Transient responses of generalized magnetothermoelasto-diffusive problems with rotation using Laplace transform–finite element method

ABSTRACT

This article is mainly devoted to the transient response analysis of generalized magnetothermoelasto-diffusive problems with rotation in the context of the generalized thermoelastic diffusion theory. Due to the complexity of governing equations, Laplace transform–finite element method is applied to solve them. As a numerical example, a thermally and electrically conducting rotating half-space whose surface is subjected to a zonal time-dependent thermal and chemical shock is investigated. The transient responses, i.e., dimensionless temperature, chemical potential, displacement as well as stresses, are obtained and illustrated graphically. The parametric studies are performed to evaluate the rotation effect on the transient magnetothermoelasto-diffusive responses.

KEYWORDS:

• Generalized magnetothermoselasto-diffusive problems
• generalized thermoelastic diffusion theory
• Laplace transform–finite element method
• rotation effect
• transient responses