# Generalized Magnetothermoelastic Interaction for a Rotating Half Space

## TL;DR

This paper investigates the complex interaction of magnetothermoelastic effects in a rotating, perfect conducting half space using Lord-Shulman theory, employing Laplace transforms and eigenvalue methods for solution.

## Contribution

It introduces a generalized model of magnetothermoelasticity in a rotating half space within Lord-Shulman theory, providing approximate solutions and analyzing continuity of physical quantities.

## Key findings

- Displacement solutions are continuous over the domain.
- Stress, temperature, magnetic, and electric fields exhibit discontinuities.
- Graphical analysis confirms the theoretical behavior of solutions.

## Abstract

A generalized magnetothermoelasticity, in the context of Lord-Shulman theory, is employed to investigate the interaction of a homogeneous and isotropic perfect conducting half space with rotation. The Laplace transform for time variable is used to formulate a vector-matrix differential equation which is then solved by eigenvalue method. The continuous solution of displacement component while the discontinuous solutions of stress components, temperature distribution, induced magnetic and electric field have been analyzed in an approximate manner using assymptotic expansion for small time. The graphical representations also prove this continuity and discontinuity of the solutions.