Why develop twice? Integration of continuum mechanical material models in Peridynamics

Abstract

To harvest the full potential of the peridynamic approach, the state‐of‐the‐art material models should be usable without redeveloping or reimplementing them from classical continuum mechanics theory. User materials (UMAT) in finite element codes allow the researchers or engineers to apply their own material routines. Simple interfaces are specified to allow the utilization of material behaviors in software. In order to use these already existing and often validated models with Peridynamics, a UMAT interface is presented. It allows the simplified use of already existing material routines in the peridynamic framework Peridigm. The interface is based on the finite element (FE) software Abaqus UMAT definition and allows the integration of Fortran routines directly into Peridigm. In addition, the same material model implementations are applicable in finite element applications as well as peridynamic simulations. In the presentation, the interface is presented and various material models are utilized and compared between Peridynamics and FE methods. The effect of the horizon and nonlocal boundaries are analyzed and discussed.