Coupled Thermoelasticity of FGM Truncated Conical Shells

Document Type : Research Paper

Authors

1 M.Sc. Student, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran,

2 PhD Student, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

3 Corresponding author, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

Abstract

This article presents the coupled thermoelasticity of a truncated functionally
graded conical shell under thermal shock load. The classical
coupled thermoelasticity theory is employed to set the partial differential
equations of motion of the conical shell. The shell governing
equations are based on the first-order shear deformation shell theory
that accounts for the transverse shear strains and rotations. The solution
is obtained by transforming the governing equations into the
Laplace domain and using the Galerkin finite element method in the
Laplace domain to calculate the displacement components. The physical
displacement components in real time domain are obtained by
the numerical inversion of the Laplace transform. Temperature distribution
is assumed to be linear across the shell thickness. Radial
displacement, axial stress, axial force, and temperature versus time
are calculated and the effect of relaxation time and power law index
are examined. Comparison indicates that an increase in the radial vibration
amplitude and a decrease of vibration frequency occur when
changing the material from ceramic to metal. The results are validated
with the known data in the literature.

Keywords

Main Subjects

References

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Iranian Journal of Mechanical Engineering Transactions of the ISME
Volume 22, Issue 1 - Serial Number 36
Winter and Spring
March 2021
Pages 127-142

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