Computation of brittle fracture propagation in strain gradient materials by the FEniCS library

dc.contributor.authorBarchiesi, Emilio
dc.contributor.authorYang, Hua
dc.contributor.authorTran, C. A.
dc.contributor.authorPlacidi, Luca
dc.contributor.authorMüller, Wolfgang H.
dc.date.accessioned2021-03-10T13:51:47Z
dc.date.available2021-03-10T13:51:47Z
dc.date.issued2021-03-01
dc.date.updated2021-03-06T00:29:00Z
dc.descriptionDieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.de
dc.descriptionThis publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.en
dc.description.abstractStrain gradient continuum damage modelling has been applied to quasistatic brittle fracture within an approach based on a maximum energy-release rate principle. The model was implemented numerically, making use of the FEniCS open-source library. The considered model introduces non-locality by taking into account the strain gradient in the deformation energy. This allows for stable computations of crack propagation in differently notched samples. The model can take wedges into account, so that fracture onset can occur at wedges. Owing to the absence of a damage gradient term in the dissipated energy, the normal part of the damage gradient is not constrained on boundaries. Thus, non-orthogonal and non-parallel intersections between cracks and boundaries can be observed.en
dc.identifier.eissn1741-3028
dc.identifier.issn1081-2865
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/12786
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-11586
dc.language.isoenen
dc.relation.ispartof10.14279/depositonce-12553en
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc620 Ingenieurwissenschaften und zugeordnete Tätigkeitende
dc.subject.otherstrain gradient elasticityen
dc.subject.otherbrittle fractureen
dc.subject.otherFEniCSen
dc.subject.othervariational principlesen
dc.subject.otherregularizationen
dc.titleComputation of brittle fracture propagation in strain gradient materials by the FEniCS libraryen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1177/1081286520954513en
dcterms.bibliographicCitation.issue3en
dcterms.bibliographicCitation.journaltitleMathematics and Mechanics of Solidsen
dcterms.bibliographicCitation.originalpublishernameSAGEen
dcterms.bibliographicCitation.originalpublisherplaceLondonen
dcterms.bibliographicCitation.pageend340en
dcterms.bibliographicCitation.pagestart325en
dcterms.bibliographicCitation.volume26en
tub.accessrights.dnbdomain*
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Mechanik::FG Kontinuumsmechanik und Materialtheoriede
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Kontinuumsmechanik und Materialtheoriede
tub.affiliation.instituteInst. Mechanikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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