Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis

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dc.contributor.authorKijanski, Wojciech
dc.contributor.authorBarthold, Franz-Joseph
dc.date.accessioned2021-04-30T05:45:36Z
dc.date.available2021-04-30T05:45:36Z
dc.date.issued2021-03-06
dc.description.abstractThis contribution presents a theoretical and computational framework for two-scale shape optimisation of nonlinear elastic structures. Particularly, minimum compliance optimisation problems with composite (matrix-inclusion) microstructures subjected to static loads and volume-type design constraints are focused. A homogenisation-based FE2 scheme is extended by an enhanced formulation of variational (shape) sensitivity analysis based on Noll’s intrinsic, frame-free formulation of continuum mechanics. The obtained overall two-scale sensitivity information couples shape variations across micro- and macroscopic scales. A numerical example demonstrates the capabilities of the proposed variational sensitivity analysis and the (shape) optimisation framework. The investigations involve a mesh morphing scheme for the design parametrisation at both macro- and microscopic scales.en
dc.identifier.urihttp://hdl.handle.net/2003/40166
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22038
dc.language.isoende
dc.relation.ispartofseriesComput Mech;67
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectFEMen
dc.subjectNumerical multiscale methods (FE2) and homogenisationen
dc.subjectTwo-scale structural analysisen
dc.subjectVariational sensitivity analysisen
dc.subjectStructural optimisationen
dc.subjectShape optimisationen
dc.subject.ddc690
dc.titleTwo-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysisen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationKijanski, W., Barthold, FJ. Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis. Comput Mech 67, 1021–1040 (2021).de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1007/s00466-020-01955-6de

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