Computational shape optimisation for a gradient-enhanced continuum damage model

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dc.contributor.authorGuhr, Fabian
dc.contributor.authorSprave, Leon
dc.contributor.authorBarthold, Franz-Joseph
dc.contributor.authorMenzel, Andreas
dc.date.accessioned2021-06-21T10:52:40Z
dc.date.available2021-06-21T10:52:40Z
dc.date.issued2020-01-28
dc.description.abstractAn isotropic gradient-enhanced damage model is applied to shape optimisation in order to establish a computational optimal design framework in view of optimal damage distributions. The model is derived from a free Helmholtz energy density enriched by the damage gradient contribution. The Karush–Kuhn–Tucker conditions are solved on a global finite element level by means of a Fischer–Burmeister function. This approach eliminates the necessity of introducing a local variable, leaving only the global set of equations to be iteratively solved. The necessary steps for the numerical implementation in the sense of the finite element method are established. The underlying theory as well as the algorithmic treatment of shape optimisation are derived in the context of a variational framework. Based on a particular finite deformation constitutive model, representative numerical examples are discussed with a focus on and application to damage optimised designs.en
dc.identifier.urihttp://hdl.handle.net/2003/40272
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22145
dc.language.isoende
dc.relation.ispartofseriesComput Mech;65
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectNon-local damageen
dc.subjectGradient enhanced modelen
dc.subjectLarge deformationen
dc.subjectShape optimisationen
dc.subjectSensitivity analysisen
dc.subject.ddc690
dc.titleComputational shape optimisation for a gradient-enhanced continuum damage modelen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationGuhr, F., Sprave, L., Barthold, FJ. et al. Computational shape optimisation for a gradient-enhanced continuum damage model. Comput Mech 65, 1105–1124 (2020)de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1007/s00466-019-01810-3de

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