A finite element method is used to study the dual-phase-lag model on thermoelastic interactions in a semi-infinite medium subjected to a ramp-type heating. The governing equations are taken in a unified system from which the field equations for coupled thermoelasticity as well as for Lord and Shulman theory can be easily obtained as particular cases. Due attention has been paid ... Read more

A two-dimensional problem in a transversely isotropic thermoelastic medium without energy dissipation and with two temperatures due to a thermal source is investigated. As an application of the problem, a particular type of continuous thermal source has been taken to illustrate the utility of the approach. The problem is solved numerically by using a finite element method. The displacement components, ... Read more

The aim of the present work is to find the secular solution around the triangular equilibrium points and reduce it to the periodic solution in the frame work of the generalized restricted thee-body problem. This model is generalized in sense that both the primaries are oblate and radiating as well as the gravitational potential from a belt. We show that ... Read more

The present investigation deals with the thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a cylindrical cavity. The three-phase-lag (3PL) thermoelastic model and Green and Naghdi model (GNIII) are employed to study the thermophysical quantities. In the threephase-lag model, the equation of heat conduction a containing fourth order derivative with respect to time. The cavity surface is subjected to ... Read more

The purpose of this research is to study the plane problem in initially stressed generalized thermoelastic half-space with voids due to thermal source. A particular type of thermal source has been taken as an application of the approach. Finite element technique has been used to solve the problem. The components of displacement, stress, temperature change and volume fraction field are ... Read more

The present work is concerned with the solution of a problem on fractional order theory of thermoelasticity for a functional graded material. The governing equations of fractional order generalized thermoelasticity with one relaxation time for functionally graded materials (FGM) (i.e. material with spatially varying material properties) are established. These equations are expressed in Laplace transform domain. The analytical solution in ... Read more

In this paper, the problem of generalized thermoelasticity with one relaxation time for an infinite annular cylinder of temperature dependent physical properties is discussed. Both the inner and outer curved surfaces of the cylinder are considered stress free. The inner surface is subjected to decaying with time and temperature whereas the outer surface is maintained at a reference temperature. A ... Read more

Semi-analytical and numerical solutions are two basic tools in the study of thermoelastic interactions problems in anisotropic media. The present investigation deals with the thermoelastic interactions in a semi-infinite medium in the context of the theory of fractional order generalized thermoelasticity. The governing equations are expressed in Laplace transform domain and solved in the domain by analytical method and finite ... Read more

This paper presents the highly accurate analytical investigation of the natural frequencies for doubly convex/concave sandwich beams with simply-supported or clamped-supported boundary conditions. The present sandwich beam is made of a functionally graded material composed of metal and ceramic. The properties are graded in the thickness direction of the two faces according to a volume fraction power-law distribution. The bottom ... Read more

The thermoelastic interaction in an unbounded medium with a spherical cavity is studied using two-temperature generalized thermoelasticity theory. The medium is assumed to be initially quiescent. The inner surface of the cavity is taken traction free and subjected to a thermal shock. By the Laplace transformation, the basic equations are expressed in the form of a vector-matrix differential equation, which ... Read more