Dynamic behavior of the orthotropic hollow cylinder under a magnetic field: a thermoelastic analysis

Abstract

The present article focuses on the complete analytical solution of an orthotropic hollow cylinder using a proposed magneto-thermoelastic model and finite Hankel transformation. The study considers the Lord–Shulman and Green–Lindsay models of hyperbolic generalized thermoelasticity within the context of thermoelasticity theory. The analytical expressions of the field variables of the cylinder in a magnetic field were obtained under thermo-mechanical loadings. The study also offered closed-form field functions and measured the thermoelastic behavior concerning the magnetic field intensity of the cylinder based on thermoelastic theories involving a second sound. The inclusion of hyperbolic-type heat conduction models enhanced the visualization of the reflection of thermal waves into the cylinder. The study also investigated the impacts of orthotropic material properties on the considered medium and compared the results with the existing literature.

KEYWORDS:

• Generalized magneto-thermoelasticity
• Green–Lindsay theory
• Lord–Shulman theory
• hyperbolic thermoelasticity
• thermal shock

Disclosure statement

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