Solution of Moore–Gibson–Thompson equation of an unbounded medium with a cylindrical hole

AE Abouelregal, H Ersoy, Ö Civalek - Mathematics, 2021 - mdpi.com
In the current article, in the presence of thermal and diffusion processes, the equations
governing elastic materials through thermodiffusion are obtained. The Moore–Gibson …

[PDF][PDF] 广义热弹性问题研究进展

田晓耕, 沈亚鹏 - 2012 - lxjz.cstam.org.cn
广义热弹性问题研究进展 Page 1 第42 卷第1 期 力学进展 Vol. 42 No. 1 2012 年1 月25 日
ADVANCES IN MECHANICS Jan. 25, 2012 广义热弹性问题研究进展 ∗ 田晓耕† 沈亚鹏 西安 …

Generalized thermoelastic-diffusion model with higher-order fractional time-derivatives and four-phase-lags

AE Abouelregal, MA Elhagary, A Soleiman… - … Based Design of …, 2022 - Taylor & Francis
The present work is devoted to the derivation of fundamental equations in generalized
thermoelastic diffusion with four lags and higher-order time-fractional derivatives. The …

Generalized theory of thermoelastic diffusion for anisotropic media

M Aouadi - Journal of Thermal Stresses, 2008 - Taylor & Francis
The equations of generalized thermoelastic diffusion, based on the theory of Lord and
Shulman with one relaxation time, are given in anisotropic media. A variational principle for …

[HTML][HTML] Propagation of Lamb waves in transversely isotropic thermoelastic diffusive plate

R Kumar, T Kansal - International Journal of Solids and Structures, 2008 - Elsevier
The constitutive relations and field equations for anisotropic generalized thermoelastic
diffusion are derived and deduced for a particular type of anisotropy, ie transverse isotropy …

Generalized mathematical novel model of thermoelastic diffusion with four phase lags and higher-order time derivative

AE Abouelregal - The European Physical Journal Plus, 2020 - epjplus.epj.org
In this work, taking into account the influences of thermal and diffusion, a new four-phase-lag
model comprising the macroscopic and microscopic is constructed. The introduced model is …

Effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids by using the Lord-Shulman and dual-phase-lag models

SM Abo-Dahab, AM Abd-Alla, AA Kilany - Applied Mathematics and …, 2019 - Springer
The effects of rotation and gravity on an electro-magneto-thermoelastic medium with
diffusion and voids in a generalized thermoplastic half-space are studied by using the Lord …

A theory of thermoelastic diffusion materials with voids

M Aouadi - Zeitschrift für angewandte Mathematik und Physik, 2010 - Springer
In the first part of this paper, we derive the equations of the linear theory of thermoelastic
diffusion in porous media based on the concept of volume fraction. Then, we establish a …

Transient responses to an infinite solid with a spherical cavity according to the MGT thermo-diffusion model with fractional derivatives without nonsingular kernels

AE Abouelregal, A Rayan… - Waves in Random and …, 2022 - Taylor & Francis
The main purpose of this paper is to describe the coupling mechanism between heat
transfer and diffusion in thermoelastic materials. This will be investigated by deriving a new …

Generalized thermoelastic responses in an infinite solid cylinder under the thermoelastic-diffusion model with four lags

AE Abouelregal, H Ahmad, AMH Yahya, A Saidi… - Chinese Journal of …, 2022 - Elsevier
Understanding thermal diffusion through elastic materials is an important process that links
the fields of temperature, strain, and mass diffusion. Certain mathematical and experimental …