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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Elsevier
2017
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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. |
first_indexed | 2024-09-23T17:04:00Z |
format | Article |
id | mit-1721.1/108095 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T17:04:00Z |
publishDate | 2017 |
publisher | Elsevier |
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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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