Magneto-thermodynamic Stress Analysis of an Orthotropic Solid Cylinder by Fractional Order Theory Application

Abstract

This study presents the Magneto-thermodynamic Response of Orthotropic Solid Cylinder in context of fractional order theory. The Laplace transform and finite Marchi–Zgrablich transform techniques have been used to analyze the thermal behavior of solid cylinder. The Magneto-thermodynamic stresses and perturbation of magnetic field vector in finite orthotropic cylinder are obtained in the transformed domain under sudden temperature change to a constant temperature and permeated by uniform primary magnetic field. Numerical computed results of stresses and perturbation of magnetic field vector are depicted graphically for Caputo type time fractional equation of order α along radial direction. Some particular cases are also discussed in the context of the problem.

Keywords: Magneto-thermodynamic, Laplace transform, Marchi–Zgrablich transform, stresses, Solid Cylinder

Cite this Article

N.L. Khobragade, N.K. Lamba. Magneto-thermodynamic Stress Analysis of an Orthotropic Solid Cylinder by Fractional Order Theory Application. Research & Reviews: Journal of Physics. 2019; 8(1): 34–42p.