Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method

We present a new approach based on local partition of unity extended meshfree Galerkin method for modeling quasi-static crack growth in two-dimensional (2D) elastic solids. The approach utilizing the local partition of unity as a priori knowledge on the solutions of the boundary value problems that can be added into the approximation spaces of the numerical solutions. It thus allows for extending the standard basis functions by enriching the...