Eigenvalue Approach on Generalized Thermoelastic Interactions of a Layer

Abstract

The unified form of the basic equations of generalized thermoelastic interactions for Lord Shulman (LS) and Green Lindsay (GL) models for a layer have been written in the form of a vector matrix differential equation and solved by the eigen value approach technique in the Laplace transform domain in a closed form. The inversions of the physical variables from the transformed domain have been made by using Zakian algorithm for the numerical inversion from the Laplace transform domain. Graphs for the physical variables have been presented for different cases and the results are compared with the existing literature.

Thermoelastic Analysis of Circular and Rectangular Objects with Moving Heat Source: A Review of Recent Literature

“…Plots were made of the time-established temperature, radial displacement, radial pressure, and hoop strain. Gangopadhyaya and Das [85] researched an analytical solution for an annular disc's axisymmetric one-dimensional thermomechanical response. The fundamental equations had been formulated as a vector matrix differential equation in the Laplace transforms domain, and the eigenvalue method had been utilised to find the solutions to them.…”