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Effects of Boundary Reinforcement on Local Singular Fields in Linearly Elastic Materials

Peter Schiavone (University of Alberta), Chun Il Kim (University of California, Berkeley), Chong-Qing Ru (University of Alberta)

SES Medal Symposium in honor of D.J. Steigmann

Tue 4:20 - 5:40

MacMillan 115

We consider the local deformation near a point at the interface between free and fixed boundary segments in an elastic half-plane undergoing plane strain deformations. Using asymptotic analysis, we show that the addition of a reinforcement along the free boundary effectively eliminates the well-known oscillatory behavior of the displacement and stress fields in the vicinity of the point leading to a strong square-root stress singularity. In addition, we demonstrate that the reinforcement induces a deformation field which is smooth locally and bounded at the point of interest.