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Crystal plasticity model of shear and kink bands-energetic approach
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SYSNO ASEP 0346416 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Crystal plasticity model of shear and kink bands-energetic approach Author(s) Kratochvíl, J. (CZ)
Kružík, Martin (UTIA-B) RID, ORCID
Sedláček, R. (DE)Source Title Philosophical Magazine. - : Taylor & Francis - ISSN 1478-6435
Roč. 90, č. 27 (2010), s. 3729-3742Number of pages 14 s. Language eng - English Country GB - United Kingdom Keywords crystal plasticity ; kink bands-energetic approach Subject RIV BM - Solid Matter Physics ; Magnetism R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000280819300006 DOI 10.1080/14786430903449411 Annotation We present a continuum crystal plasticity model of a lamellar deformation substructure of shear and kink bands. An evolutionary problem for the development of a spontaneous structural inhomogeneity is formulated in the framework of energetic solutions. Conti and Theil proved that in the case of an isothermal single-slip crystal, rigid plasticity with no hardening lamellaea form an optimal microstructure. Moreover, their model predicts the existence of a boundary layer which accommodates the lamellar substructure to displacement boundary conditions. It is suggested that the width of the shear and kink bands is a compromise: the minimization of bulk energy tends to decrease their size, while the energy of the band interfaces or the inner structure of the bands opposes this tendency. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2011
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