It is seen how to write the standard form of the four partial differential equations in four unknowns of anisotropic thermoelasticity as a single equation in one variable, in terms of isothermal and isentropic wave operators. This equation, of diffusive type, is of the eighth order in the space derivatives and seventh order in the time derivatives and so is parabolic in character. After having ...

Abstract The reflection and refraction phenomenon of propagation waves in couple stress micropolar thermoviscous elastic solid media with independent viscoelastic properties have been studied. structure the model has taken such that plane interface is divides given into two half spaces perfect contact. Here, we find there are five waves, one them propagating independently while others set coupl...

February 10, 2022 the famous scientist in mechanics of solids and applied mathematics, teacher, organizer science higher education Russia YuriN.Radayev is celebrating his60thanniversary. known as a prominent field mathematics. The principal directions his academic activity are Mathematical Theory Plasticity, Fracture Mechanics, Cracks Microdamages, Coupled Hyperbolic Thermoelasticity Thermomech...

The propagation of singularities for the system of homogeneous thermoelasticity in one space dimension is studied. Linear and a class of semilinear Cauchy problems are considered.

In this paper, the vibration of microbeams due to a temperature pulse has been investigated. The thermoelastic coupled equations for microbeam resonator have been derived via the modified theory of couple stress in connection with the generalized thermoelasticity with relaxation time. The analytical expressions for studied fields due to modified couple stress for the microbeam have been obtaine...

In this work we establish a local existence and a blow up result for a multidimensional nonlinear system of thermoelasticity with second sound.