Rate-independent gradient-enhanced crystal plasticity theory—robust algorithmic formulations based on incremental energy minimization

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dc.contributor.authorMosler, Jörn
dc.contributor.authorFohrmeister, Volker
dc.date.accessioned2024-11-07T08:29:40Z
dc.date.available2024-11-07T08:29:40Z
dc.date.issued2023-12-16
dc.description.abstractNumerically robust algorithmic formulations suitable for rate-independent crystal plasticity are presented. They cover classic local models as well as gradient-enhanced theories in which the gradients of the plastic slips are incorporated by means of the micromorphic approach. The elaborated algorithmic formulations rely on the underlying variational structure of (associative) crystal plasticity. To be more precise and in line with socalled variational constitutive updates or incremental energy minimization principles, an incrementally defined energy derived from the underlying time-continuous constitutive model represents the starting point of the novel numerically robust algorithmic formulations. This incrementally defined potential allows to compute all variables jointly as minimizers of this energy. While such discrete variational constitutive updates are not new in general, they are considered here in order to employ powerful techniques from non-linear constrained optimization theory in order to compute robustly the aforementioned minimizers. The analyzed prototype models are based on (1) nonlinear complementarity problem (NCP) functions as well as on (2) the augmented Lagrangian formulation. Numerical experiments show the numerical robustness of the resulting algorithmic formulations. Furthermore, it is shown that the novel algorithmic ideas can also be integrated into classic, non-variational, return-mapping schemes.en
dc.identifier.urihttp://hdl.handle.net/2003/42734
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-24566
dc.language.isoen
dc.relation.ispartofseriesInternational Journal of Solids and Structures; 288
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCrystal plasticity theoryen
dc.subjectmicromorphic approachen
dc.subjectvariational constitutive updatesen
dc.subjectincremental energy minimizationen
dc.subjectaugmented Lagrangianen
dc.subjectnonlinear complementarity problemen
dc.subject.ddc620
dc.subject.ddc670
dc.subject.rswkPlastizitätstheoriede
dc.subject.rswkNCP-Funktionende
dc.subject.rswkLagrange-Funktionde
dc.subject.rswkKomplementaritätsproblemde
dc.subject.rswkNumerische Mathematikde
dc.subject.rswkAlgorithmusde
dc.titleRate-independent gradient-enhanced crystal plasticity theory—robust algorithmic formulations based on incremental energy minimizationen
dc.typeText
dc.type.publicationtypeArticle
dcterms.accessRightsopen access
eldorado.secondarypublicationtrue
eldorado.secondarypublication.primarycitationFohrmeister, V. and Mosler, J. (2023) ‘Rate-independent gradient-enhanced crystal plasticity theory: robust algorithmic formulations based on incremental energy minimization’, International journal of solids and structures, 288. Available at: https://doi.org/10.1016/j.ijsolstr.2023.112622en
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1016/j.ijsolstr.2023.112622

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