An approach for incorporating classical continuum damage models in state-based peridynamics

Peridynamics has gained significant attention as an alternative formulation for problems in solid mechanics. Recent contributions have included initial attempts to include material damage and failure. In this paper, we propose an approach to incorporate classical continuum damage models in the state...

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Bibliographic Details
Main Authors: Rimoli, J.J., Radovitzky, Raul A, Tupek, Michael Ronne
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:en_US
Published: Elsevier 2017
Online Access:http://hdl.handle.net/1721.1/108095
https://orcid.org/0000-0001-6339-2708
Description
Summary:Peridynamics has gained significant attention as an alternative formulation for problems in solid mechanics. Recent contributions have included initial attempts to include material damage and failure. In this paper, we propose an approach to incorporate classical continuum damage models in the state-based theory of peridynamics. This has the advantage of enabling the description of the damage evolution process in peridynamics according to well-established models. The approach is based on modifying the peridynamic influence function according to the state of accumulated damage. As a result, peridynamic bonds between nonlocal material points are severed in accordance with the damage law. The peridynamic damage formulation proposed is implemented for the particular case of a well established ductile damage model for metals. The model is applied to the simulation of ballistic impact of extruded corrugated aluminum panels and compared with experiments.