Two-Dimensional Generalized Magneto-Thermo-Viscoelasticity Problem for a Spherical Cavity with One Relaxation Time Using Fractional Derivative

Year 2022, Volume: 25 Issue: 2, 89 - 97, 01.06.2022

Satish Khavale , Kishor Gaikwad

https://doi.org/10.5541/ijot.1035396

Cited By: 3

Abstract

The present paper is aimed to studying the two-dimensional generalised magneto-thermo-viscoelasticity problem for a spherical cavity with one relaxation time using fractional derivative. The formulation is applied to generalised thermoelasticity based on the theory of generalised thermoelastic diffusion with one relaxation time. The spherical cavity of the solid surface is assumed to be traction free and subjected to both heating and an external magnetic field. The Laplace transform technique is used to obtain the general solution. The inverse Laplace transform is carried out using a numerical inversion method based. The temperature, displacement, and stresses are obtained and represented graphically with the help of Mathcad software.

Keywords

Fractional order, spherical cavity, electromagnetic field, magneto-thermo-viscoelasticity

Supporting Institution

Chhatrapati Shahu Maharaj Research, Training and Human Development Institute (SARTHI).

Project Number

CMSRF - 2019

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