This article addresses a thermoelastic problem under varying thermal conductivity with and without Kirchhoff’s transforms. The temperature increment, displacement, stresses in an orthotropic material spherical cavities are studied. inner surface of the hole is constrained heated by shock. numerical solutions derived using finite element technique setting generalized thermoelasticity model one d...

This work introduces a new thermoelastic model of an isotropic and homogeneous annular cylinder. The cylinder’s bounding inner surface is shocked thermally, the outer has no temperature increment volumetric strain. governing equations in context hyperbolic two-temperature generalized thermoelasticity with fractional-order strain theory have been derived. numerical solutions conductive temperatu...

We determine the thermoelastic state caused by a plane axisymmetric temperature field and surface loads in multilayer hollow orthotropic cylinder with regard for dependences of physical mechanical characteristics on coordinates temperature. The thermoelasticity problem is reduced to solving systems integral-algebraic equations radial displacements. These are obtained from integral representatio...

This work proposes new interface conditions between the layers of a three-dimensional composite structure in framework coupled thermoelasticity. More precisely, mechanical behavior two linear isotropic thermoelastic solids, bonded together by thin layer, constituted material, is studied means an asymptotic analysis. After defining small parameter ε, which tends to zero, associated with thicknes...

This paper estimated the problem of one-dimensional generalized thermoelastic half-space in medium considering two models: Lord and Shulman (LS) model Dual-Phase-Lag (DPL) model. We assumed that surface was free from traction force under an exponentially varying external heat source at boundary with time. The technique homotopy perturbation has been applied to find approximate solution for inte...