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Problems of finding the stress distribution around circular-arc cracks in an infinite plate subjected to a uniform tensile load have been solved by using the complex variable theory [1]. The study was initiated by Muskhelishvili [2], and later, the formulae of the stress intensity factors were derived by Sih et al. [3]. Thereafter, a number of problems of various types of circular-arc cracks, including the inhomogeneous cases, have been published. The stress distribution in an infinite plate with a circular disk was investigated by Dundurs and Hctinyi [4]. The problems of curvilinear cracks in bonded dissimilar materials were studied by Perlman and Sih [5]. It was found that the stresses near the tips of a curved crack possess the same trig-log character of singularity as those obtained for a straight crack between dissimilar media. By using the boundary collocation method, Cheung et al. [6] obtained the stress intensity factors for a circular-arc crack in a...
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References
England AH (1971) Complex variable methods in elasticity. Wiley-Interscience, New York
Muskhclishvili NI (1953) Some basic problems of the mathematical theory of elasticity. Noordhoff, Gronongcn
Sih GC, Paris PC, Erdogan F (1962) Crack-tip stress-intensity factors for plane extension and bending problem. J Appl Mech 29:306–312
Dundurs J, Hctinyi M (1961) The elastic plane with a circular insert loaded by a radial force. J Appl Mech 28:103–111
Perlman AB, Sih GC (1967) Elastostatic problem for curvilinear cracks in bonded dissimilar materials. J Eng Sci 5:845–867
Cheung YK, Woo CW, Wang YH (1989) Stress Intensity factors for a circular arc crack by collocation method. Eng Fract Mech 34:841–849
Bogdanoff JL (1954) Note on thermal stress. J Appl Mech 21:88
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Chao, CK., Shen, M.H. (2009). Curvilinear Cracks. In: Hetnarski, R.B. (eds) Encyclopedia of Thermal Stresses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2739-7_134
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DOI: https://doi.org/10.1007/978-94-007-2739-7_134
Publisher Name: Springer, Dordrecht
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