Abstract
The purpose of this study is to provide a method to investigate the effects of thermal relaxation times in a poroelastic material by using the finite element method. The formulations are applied under the Green and Lindsay model, with four thermal relaxation times. Due to the complex governing equation, the finite element method has been used to solve these problems. All physical quantities are presented as symmetric and asymmetric tensors. The effects of thermal relaxation times and porosity in a poro-thermoelastic medium are studied. Numerical computations for temperatures, displacements and stresses for the liquid and the solid are presented graphically.
Highlights
IntroductionBiot [2,3] formulated a theoretical framework for the propagation of isothermal waves in the fluid-saturated elastic porous medium for both cases of low- and high-frequency ranges
The theory of poroelasticity was expanded by Biot [1]
Biot [2,3] formulated a theoretical framework for the propagation of isothermal waves in the fluid-saturated elastic porous medium for both cases of low- and high-frequency ranges
Summary
Biot [2,3] formulated a theoretical framework for the propagation of isothermal waves in the fluid-saturated elastic porous medium for both cases of low- and high-frequency ranges. Following Biot’s model, many researchers have studied problems with the propagation of plane and surface wave in liquid-saturated porous mediums. Due to numerous applications in the fields of geophysics and similar subjects, growing attentiveness is being paid to the interactions between fluids such as water and thermo-elastic solids, a field of porothermoelasticity. Over the past four decades, thermoelastic models, which admit finite speed for thermal signals, have received a lot of attention. These models are known as generalized thermoelastic models
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