Fractional order theory of thermoelasticity

The theory of generalized thermoelastic diffusion

In this paper, a new theory of generalized thermoelasticity has been constructed by taking into account the theory of heat conduction in deformable bodies, which depends on two distinct temperatures, the conductive temperature and the thermodynamic temperature, where the difference between these two temperatures is proportional to the heat supply. The uniqueness theorem is obtained for equations of two-temperature-generalized linear thermoelasticity for a homogeneous and isotropic body.

Theory of two-temperature-generalized thermoelasticity

Introduction To Stochastic Calculus With Applications

Boundary Integral and Singularity Methods for Linearized Viscous Flow: Green's functions

The equations of generalized thermoelasticity for an anisotropic medium are derived. Also, a uniqueness theorem for these equations is proved. A variational principle for the equations of motion is obtained.

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Generalized thermoelasticity for anisotropic media

A half-space problem in the theory of generalized thermoelastic diffusion

The solution of the problem of determining stress and temperature distributions with a continuous source of heat in an infinite elastic body governed by the equations of generalized thermoelasticity are obtained by using the Laplace transform technique. Inverse transforms are obtained in an approximate manner for small values of time. Numerical computations for some particular cases are carried out and the results are compared with the corresponding solutions of the coupled case and the uncoupled classical case.

Hany H. Sherief

Papers

Generalized thermoelasticity for anisotropic media

Fractional order theory of thermoelasticity

The theory of generalized thermoelastic diffusion

A half-space problem in the theory of generalized thermoelastic diffusion

Fundamental solution of the generalized thermoelastic problem for short times