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Article: A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions

TitleA new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions
Authors
Issue Date2015
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijplas
Citation
International Journal of Plasticity, 2015, v. 67, p. 1-25 How to Cite?
AbstractCurrent strategies of computational crystal plasticity that focus on individual atoms or dislocations are impractical for real-scale, large-strain problems even with today’s computing power. Dislocation-density based approaches are a way forward but a critical issue to address is a realistic description of the interactions between dislocations. In this paper, a new scheme for computational dynamics of dislocation-density functions is proposed, which takes full consideration of the mutual elastic interactions between dislocations based on the Hirth–Lothe formulation. Other features considered include (i) the continuity nature of the movements of dislocation densities, (ii) forest hardening, (iii) generation according to high spatial gradients in dislocation densities, and (iv) annihilation. Numerical implementation by the finite-volume method, which is well suited for flow problems with high gradients, is discussed. Numerical examples performed for a single-crystal aluminum model show typical strength anisotropy behavior comparable to experimental observations. Furthermore, a detailed case study on small-scale crystal plasticity successfully captures a number of key experimental features, including power-law relation between strength and size, low dislocation storage and jerky deformation.
Persistent Identifierhttp://hdl.handle.net/10722/207244
ISSN
2015 Impact Factor: 5.623
2015 SCImago Journal Rankings: 4.694

 

DC FieldValueLanguage
dc.contributor.authorLeung, HS-
dc.contributor.authorLeung, PSS-
dc.contributor.authorCheng, BQ-
dc.contributor.authorNgan, AHW-
dc.date.accessioned2014-12-19T09:33:36Z-
dc.date.available2014-12-19T09:33:36Z-
dc.date.issued2015-
dc.identifier.citationInternational Journal of Plasticity, 2015, v. 67, p. 1-25-
dc.identifier.issn0749-6419-
dc.identifier.urihttp://hdl.handle.net/10722/207244-
dc.description.abstractCurrent strategies of computational crystal plasticity that focus on individual atoms or dislocations are impractical for real-scale, large-strain problems even with today’s computing power. Dislocation-density based approaches are a way forward but a critical issue to address is a realistic description of the interactions between dislocations. In this paper, a new scheme for computational dynamics of dislocation-density functions is proposed, which takes full consideration of the mutual elastic interactions between dislocations based on the Hirth–Lothe formulation. Other features considered include (i) the continuity nature of the movements of dislocation densities, (ii) forest hardening, (iii) generation according to high spatial gradients in dislocation densities, and (iv) annihilation. Numerical implementation by the finite-volume method, which is well suited for flow problems with high gradients, is discussed. Numerical examples performed for a single-crystal aluminum model show typical strength anisotropy behavior comparable to experimental observations. Furthermore, a detailed case study on small-scale crystal plasticity successfully captures a number of key experimental features, including power-law relation between strength and size, low dislocation storage and jerky deformation.-
dc.languageeng-
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijplas-
dc.relation.ispartofInternational Journal of Plasticity-
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Plasticity. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Plasticity, 2015, v. 67, p. 1-25. DOI: 10.1016/j.ijplas.2014.09.009-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleA new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions-
dc.typeArticle-
dc.identifier.emailNgan, AHW: hwngan@hkucc.hku.hk-
dc.identifier.authorityNgan, AHW=rp00225en_US
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.ijplas.2014.09.009-
dc.identifier.scopuseid_2-s2.0-84908389461-
dc.identifier.hkuros241777-
dc.identifier.volume67-
dc.identifier.spage1-
dc.identifier.epage25-
dc.publisher.placeUnited Kingdom-

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