Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Analysis of Yield Threshold in a Functionally Graded Variable Thickness Rotating Disc Using the Tresca Yield Criterion

Version 1 : Received: 11 January 2024 / Approved: 12 January 2024 / Online: 12 January 2024 (12:41:17 CET)

How to cite: khoonbani, S.; Ramezanian, H. Analysis of Yield Threshold in a Functionally Graded Variable Thickness Rotating Disc Using the Tresca Yield Criterion. Preprints 2024, 2024011020. https://doi.org/10.20944/preprints202401.1020.v1 khoonbani, S.; Ramezanian, H. Analysis of Yield Threshold in a Functionally Graded Variable Thickness Rotating Disc Using the Tresca Yield Criterion. Preprints 2024, 2024011020. https://doi.org/10.20944/preprints202401.1020.v1

Abstract

The present article investigates the threshold analysis of yielding in a variable thickness rotating disk based on the Tresca criterion. The analysis is conducted on a Functionally Graded Material (FGM) constructed from tailored materials, following the theory of small deformations and for the case of plane stress. The elasticity modulus, density, and yield stress are assumed to be power functions of the radial coordinate. Poisson’s ratio is considered constant due to small variations in different materials. Additionally, the governing equation for the rotating disk is solved analytically. Besides the material type, another factor affecting the distribution of effective stress magnitudes is the cross-sectional shape (profile) of the disk. The thickness of the cross-sectional disk varies radially as a power function. In the current analysis, different conditions for the onset of yielding and the evolution of plastic flow are considered. For evaluation and validation, the obtained results are compared and validated against similar results for specific cases (homogeneous disk and constant thickness graded disk) available in previous references. The results indicate that considering variable thickness for the disk section significantly affects the stresses and the location of the initiation of yielding

Keywords

Yield Threshold; Variable Thickness; Rotating Disk; Tresca Criterion; Yield Stress; Plastic Flow

Subject

Engineering, Mechanical Engineering

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