Fundamental solution of generalized magneto-thermo-viscoelasticity with two relaxation times for a perfect conductor cylindrical region

Abstract

The fundamental solution of generalized magneto thermo viscoelasticity (MTVE) with two relaxation times for perfect isotropic conduction is obtained. An infinitely long circular cylinder application has been studied. The solution is obtained by the potential method. In the transform domain Laplace and Hankel are used to obtain the solution. The inverse process is performed by asymptotic expansions appropriate for limited time values. Numerical results are displayed and graphically explained for the temperature and stress distributions. A comparison is made with the results obtained in the presence and absence of a magnetic field, for different values of time and for two theories (MTE and MTVE).

KEYWORDS:

• Viscosity
• generalized thermoelasticity
• two relaxation times
• fundamental solution
• Laplace and Hankel transform technique

Disclosure statement

No potential conflict of interest was reported by the author(s).