Abstract
This paper provides an analytical approach for obtaining bounds for stress concentration factors in the theory of axisymmetric torsion of circumferentially grooved shafts of revolution. The analysis is based on application of maximum principles for linear second-order elliptic partial differential equations. The particular case of a straight shaft with a semi-circular groove is considered in detail. Explicit estimates are obtained and compared with existing results for this problem.
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This work was supported by the National Science Foundation under Grants No. ENG 75-13643 and ENG 78-26071.
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Horgan, C.O. Maximum principles and bounds on stress concentration factors in the torsion of grooved shafts of revolution. J Elasticity 12, 281–291 (1982). https://doi.org/10.1007/BF00054959
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DOI: https://doi.org/10.1007/BF00054959