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dc.contributor.authorTupek, Michael Ronne
dc.contributor.authorRadovitzky, Raul A
dc.date.accessioned2017-04-26T18:48:22Z
dc.date.available2017-04-26T18:48:22Z
dc.date.issued2014-01
dc.date.submitted2013-10
dc.identifier.issn0022-5096
dc.identifier.urihttp://hdl.handle.net/1721.1/108426
dc.description.abstractAn extension of the constitutive correspondence framework of peridynamics is proposed. The main motivation is to address unphysical deformation modes which are shown to be permitted in the original constitutive formulation. The specific problem of matter interpenetration observed in numerical discretizations of peridynamics has usually been treated by adding short-range forces between neighboring particles in the discretization. Here, we propose a solution that is rooted directly within the nonlocal theory. The basic approach is to introduce generalized nonlocal peridynamic strain tensors based on corresponding bond-level Seth–Hill strain measures which inherently avoid violations of the matter interpenetration constraint. Several analytic examples are used to show that the modified theory avoids issues of matter interpenetration in cases where the original theory fails. The resulting extended constitutive correspondence framework supports general classic constitutive laws as originally intended and is also shown to be ordinary.en_US
dc.description.sponsorshipMassachusetts Institute of Technology. Institute for Soldier Nanotechnologies ( DAAD-19-02-D-0002)en_US
dc.description.sponsorshipUnited States. Office of Naval Research (N00014-07-1-0764)en_US
dc.language.isoen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jmps.2013.12.012en_US
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs Licenseen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.sourceProf. Radovitzky via Barbara Williamsen_US
dc.titleAn extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measuresen_US
dc.typeArticleen_US
dc.identifier.citationTupek, M.R. and Radovitzky, R. "An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures." Journal of the Mechanics and Physics of Solids 65 (April 2014): 82-92. © 2014 Elsevier Ltden_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Aeronautics and Astronauticsen_US
dc.contributor.approverRadovitzky, Raul Aen_US
dc.contributor.mitauthorTupek, Michael Ronne
dc.contributor.mitauthorRadovitzky, Raul A
dc.relation.journalJournal of the Mechanics and Physics of Solidsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsTupek, M.R.; Radovitzky, R.en_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-6339-2708
mit.licensePUBLISHER_CCen_US
mit.metadata.statusComplete


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