Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.1364
DC FieldValueLanguage
dc.contributor.authorHusser, Edgar-
dc.contributor.authorBargmann, Swantje-
dc.date.accessioned2017-04-03T08:41:08Z-
dc.date.available2017-04-03T08:41:08Z-
dc.date.issued2017-03-16-
dc.identifier.citationThe Role of Geometrically Necessary Dislocations in Cantilever Beam Bending Experiments of Single Crystals. Materials 2017, 10, 289.de_DE
dc.identifier.urihttp://tubdok.tub.tuhh.de/handle/11420/1367-
dc.description.abstractThe mechanical behavior of single crystalline, micro-sized copper is investigated in the context of cantilever beam bending experiments. Particular focus is on the role of geometrically necessary dislocations (GNDs) during bending-dominated load conditions and their impact on the characteristic bending size effect. Three different sample sizes are considered in this work with main variation in thickness. A gradient extended crystal plasticity model is presented and applied in a three-dimensional finite-element (FE) framework considering slip system-based edge and screw components of the dislocation density vector. The underlying mathematical model contains non-standard evolution equations for GNDs, crystal-specific interaction relations, and higher-order boundary conditions. Moreover, two element formulations are examined and compared with respect to size-independent as well as size-dependent bending behavior. The first formulation is based on a linear interpolation of the displacement and the GND density field together with a full integration scheme whereas the second is based on a mixed interpolation scheme. While the GND density fields are treated equivalently, the displacement field is interpolated quadratically in combination with a reduced integration scheme. Computational results indicate that GND storage in small cantilever beams strongly influences the evolution of statistically stored dislocations (SSDs) and, hence, the distribution of the total dislocation density. As a particular example, the mechanical bending behavior in the case of a physically motivated limitation of GND storage is studied. The resulting impact on the mechanical bending response as well as on the predicted size effect is analyzed. Obtained results are discussed and related to experimental findings from the literature.en
dc.language.isoende_DE
dc.relation.ispartofMaterialsde_DE
dc.rightsCC BY 4.0de_DE
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.subjectcantilever beam bendingde_DE
dc.subjectsize effectde_DE
dc.subjectgeometrically necessary dislocationsde_DE
dc.subjectcrystal plasticityde_DE
dc.subjectfinite element methodde_DE
dc.subject.ddc620: Ingenieurwissenschaftende_DE
dc.titleThe role of geometrically necessary dislocations in cantilever beam bending experiments of single crystalsde_DE
dc.typeArticlede_DE
dc.identifier.urnurn:nbn:de:gbv:830-88215649-
dc.identifier.doi10.15480/882.1364-
dc.type.diniarticle-
dc.subject.ddccode620-
dcterms.DCMITypeText-
tuhh.identifier.urnurn:nbn:de:gbv:830-88215649de_DE
tuhh.oai.showtruede_DE
dc.identifier.hdl11420/1367-
tuhh.abstract.englishThe mechanical behavior of single crystalline, micro-sized copper is investigated in the context of cantilever beam bending experiments. Particular focus is on the role of geometrically necessary dislocations (GNDs) during bending-dominated load conditions and their impact on the characteristic bending size effect. Three different sample sizes are considered in this work with main variation in thickness. A gradient extended crystal plasticity model is presented and applied in a three-dimensional finite-element (FE) framework considering slip system-based edge and screw components of the dislocation density vector. The underlying mathematical model contains non-standard evolution equations for GNDs, crystal-specific interaction relations, and higher-order boundary conditions. Moreover, two element formulations are examined and compared with respect to size-independent as well as size-dependent bending behavior. The first formulation is based on a linear interpolation of the displacement and the GND density field together with a full integration scheme whereas the second is based on a mixed interpolation scheme. While the GND density fields are treated equivalently, the displacement field is interpolated quadratically in combination with a reduced integration scheme. Computational results indicate that GND storage in small cantilever beams strongly influences the evolution of statistically stored dislocations (SSDs) and, hence, the distribution of the total dislocation density. As a particular example, the mechanical bending behavior in the case of a physically motivated limitation of GND storage is studied. The resulting impact on the mechanical bending response as well as on the predicted size effect is analyzed. Obtained results are discussed and related to experimental findings from the literature.de_DE
tuhh.relation.ispartofMaterialsde
tuhh.publisher.doi10.3390/ma10030289-
tuhh.publication.instituteKontinuums- und Werkstoffmechanik M-15de_DE
tuhh.identifier.doi10.15480/882.1364-
tuhh.type.opus(wissenschaftlicher) Artikel-
tuhh.institute.germanKontinuums- und Werkstoffmechanik M-15de
tuhh.institute.englishKontinuums- und Werkstoffmechanik M-15de_DE
tuhh.gvk.hasppnfalse-
tuhh.hasurnfalse-
openaire.rightsinfo:eu-repo/semantics/openAccessde_DE
dc.type.driverarticle-
dc.rights.ccbyde_DE
dc.rights.ccversion4.0de_DE
dc.type.casraiJournal Article-
dc.relation.projectOpen Access Publizieren 2016 - 2017 / Technische Universität Hamburg-Harburgde_DE
dc.rights.nationallicensefalsede_DE
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.creatorGNDHusser, Edgar-
item.creatorGNDBargmann, Swantje-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.creatorOrcidHusser, Edgar-
item.creatorOrcidBargmann, Swantje-
item.openairetypeArticle-
item.grantfulltextopen-
crisitem.author.deptKontinuums- und Werkstoffmechanik M-15-
crisitem.author.deptKontinuums- und Werkstoffmechanik M-15-
crisitem.author.orcid0000-0001-7403-7066-
crisitem.author.parentorgStudiendekanat Maschinenbau-
crisitem.author.parentorgStudiendekanat Maschinenbau-
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