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Fundamental solutions in the generalized theory of thermoelastic diffusion with triple porosity

Kansal Tarun

Engineering Transactions

2023

Vol. 71, iss. 4

473--505

The main aim of this paper is to derive the basic governing equations for an anisotropic thermoelastic medium with mass diffusion and triple porosity. Additionally, the fundamental solutions of a system of equations for steady, pseudo-, quasi-static oscillations and equilibrium are constructed.

The Theory of Thermoelasticity with Double Porosity and Microtemperatures

Kansal Tarun

Computational Methods in Science and Technology

2022

Vol. 28, No. 3

87--107

The aim of the paper is to establish the basic governing equations for anisotropic thermoelastic medium with double porosity and microtemperatures and to construct the fundamental solution of a system of equations in cases of steady, pseudo-, quasi-static oscillations and equilibrium.

Fundamental Solutions in the Theory of Micromorphic Thermoelastic Diffusion Materials with Microtemperatures and Microconcentrations

Kansal Tarun

Computational Methods in Science and Technology

2022

Vol. 28, No. 1

11--25

The main purpose of this paper is to construct the fundamental solutions of a system of equations of isotropic micromorphic thermoelastic diffusion materials with microtemperatures and microconcentrations in case of steady oscillations in terms of elementary functions. In a particular case, the fundamental solutions of the system of equations of equilibrium theory of isotropic micromorphic thermoelastic diffusion materials with microtemperatures and microconcentrations are also established.