Hygro-thermo-elastic creep analysis of a rotating variable thickness multi-layered functionally graded disc with weak interlayer bonding

Articles in Press

Document Type : Original Research Paper

Authors

1 Dep. of Mech. Eng., Univ. of Qom

2 mep. of Mech. eng. Univ. of Qom

3 Univ of Qom

10.22084/jrstan.2025.30984.1268

Abstract

This article studies the time-dependent creep response of a rotating multi-layered 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. Using the constitutive stress–strain relation, 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

Journal of Stress Analysis

Articles in Press, Accepted Manuscript
Available Online from 18 November 2025

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