Abstract
The analysis of stress singularity in the vicinity of singular points is basically made by two approaches. The first approach involves construction of solutions satisfying homogeneous equations and homogeneous boundary conditions for the regions incorporating singular points [1–5]. The second approach uses Mellin’s transformation and the residue theory [6–9]. These approaches were applied to examine singularity in the vicinity of singular points practically in all situations arising in two-dimensional regions of isotropic materials. They were also effective in studying the stress singularity at the wedge edges in three-dimensional problems, which can be generally reduced to the analysis of the plane-strained state and the analysis of the antiplane strain [3,9].
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Matveyenko, V.P., Borzenkov, S.M., Minakova, S.G. (1999). Method of Numerical Analysis of Stress Singularity at Singular Points In Two- and Three-Dimensional Bodies. In: Durban, D., Pearson, J.R.A. (eds) IUTAM Symposium on Non-linear Singularities in Deformation and Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4736-1_21
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DOI: https://doi.org/10.1007/978-94-011-4736-1_21
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