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Longitudinal Fracture Analysis of Nonlinear Elastic Circular Shafts Loaded in Torsion

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Strength of Materials Aims and scope

The longitudinal fracture of circular shafts loaded in torsion is analytically investigated. It is assumed that a longitudinal crack with a circular crack front is arbitrarily located to the radial direction of the shaft cross section. The shafts are made of nonlinear elastic material, which exhibits continuous inhomogeneity in the radial direction. The material nonlinearity is described by the Ramberg–Osgood stress–strain relation. The longitudinal fracture is studied in terms of the strain energy release rate. The developed analysis is applied to evaluate the longitudinal fracture behavior of a clamped nonlinear elastic inhomogeneous shaft loaded in torsion by a torque applied to a free end of internal crack arm. For the method verification, the strain energy release rate is also assessed by analyzing the energy balance in the clamped shaft. A parametric study is performed to assess the effects of material inhomogeneity, its nonlinearity, and crack orientation to the shaft radial direction on the longitudinal fracture behavior of the clamped shaft.

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Authors and Affiliations

  1. Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria

    V. I. Rizov

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  1. V. I. Rizov
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Correspondence to V. I. Rizov.

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Translated from Problemy Prochnosti, No. 2, pp. 119 – 128, March – April, 2019.

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Rizov, V.I. Longitudinal Fracture Analysis of Nonlinear Elastic Circular Shafts Loaded in Torsion. Strength Mater 51, 271–279 (2019). https://doi.org/10.1007/s11223-019-00073-w

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  • DOI: https://doi.org/10.1007/s11223-019-00073-w

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