2023/09/16 by Zinaida Zhuravlova, Zhuravlova, Zinaida, Igor Istenes +7
Engineering · Materials Science · #Classical Physics (physics.class-ph) #Elasticity and Wave Propagation #Engineering Diagnostics and Reliability #FOS: Physical sciences #Material Properties and Failure Mechanisms
paper · pdf · doi:10.48550/arxiv.2309.10828
openalex publication_date 2023/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the impact of a ring crack within a rotating hollow cylinder of fixed height under axisymmetric (torsion) loading. The form of the displacement is obtained from the equation of motion using the Fourier sin transform. The displacement jump over the crack is obtained from the boundary condition on the tangential stress, formulated as a singular integral equation which is solved by the method of orthogonal polynomials. The stress intensity factors on the opposing crack surfaces are calculated. The dependence of the crack extension on the problem geometry is investigated, including the impact of the crack's location, cylinder's height, torsion loading and rotation frequency. Possible extensions of the model to cover fatigue cracking are considered. A practical test to detect and locate cracks within a rotating cylinder is outlined.