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Stress Concentration at Notches pp 113–136Cite as

Elastic Plane with Semi-infinite Notch and Cracks

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Abstract

Solutions to elasticity theory problem for elastic plane with a semi-infinite notch and cracks propagating from its tip find a wide application in fracture mechanics. Such solutions can be used as asymptotic approximations for respective finite regions with notches and small cracks. This class of solutions is useful in studying crack nucleation and propagation near stress concentrators under fatigue loading as well as developing fracture criteria for cracked bodies. This chapter is devoted to determining stress intensity factors for the straight crack growing from the semi-infinite notch tip in elastic plane. The relation between stress intensity factors in the sharp tip of V-notch and the crack tip had been derived.

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Authors and Affiliations

  1. Bialystok University of Technology, Wiejska45C,15-351, Bialystok, Poland

    Mykhaylo P. Savruk & Andrzej Kazberuk

  2. Karpenko Physico-Mechanical Institute of the National Academy of Sciences of Ukraine, 5 Naukova street, Lviv, 79060, Ukraine

    Mykhaylo P. Savruk

Authors
  1. Mykhaylo P. Savruk
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  2. Andrzej Kazberuk
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Correspondence to Mykhaylo P. Savruk .

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Savruk, M.P., Kazberuk, A. (2017). Elastic Plane with Semi-infinite Notch and Cracks. In: Stress Concentration at Notches. Springer, Cham. https://doi.org/10.1007/978-3-319-44555-7_3

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  • DOI: https://doi.org/10.1007/978-3-319-44555-7_3

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