In this paper, a general solution to the field equations of two-temperature generalized thermoelastic theory in an unbounded medium with a spherical cavity has been obtained in the context of Green and Naghdi model. The eigenvalue approach is adopted for the solution of application for unbounded medium with a spherical cavity. The medium is assumed to be initially quiescent. The ... Read more

A three-dimensional model of the generalized thermoelasticity without energy dissipation under temperature-dependent mechanical properties is established. The modulus of elasticity is taken as a linear function of the reference temperature. The resulting formulation in the context of Green and Naghdi model II is applied to a half-space subjected to a time-dependent heat source and traction free surface. The normal mode ... Read more

A thermal shock problem of rotating generalized thermoelastic half-space with diffusion is considered. The governing equations of the model are reduced in xy-plane in terms of non-dimensional quantities. The corresponding finite element equations are obtained, the solutions of which are subjected to required initial and boundary conditions. Using finite element method, the distributions of displacement components, stress components, temperature, chemical ... Read more

The generalized magneto-thermoelasticity theory, based on Green–Naghdi model, is used to study the thermal shock problem of a fiber-reinforced anisotropic half-space. The solid half-space deforms because of thermal shock, and due to the application of the magnetic field. Maxwell’s equations are formulated and the generalized coupled governing equations are derived. Finite element method with the Laplace transform technique is used ... Read more

In this study, we aim to compare the optimal homotopy analysis solution with the exact solution of thermoelastic interactions problem in isotropic media. The thermoelastic interactions in a semi-infinite medium in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman's theory) is considered. The mathematical model solved by analytical method and optimal homotopy analysis ... Read more

A numerical solution for the free convective, unsteady, incompressible, laminar convective heat and mass transfer in a viscoelastic fluid along an impulsively started vertical plate with variable temperature and concentration in considered. The rheology of the fluid is studied through the Walters' (model B) to simulate medical creams, biotechnology and chemical engineering. The governing boundary layer equations are reduced to ... Read more

In this article, the generalized thermoelastic problem of an axially moving microbeam subjected to ramp-type heating is studied. Based on the heat conduction equation containing the thermoelastic coupling term and the classical Euler–Bernoulli thin beam theory, the thermoelastic coupling differential equation of motion of the microbeam is established. The generalized thermoelasticity theory with dual-phase-lags (DPLs) model is used to solve ... Read more

This study is dedicated to some basic theorems in the thermoelastodynamics of microstretch bodies. Our intention is to show that the presence of the microstretch does not affect the main characteristics of the mixed initial boundary value problem for thermoelastic bodies. The result regarding the uniqueness theorem is derived with no definiteness assumptions on the elastic coefficients and in the ... Read more

In this work, the consideration of variable thermal conductivity as a linear function of temperature has been taken into account in the context of fractional order generalized thermoelasticity (Youssef's model). The governing equations have been derived and used to solve the one-dimensional problems of an elastic half-space. The solution has been induced in the Laplace transform domain and applying for ... Read more

Different plate theories are presented to study the thermoelastic response of a multilayered angle-ply composite plate. The plate is subjected to a sinusoidal temperature and resting on different types of elastic foundations. The effects due to thermal loads and elastic foundations parameters as well as the variation of lamination angle are studied. Numerical results suggest that Pasternak's model should be ... Read more