Abstract
We present a new formulation of a peridynamic model for brittle fracture that incorporates a properly defined bond-breaking rule which leads to a dynamic system of time-dependent differential integral equations having both spatial nonlocal/nonlinear interactions and temporal memory/history dependence. The dynamic system is shown to be well-posed through rigorous mathematical analysis. Its effectiveness in simulating crack propagation in a two dimensional brittle material is also demonstrated.
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