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EN
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.
2
Content available remote The effect of surface elasticity on a Mode-III interface crack
EN
We study the contribution of surface elasticity to the anti-plane deformations of a linearly elastic bi-material with Mode-III interface crack. The surface elasticity is incorporated using a version of the continuum-based surface/interface model of Gurtin and Murdoch. We obtain a complete semi-analytic solution valid throughout the solid (including the crack tips) via a Cauchy singular, integro-differential equation of the first kind. Our solution demonstrates that the surface elasticity on the crack face leads to finite stresses at the crack tips and stress discontinuities across the material interface.
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