Abstract
There are certain features of the stress analysis of cracked solids that distinguish these problems from others to which B.I.E. methods have been applied. The most significant feature is that for a slit crack in a homogeneous elastic medium the stress field at such a sharp crack tip may be singular (the stress going to infinity like r-½ with r measured from the crack tip). Accurate boundary element modelling is required to obtain reliable numerical results. More complicated stress and displacement fields occur in composite bodies when cracks meet interfaces between different materials or lie along such interfaces. Some discussion of these singularities can be found in the review Atkinson (1979) where reference to a large literature is also given. A recent account of B.I.E. and its application to fracture mechanics can be found in Atkinson (1983).
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© 1984 Martinus Nijhoff Publishers, Dordrecht
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Atkinson, C. (1984). Fracture Mechanics Stress Analysis I (Bie for Crack Tip Stress Analysis). In: Brebbia, C.A. (eds) Boundary Element Techniques in Computer-Aided Engineering. NATO ASI Series, vol 84. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6192-0_20
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DOI: https://doi.org/10.1007/978-94-009-6192-0_20
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