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A Criterion for Crack Initiation at Blunt Notches Based on the Concept of Local Strength

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Abstract

The paper considers the problem of strength of a linearly elastic body containing an artificial flaw of a definite size and shape, subjected to uniform loading. The following questions are formulated: What is the range of allowable dimensions of a flaw of a given shape, which will not lead to the reduction in the strength of a body? How much will be the strength reduction in case when the flaw dimensions exceed the allowable ones? The known nonlocal fracture criteria such as the average stress criterion, the point stress criterion, and the fictitious crack criterion can not be used for solving the linked problem of critical loading and critical size of a flaw stated above. To solve this problem the approach is suggested according to which the strength of a material in the stress concentration zone (local strength) is assumed to be dependent on its size. The corresponding fracture criterion is proposed. Some aspects connected with the application of the fracture criterion to two- and three-dimensional problems of solids strength are considered. The proposed fracture criterion is applied to estimating the strength of some members weakened by a notch of a different shape and size. The expressions for the local-strength function and the failure stress are obtained and good agreement is found between the results of calculations and known experimental data.

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Acknowledgments

The author gratefully acknowledges the financial support by the Russian Foundation for Basic Research through grant 18-05-00323.

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Correspondence to Sergey V. Suknev .

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Suknev, S.V. (2019). A Criterion for Crack Initiation at Blunt Notches Based on the Concept of Local Strength. In: Abdel Wahab, M. (eds) Proceedings of the 7th International Conference on Fracture Fatigue and Wear. FFW 2018. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-0411-8_5

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  • DOI: https://doi.org/10.1007/978-981-13-0411-8_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0410-1

  • Online ISBN: 978-981-13-0411-8

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