Based on Green–Lindsay generalized thermoelasticity theory, this paper presents a new refined higher-order time-derivative model. Thinner one-dimensional skin tissue is considered when its inner surface free of traction and does not show any temperature increase. The tissue’s bounding has been heated by ramp-type heating. classical thermoelastic theories are obtained from the present general fo...

a dynamic two dimensional problem of thermoelasticity with double porous structure has been considered to investigate the disturbance due to normal force and thermal source. laplace and fourier transform technique is applied to the governing equations to solve the problem. the transformed components of stress and temperature distribution are obtained .the resulting expressions are obtained in t...

A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in a previous publication plays the role of a " thermoelastic potential " and is used along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement. The g...

The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero ...