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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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
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author Rimoli, J.J.
Radovitzky, Raul A
Tupek, Michael Ronne
author2 Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
author_facet Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Rimoli, J.J.
Radovitzky, Raul A
Tupek, Michael Ronne
author_sort Rimoli, J.J.
collection MIT
description 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.
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spelling mit-1721.1/1080952022-09-29T23:28:56Z An approach for incorporating classical continuum damage models in state-based peridynamics Rimoli, J.J. Radovitzky, Raul A Tupek, Michael Ronne Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Radovitzky, Raul A Radovitzky, Raul A Tupek, Michael Ronne 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. United States. Office of Naval Research (N00014-07-1-0764) Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (DAAD-19-02-D-0002) 2017-04-13T13:36:11Z 2017-04-13T13:36:11Z 2013-05 2013-04 Article http://purl.org/eprint/type/JournalArticle 0045-7825 http://hdl.handle.net/1721.1/108095 Tupek, M.R.; Rimoli, J.J. and Radovitzky, R. “An Approach for Incorporating Classical Continuum Damage Models in State-Based Peridynamics.” Computer Methods in Applied Mechanics and Engineering 263 (August 2013): 20–26. © 2013 Elsevier B.V. https://orcid.org/0000-0001-6339-2708 en_US http://dx.doi.org/10.1016/j.cma.2013.04.012 Computer Methods in Applied Mechanics and Engineering Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier Prof. Radovitzky via Barbara Williams
spellingShingle Rimoli, J.J.
Radovitzky, Raul A
Tupek, Michael Ronne
An approach for incorporating classical continuum damage models in state-based peridynamics
title An approach for incorporating classical continuum damage models in state-based peridynamics
title_full An approach for incorporating classical continuum damage models in state-based peridynamics
title_fullStr An approach for incorporating classical continuum damage models in state-based peridynamics
title_full_unstemmed An approach for incorporating classical continuum damage models in state-based peridynamics
title_short An approach for incorporating classical continuum damage models in state-based peridynamics
title_sort approach for incorporating classical continuum damage models in state based peridynamics
url http://hdl.handle.net/1721.1/108095
https://orcid.org/0000-0001-6339-2708
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