A dynamic thermal conduction problem needs a mathematical formulation and solution consisting of cylindrical coordinates materials for the application nuclear reactor and/or laser therapeutic when subjected to higher heat fluxes. In this study, dual-phase-lag (DPL) transient non-Fourier in functional graded material is analytically solved under axial flux condition. Functional Graded Material (...

The primary goal of this paper is to create a new fractional boundary element method (BEM) model for bio-thermomechanical problems in functionally graded anisotropic (FGA) nonlinear viscoelastic soft tissues. governing equations are briefly presented, including the dual-phase-lag (DPL) bioheat and Biot’s model. more complex shapes tissues can be handled by method, which also avoids need interio...

Abstract This paper is devoted to studying the linear system of partial differential equations modelling a one-dimensional thermo-porous-elastic problem with microtemperatures in context dual-phase-lag heat conduction. Existence, uniqueness, and exponential decay solutions are proved. Polynomial stability also obtained case that relaxation parameters satisfy certain equality. Our arguments base...

In this article, the author has used fractional calculus to explain the wave nature of heat propagation as well as heat conduction at molecular level with dual phase lag; in this row he proposed dual phase lag heat equation of fractional order. Modified Adomian Decomposition Method and New Iterative Method are applied to obtain the approximate analytical solutions of the proposed model. Numeric...

In the last twenty years, analysis of problems involving dual-phase-lag models has received an increasing attention. this work, we consider coupling between one these and microtemperatures effects. order to overcome infinite speed paradox, two relaxation parameters are introduced for each evolution equation related temperature microtemperatures, leading a system linear hyperbolic partial differ...

12  Abstract— In the present paper, The normal mode analysis is used to study the deformation of a rotating generalized thermoelastic medium under the influence of gravity subjected to thermal loading in the context of dual-phase-lag thermoelastic model. The exact expressions for the temperature, displacement components, and stress components are given in the physical domain and illustrated gr...