02 April, 2014
We introduce a framework that adapts local and non-local continuum models to simulate static fracture problems. Non-local models based on the peridynamic theory are promising for the simulation of fracture, as they allow discontinuities in the displacement
field. However, they remain computationally expensive. As an alternative, we develop an adaptive coupling technique based on the morphing method to restrict the non-local model adaptively during the evolution of the fracture. The rest of the structure
is described by local continuum mechanics. We conduct all simulations in three dimensions, using the relevant discretization scheme in each domain, i.e., the Discontinuous Galerkin Finite Element Method (DGFEM) in the peridynamic domain and the continuous
Finite Element Method (FEM) in the local continuum mechanics domain.
non-local elasticity, coupling, peridynamics, static fracture, DGFEM , anisotropy, morphing