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 study of the effect microstructure is important and most evident in elastic vibrations high frequency short-wave duration. In addition to deformation caused by temperature acting forces, theory micropolar thermoelasticity applied investigate materials when vibration their atoms or molecules increased. This paper addresses a two-dimensional problem involving thermoelastic micro-polar half-sp...

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.

We study a model for the semiconductor problem that consists of a system of dynamic thermoelasticity equations of displacement and semiconductor equations. This problem arises from the observation that semiconductor devices are too often cracked and broken because of the thermal stresses. Since the heat source generated by Joule heating is quadratic in the gradient of the electrical potential, ...