Abstract-In order to adequately reproduce the thermo-mechanical behaviour of metals under finite volume reduction and large temperature increase, it is necessary to use the second order thermoelastic analysis, i.e. to use the free energy function expanded up to the third degree in strain and tcmpcrature. Determination of the corresponding material constants is given and the resulting expression...

The main purpose of present article is to find the fundamental solution of partial differential equations in the generalized theory of thermoelastic diffusion materials with double porosity in case of steady oscillations in terms of elementary functions.

We consider a transmission problem for coupling of purely elastic string and thermoelastic beam; the heat conduction is modeled by Fourier's law. prove that associated semigroup polynomially stable order $ 2 $, such result optimal.

A toolkit that simplifies the calculation of solid-state elastic properties at finite temperatures to a one-shot task is developed. We report improvement and automation stress-strain method, which relies on averaged stresses from ab initio or classical calculations. Stresses obtained strained crystal lattices zero can be directly extracted fit strain-stress relationship get constants. Furthermo...