The Eshelby stress (static energy momentum) tensor is derived for bone modelled as an inhomogeneous piezoelectric and piezomagnetic Cosserat (micropolar) medium. The divergence of this tensor is the configurational force felt by material gradients and defects in the medium. Just as in inhomogeneous elastic media, this force is identified with the thermodynamic force for phase transformations, i...

this paper presents a nonlinear model of a clamped-clamped microbeam actuated by an electrostatic load with stretching and thermoelastic effects. the frequency of free vibration is calculated by discretization based on the differential quadrature (dq) method. by separating the real and imaginary parts of frequency, the quality factor of thermoelastic damping is calculated. both the stretching a...

[1] It is known that GPS time series contain a seasonal variation that is not due to tectonic motions, and it has recently been shown that crustal seismic velocities may also vary seasonally. In order to explain these changes, a number of hypotheses have been given, among which thermoelastic and hydrology‐induced stresses and strains are leading candidates. Unfortunately, though, since a genera...

In this paper we consider a mathematical model for photoacoustic imaging which takes into account attenuation due to thermodynamic dissipation. The propagation of acoustic (compressional) waves is governed by a scalar wave equation coupled to the heat equation for the excess temperature. We seek to recover the initial acoustic profile from knowledge of acoustic measurements at the boundary. We ...

Abstract In our paper, we consider the mixed problem in context of Green-Naghdi theory thermoelastic Cosserat media. Using very accessible mathematical calculations, prove two qualitative results on solutions formulated problem. Thus, first these approaches, obtain a result stability, Hölder type, with regards to loads. second main result, continuous dependence regarding initial values from It ...

In this work we investigate the material point model (MP-model) and exploit the geometrical meaning of the " entropy form " introduced by B.Coleman and R.Owen ([7]). We analyze full and partial integrability (close-ness) condition of the entropy form for the model of thermoelastic point and for the the deformable ferroelectric crystal media point. We show that the extended thermodynamical space...

Decay of the Kinetic and the Thermal Energy of Compressible Micropolar Fluids. We consider a heat conducting compressible micropolar fluid at rest and filling a closed stationary rigid container. We show that tim energy of arbitrary disturbances of the fluid eventually decays. Abnahme der kinetischcn und der thermischen Energie kompressibler mikropolarcr Fliissigkeiten. Betrachtet wird eine ruh...

A comprehensive study of thermal radiation on a steady two-dimensional laminar flow of a viscous incompressible electrically conducting micropolar fluid past a stretching surface embedded in a non-Darcian porous medium is analyzed numerically. The governing equations of momentum, angular momentum, and energy equations are solved numerically using RungeKutta fourth order method with shooting tec...