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3-D elastic stress singularity at polyhedral corner points

✍ Scribed by Evgeny Glushkov; Natalya Glushkova; Olga Lapina


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
617 KB
Volume
36
Category
Article
ISSN
0020-7683

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✦ Synopsis


The three!dimensional stress singularity at the top of an arbitrary polyhedral corner is considered[ Based on the boundary integral equations\ the problem is reduced by the Mellin transform to a system of certain one!dimensional integral equations[ The orders of stress singularity are spectral points of the integral operators while angular distribution and intensity factors are found as residues at those points[ Numerical results are obtained by means of the Galerkin discretization scheme using expansions in terms of orthogonal polynomials with the proper weights[ Some of the results illustrating the order|s dependence on the elastic properties and corner geometry for a wedge!shaped punch and a crack\ for an elastic trihedron and for a surface!breaking crack are given[ Þ 0887 Elsevier Science Ltd[ All rights reserved[ Corresponding author [ E!mail] evgÝkgu[kuban[su[


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Intensity of the stress singularity at t
✍ E.D. Reedy Jr πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 662 KB

A stress singularity of type Kr" (6 < 0) exists at the interface corner between bonded elastic quarter planes. The intensity of this stress singularity, referred to here as the free-edge stress intensity factory K,, characterizes the magnitude of the stress state in the region of the interface corne