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2023-06-29Zeitschriftenartikel DOI: 10.18452/28522
Geometry of Needle-Like Microstructures in Shape-Memory Alloys
dc.contributor.authorConti, Sergio
dc.contributor.authorLenz, Martin
dc.contributor.authorRumpf, Martin
dc.contributor.authorVerhülsdonk, Jan
dc.contributor.authorZwicknagl, Barbara
dc.date.accessioned2024-04-17T15:06:28Z
dc.date.available2024-04-17T15:06:28Z
dc.date.issued2023-06-29none
dc.identifier.urihttp://edoc.hu-berlin.de/18452/29152
dc.description.abstractNeedle-like microstructures are often observed in shape memory alloys near macro-interfaces that separate regions with different laminate orientation. We study their shape with a two-dimensional model based on nonlinear elasticity, that contains an explicit parametrization of the needle profiles. Energy minimization leads to specific predictions for the geometry of needle-like domains. Our simulations are based on shape optimization of the needle interfaces, using a polyconvex energy density with cubic symmetry for the elastic problem, and a numerical implementation via finite elements on a dynamically changing grid.eng
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectMartensiteeng
dc.subjectNeedle microstructureseng
dc.subjectShape optimizationeng
dc.subjectFinite elasticityeng
dc.subjectCubic anisotropyeng
dc.subject.ddc620 Ingenieurwissenschaften und zugeordnete Tätigkeitennone
dc.titleGeometry of Needle-Like Microstructures in Shape-Memory Alloysnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/29152-1
dc.identifier.doihttp://dx.doi.org/10.18452/28522
dc.type.versionpublishedVersionnone
local.edoc.pages10none
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
dc.description.versionPeer Reviewednone
dc.identifier.eissn2199-3858
dcterms.bibliographicCitation.doi10.1007/s40830-023-00442-0
dcterms.bibliographicCitation.journaltitleShape memory and superelasticitynone
dcterms.bibliographicCitation.volume9none
dcterms.bibliographicCitation.issue3none
dcterms.bibliographicCitation.originalpublishernameSpringernone
dcterms.bibliographicCitation.originalpublisherplaceNew York, NY [u.a.]none
dcterms.bibliographicCitation.pagestart437none
dcterms.bibliographicCitation.pageend446none
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

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