A bimodular material is a kind of that presents two elastic moduli in tension and compression. In classical thermoelasticity, however, the rarely considered due to its complexity analysis. fact, almost all materials will present, more or less, characteristics, some cases, mechanical properties cannot be fully utilized simply by ignoring characteristics. this study, thermal stress problem curved...

It is well known that fourth-order boundary value problems (BVPs) arise in a variety of different areas of the flexibility mechanics and engineering physics and thus have been extensively studied; for instance, see [1–29] and references therein. Boundary value problems with integral boundary conditions appear in heat conduction, thermoelasticity, chemical engineering underground water flow, and...

We consider linear initial-boundary value problems that are a coupling like second-order thermoelasticity, or the thermoelastic plate equation or its generalization (the α-β-system introduced in [1, 26]). Now, there is a delay term given in part of the coupled system, and we demonstrate that the expected inherent damping will not prevent the system from not being stable; indeed, the systems wil...

The governing equations of generalized magneto-thermoelasticity with hydrostatic initial stress are solved for surface wave solutions. The particular solutions in the half-space are applied to the boundary conditions at the free surface of the half-space to obtain the frequency equation of Rayleigh wave. The frequency equation is approximated for small thermal coupling and small reduced frequen...

Microstructural properties of materials, especially crystalline solids, are implicated in many of their properties. Vice versa, there are macroscopic environments which limit microstructural configurations. Certain iron/rare earth alloys, eg, TbDyFe2, display both a huge magnetostriction and frustration, i.e., minimum energy not achieved, in which microstructure plays an important, if puzzling,...

For 1-D parabolic PDEs with disturbances at both boundaries and distributed disturbances we provide ISS estimates in various norms. Due to the lack of an ISS Lyapunov functional for boundary disturbances, the proof methodology uses (i) an eigenfunction expansion of the solution, and (ii) a finite-difference scheme. The ISS estimate for the sup-norm leads to a refinement of the well-known maximu...

The main goal of this research is to provide a novel model that describes an optically heated layer excited non-local microelongated semiconductor material. In rotating field, the examined as photo-excitation processes occur. presents microelongation scalar function, which microelement according micropolar-thermoelasticity theory. analyses interaction situation between optical-thermomechanical ...