Plane Strain Fracture with Surface Mechanics: Non-Local Boundary Regularization

Abstract eng:
The subject of this talk is a classical fracture problem: a single, finite plane strain crack subjected to combined mode I (out-ofplane) and mode II (in-plane shear) loading in the setting of linearized elasticity. It is now well understood that the square-root crack-tip singularities in stress and strain predicted by the classical solution can be removed by augmenting the boundary value problem with a highergradient surface mechanics model. However, naive implementation of the resulting boundary condition into standard weak formulations leads to unstable numerical algorithms. It is shown that the boundary value problem can be reformulated using non-local boundary operators to produce a numerically stable weak formulation.

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