Magneto Thermo-Elasticity in Rotating Functionally Graded Shell

Abstract

Introduction: This study describes the magneto-thermo-elastic behavior of a rotational functionally graded material (FGM) shell comprising composite materials under the combined effects of magnetic, thermal, and mechanical loads. The research address how do functionally graded material (FGM) shell response under the influence of magnetic, thermal, and mechanical loads, and what are the effects of various material parameters on their mechanical responses. T he goal of this research paper is to analyze a magneto- thermo-elastic theoretical solution for functionally graded material (FGM) shell under magnetic, thermal, and mechanical loads, enhancing the understanding of their mechanical responses. It aims to provide support for practical engineering applications in diverse fields such as aerospace and electronics. The study determine the mechanical responses of an FGM shell under magnetic, thermal, and mechanical loads are significantly influenced by material parameters such as thermal expansion coefficient [4], volume fraction [3], and Poisson’s ratio [3]. The Voigt method [3]is used to analyze the stress-strain relation, and the results are compared with existing research by setting values for some parameters, simplifying the analysis to coupled loads.The findings provide valuable insights for the design and optimization of GM tubes [3] in applications subjected to combined magnetic, thermal,and mechanical loads, offering support for improved performance and reliability.

Objectives: Magneto- Thermo elasticity use to analyze the behavior of material and analyze the changes on material with the temperature changes, magnetic field and temporary deformation. I t includes concept of electromagnetism, thermodynamics and elasticity to analyze the behavior of materials in different-different applications

Methods: In the modelling of composite material in Rotating Functionally Graded Shell. It is less complex method to evaluate the equivalent the material parameter of a composite material made up of two or more different materials.In Voigt method [3], composite material act as individual material property distributed uniformly. Each material contribute the overall property according to its volume fraction.

Results: It formulates a mathematical equation for identify the relationship between nonlinear thermo elastic and effect of arious controlling parameter on dynamics.Voigt method [3] use for evaluate the equivalent material parameter of a Rotating Functionally Graded Shell in the presence of magnetic, mechanical, thermal conditions.

Conclusions: The critical role of Poisson’s ratio in determining the stress distribution within functionally graded thick-walled tubes under various load conditions. Notably, radial stress exhibits considerable variation across the tube’s radius, with the greatest  difference observed  at  the  mid-radius. Poisson’s ratio  notably  influences circumferential and axial stresses, particularly near the inner radius, with axial stress displaying a significant variation between the inner and outer radii.