Abstract

Abstract In this research paper, displacement, stresses and strains are presented for rotating FGM disk with variable thickness by using finite element method (FEM). Thermo-elastic material properties and thickness of FGM disk continuously vary as exponential and power law function in radial direction along radius of disk. The value of Poisson's ratio is taken as constant. The problem of thermo-elasticity is converted into second order governing differential equation in terms of radial coordinate. This conversion is based upon equilibrium equation for disk and stress-strain relationship. The influence of variable thickness, angular velocity and functionally graded materials is discussed on thermo-elastic characteristics of rotating disk for exponential variation of material properties. Further, these thermo-elastic characteristics of disk are plotted for various values of non-homogeneity parameter under power law distribution of material properties. Thus, the investigations done in this research paper may be useful for industrial area in construction an appropriate FGM disk by controlling above mentioned parameters.

Highlights

  • Graded materials are a new class of composites that are known as multifunctional materials due to their spatial variation composition

  • Garg [26] carried out elastic stress and strain in rotating FGM disk for di erent values of thickness gradation index under variable material properties in radial direction

  • Thermo-elastic characteristics analysis is made for di erent material properties pro les in rotating disk which is constructed from FGM material

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Summary

Introduction

Graded materials are a new class of composites that are known as multifunctional materials due to their spatial variation composition. Calliogue et al [20] made elastic-plastic stress analysis in functionally graded rotating disk from analytical and numerical solution for di erent values of angular velocities under radially varying material properties. Abrinia et al [31] assumed material properties varying along thickness as power law function to obtained radial and circumferential stress in FGM cylinder under internal pressure and temperature. A stress eld in FGM isotropic and anistropic cylinder under internal pressure and uniform heat generation for di erent values of gradient index, is represented These disks are modelled under variety of thermo-mechanical properties to extend our published work [41,42,43,44,45].

Finite element formulation
Numerical results and discussions
Conclusion

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