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Stress intensity factors of Brazilian disc rotating about diameter

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Abstract

Thin circular disc rotating about in-plane diametral axis is considered for 2-D stress analysis, as it may be found as flipped coin or Euler disc. Centrifugal force on different points of the rotating disc causes stress distribution resulting in high tensile stress on the diametral axis of rotation, which is confirmed by stress analysis. So, a centre-crack along the rotation axis in the disc would be loaded in pure opening mode. A centre-crack inclined to rotation axis would be loaded in mixed-mode I-II. Stress intensity factors (SIFs, \({K}_{I}\ \&\ {K}_{II}\)) are found for various combinations of crack length and crack inclination using finite element method (FEM). SIFs increase monotonically leading to singularity as crack length approaches diameter. They vary sinusoidally with crack inclination. After modelling the singularity of normalized SIFs, sine functions of crack inclination are fit for non-singular part of each normalized SIF, in which simple polynomials of crack length enter as coefficients of sine function. Error between the fit and FEM data is close to zero, and percentage error for \( {K}_{II}\) vs crack inclination is found to be constant for given relative crack length.

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  1. Mechanical Engineering, IIT Palakkad, Palakkad, India

    Swapnil Singh & K. v. N. Surendra

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  1. Swapnil Singh
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Correspondence to Swapnil Singh.

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We state that there is no actual or potential conflict of interest in relation to this article. A preliminary work of this paper was presented in 5th INCAM (Indian Conference on Applied Mechanics) in Nov. 2022. Otherwise, this work is completely original, and no part of this work is under review in any other journal/publishing platform.

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Singh, S., Surendra, K.v.N. Stress intensity factors of Brazilian disc rotating about diameter. Int J Adv Eng Sci Appl Math 15, 187–195 (2023). https://doi.org/10.1007/s12572-023-00348-1

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