Eigenvalue Approach to Generalized Thermoelastic Interactions in an Annular Disk

Purpose The purposes of this study, a mathematical model of generalized thermoelastic theory subjected to thermal loading is presented to study the wave propagation in a two-dimensional porous medium. Design/methodology/approach By using Fourier–Laplace transforms with the eigenvalue approach, the physical quantities are analytically obtained. Findings The derived method is evaluated with numerical results, which are applied to the porous medium in simplified geometry. Originality/value Numerical outcomes for all the physical quantities considered are implemented and represented graphically. The variations of temperature, the changes in volume fraction field, the displacement components and the stress components have been depicted graphically.

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Eigenvalue Approach on Generalized Thermoelastic Interactions of a Layer

International Journal of Mathematics Trends and Technology ◽

10.14445/22315373/ijmtt-v54p527 ◽

2018 ◽

Vol 54 (3) ◽

pp. 240-252 ◽

Cited By ~ 1

Author(s):

Nilanjana Gangopadhyaya ◽

◽

Surath Roy ◽

Manasi Sahoo ◽

Suparna Roychowdhury

Keyword(s):

Eigenvalue Approach ◽

Generalized Thermoelastic

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Interactions due to Moving Heat Sources in Generalized Thermoelastic Half-Space using L-S Model

International Journal of Applied Mechanics and Engineering ◽

10.2478/ijame-2013-0049 ◽

2013 ◽

Vol 18 (3) ◽

pp. 815-831 ◽

Cited By ~ 3

Author(s):

N. Sarkar ◽

A. Lahiri

Keyword(s):

Half Space ◽

Heat Sources ◽

Dimensional Problem ◽

Eigenvalue Approach ◽

One Dimensional ◽

Coupled Equations ◽

The Laplace Transform ◽

Moving Plane ◽

Generalized Thermoelastic ◽

S Model

Abstract A one-dimensional problem for a homogeneous, isotropic and thermoelastic half-space subjected to a moving plane of heat source on the boundary of the space, which is traction free, is considered in the context of Lord- Shulaman model (L-S model) of thermoelasticity. The Laplace transform and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. Numerical results for the temperature, thermal stress, and displacement distributions are represented graphically and discussed

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Analytical and Numerical Solution of 2D Problem for Transversely Isotropic Generalized Thermoelastic Medium with Green-Naghdi Model II

10.20855/ijav.2018.23.31053 ◽

2018 ◽

Vol 23 (No 3, September 2018) ◽

pp. 294-301

Author(s):

Inrahim A. Abbas ◽

Mohamed I. A. Othman

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Numerical Solutions ◽

Generalized Thermoelasticity ◽

Transversely Isotropic ◽

Element Formulation ◽

Eigenvalue Approach ◽

Thermoelastic Medium ◽

Mode Method ◽

Generalized Thermoelastic

In this paper, a comparison was made between the analytical and numerical solution of a two-dimensional problem for a transversely isotropic generalized thermoelastic medium. The study is carried out in the context of generalized thermoelasticity proposed by Green and Naghdi’s theory of type II. The problem has been solved analytically using the normal mode method with the eigenvalue approach and numerically using a finite element method. The accuracy of the finite element formulation was validated by comparing the analytical and numerical solutions for the field quantities.

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