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The new contribution is the capability of the elastoplastic law to describe isotropic, kinematic and mixed hardening. The hardening formulations follow those available in the literature for classical elastoplasticity. The comparison between the results obtained with the peridynamic model and those obtained with a commercial FEM software shows that the two approaches are in good agreement. The extent of the plastic regions and von Mises stress computed with the new model for 2D and 3D examples match well those obtained with FEM-based solutions using ANSYS.<\/jats:p>","DOI":"10.1007\/s00366-024-01943-x","type":"journal-article","created":{"date-parts":[[2024,2,25]],"date-time":"2024-02-25T08:02:11Z","timestamp":1708848131000},"page":"2063-2082","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["Elastoplastic peridynamic formulation for materials with isotropic and kinematic hardening"],"prefix":"10.1007","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7684-3985","authenticated-orcid":false,"given":"Atefeh","family":"Pirzadeh","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Federico","family":"Dalla Barba","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Florin","family":"Bobaru","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lorenzo","family":"Sanavia","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mirco","family":"Zaccariotto","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ugo","family":"Galvanetto","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,2,25]]},"reference":[{"issue":"1","key":"1943_CR1","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1016\/j.jnnfm.2006.05.005","volume":"142","author":"C Ancey","year":"2007","unstructured":"Ancey C (2007) Plasticity and geophysical flows: a review. 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