Peridynamic Petrov-Galerkin Method

The flexibility of meshless methods in dealing with varying discontinuities and phases makes them attractive for the simulation of various engineering applications. Peridynamics is a integro-differential formulation of the momentum equation, which is widely used for modeling fractures based on non-local material models. The usage of local material models from classical continuum mechanics theory is enforced by a correspondence formulation. This approach is accompanied by the drawback of low-energy modes which result in spurious oscillations. In this project, the Peridynamic Petrov-Galerkin (PPG) method is developed, that provides a generalized correspondence formulation which is free of low-energy modes without the use of unphysical corrections.