We investigate a specific finite element model to study the thermoelastic behavior of an elastic body within context nonlinear strain-limiting constitutive relation. As special subclass implicit relations, response our interest is such that stresses can be arbitrarily large, but strains remain small, especially in neighborhood crack-tips. Thus, proposed inherently consistent with assumption sma...

Modeling the elastic behavior of dual-phase steels is complex due to strain dependency Young's modulus and high nonlinearity. Since it assumed that reasons for this are be found in microstructural behavior, microscopic in-situ analysis necessary, but overlap martensite ferrite peaks, evaluation diffraction profiles highly complex. Within work, CR590Y980T (DP1000) investigated a continuous cycli...

In the paper, a local stationary model of thermoelastic state porous material is constructed. The based on uncoupled boundary value problems for equations heat conduction and thermoelasticity space with two spherical cavities. temperature field determined by constant surfaces cavities, which are considered free forces. problem was solved generalized Fourier method (GFM), paper presents its furt...

The temperature dependences of the electron heat capacity and the electron-phonon coupling factor are investigated for Au based on the electron density of states obtained from ab initio electronic structure calculations. Thermal excitation of d band electrons leads to a significant (up to an order of magnitude) increase in the electronphonon coupling factor and makes a considerable contribution...

A new theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of dual-phase-lag heat conduction with fractional orders. The theory is then adopted to study thermoelastic interaction in an isotropic homogenous semi-infinite generalized thermoelastic solids with variable thermal conductivity whose boundary is subjected to thermal and mechanical ...

The purpose of this research is to study the wave propagation in orthotropic generalized thermoelastic half-space with voids under initial stress. It is found that, for two dimensional model of orthotropic generalized thermoelastic material with voids under initial stress, there exists three quasi-longitudinal waves namely, quasi-longitudinal wave (QP-mode), quasi-longitudinal thermal wave (QPT...

We consider a structural acoustic problem with the flexible wall modeled by a thermoelastic plate, subject to Dirichlet boundary control in the thermal component. We establish sharp regularity results for the traces of the thermal variable on the boundary, in the case the system is supplemented with clamped mechanical boundary conditions. These regularity estimates are most crucial for validity...

We examine thermoelastic equations of state for silicate perovskite based on data from recent static compressiori studies. We analyze trade-offs among the fitting parameters arid examine data sets for possible effects of metastability and of Mg-Fe solid solution. Significant differences are found between equations of' state based on low pressure measurements obtained for perovskite outside of i...

In this work we give a result of exact controllability for a thermoelastic system in which the control term is placed solely in the thermal equation. With such an indirect control input, one is able to control exactly the displacement of the plate, as well as the temperature. This exact controllability occurs in arbitrarily small time. In the case that the moment of inertia parameter for the pl...

We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R, n ≤ 3. Existence of finite energy solutions describing the dynamics of a nonlinear thermoelastic plate is established. In addition asymptotic long time behavior of weak solutions is discussed. It is shown that finite energy solutions decay exponentially to zero with ...