Hygro-Thermo-Elastic Creep Analysis of a Rotating Variable Thickness Multi-Layered Functionally Graded Disc with Weak Interlayer Bonding

Document Type : Original Research Paper

Authors

Department of Mechanical Engineering, University of Qom, Qom, Iran.

10.22084/jrstan.2025.30984.1268

Abstract

This article studies the time-dependent creep response of a rotating multilayered functionally graded disc with variable thickness and weak interlayer bonding, subjected to axisymmetric thermal and moisture fields and a constant magnetic field. The disk thickness and material coefficients are power functions dependent on the radius. Based on the constitutive stress–strain relations, the equilibrium formulation was developed to account for creep terms, and by initially eliminating the creep strain, the primitive stress and displacement fields were obtained analytically. Using Prandtl–Reuss relations for creep modeling, a complete analytical solution was formulated, and the rates of various parameters were evaluated. Lastly, an iterative technique was employed to track the time evolution of various field variables. The governing equations
for the static state were analytically solved to determine the initial values at zero time. Also, the creep evolution equations were solved analytically to obtain the corresponding rate of fields. Subsequently, first the initial response
was established, and then the time-dependent behavior at successive intervals was computed iteratively based on the evaluated rate of fields. The results highlight the significant influence of the grading index, imperfect bonding, angular velocity, hygrothermal loading, and magnetic field on the disc’s response.

Keywords

References

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Journal of Stress Analysis
Volume 9, Issue 1
2025
Pages 51-65

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