On the incorporation of curvature effects into the isogeometric analysis of fibre-reinforced solids

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dc.contributor.authorWitt, Carina
dc.contributor.authorKaiser, Tobias
dc.contributor.authorMenzel, Andreas
dc.date.accessioned2022-03-18T11:48:01Z
dc.date.available2022-03-18T11:48:01Z
dc.date.issued2021-12-14
dc.description.abstractIn the context of engineering on the micro- and nanoscale, size-dependency is an important characteristic of material behaviour. In order to avoid complex experiments and predict size effects in simulations instead, classic continuum approaches are extended by the introduction of a length scale, e.g. through the consideration of gradient contributions. For the particular case of fibre-reinforced materials, such a gradient-enhanced approach can be achieved by introducing the fibre curvature as an additional kinematic quantity. This implies that basis functions with a global continuity higher than C0 are required for a finite element-based approach which accounts for these fibre curvature effects. The present contribution shows that the isogeometric finite element method can provide a framework for the simulation of the respective higher-gradient continua.en
dc.identifier.urihttp://hdl.handle.net/2003/40805
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22662
dc.language.isoende
dc.relation.ispartofseriesProceedings in applied mathematics and mechanics;21(1)
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/
dc.subject.ddc620
dc.subject.ddc670
dc.subject.rswkStoffeigenschaftde
dc.subject.rswkFaserverbundwerkstoffde
dc.subject.rswkFinite-Elemente-Methodede
dc.subject.rswkSimulationde
dc.subject.rswkBiegungde
dc.titleOn the incorporation of curvature effects into the isogeometric analysis of fibre-reinforced solidsen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationWitt, C., Kaiser, T. and Menzel, A. (2021), On the incorporation of curvature effects into the isogeometric analysis of fibre-reinforced solids. Proc. Appl. Math. Mech., 21: e202100185. https://doi.org/10.1002/pamm.202100185de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1002/pamm.202100185de

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