In the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction and depict microscopic responses more precisely. The constructed model is applied to s...

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...

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...