. The displacement and stress components and temperature distribution are obtained and presented graphically to illustrate the effect of fractional order derivatives. Read more