Plastic spin: Necessity or redundancy?

Dafalias, YF

dc.contributor.author	Dafalias, YF	en
dc.date.accessioned	2014-03-01T01:14:03Z
dc.date.available	2014-03-01T01:14:03Z
dc.date.issued	1998	en
dc.identifier.issn	0749-6419	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12841
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032291386&partnerID=40&md5=f6b3a9415a1afa7fa53d9828791b7843	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Anisotropy	en
dc.subject.other	Mathematical models	en
dc.subject.other	Plastic deformation	en
dc.subject.other	Strain	en
dc.subject.other	Plastic spin concept	en
dc.subject.other	Elastoplasticity	en
dc.title	Plastic spin: Necessity or redundancy?	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	The plastic spin concept in large deformation anisotropic elastoplasticity theories with tensorial internal variables, is proved to be a necessary constitutive ingredient. Different inaccurate notions about the plastic spin are dispelled, and its presence in the theory is demystified as something very simple and straightforward. To this extent it is necessary to disassociate the plastic spin concept and the conjugate notion of constitutive spin from the foundation of kinematics, which caused confusion in the past, and define it only in relation to the constitutive equations of evolution of the tensorial internal variables. There, the plastic spin is related to the orientation aspect of such constitutive equations, and the multiplicity of the different internal Variables suggests the necessity to have a different spin for each variable. In the process, a straightforward constitutive framework is developed which is based on classical hyperelasticity, yield criteria and invariance requirements of the constitutive functions under superposed rigid body rotation. Ad-hoc assumptions about stress corotational or convected rates and other fuzzy suggestions for different spins are not part of this development. Other topics such as the concept and simplifying effect of the spinless unstressed configuration and its comparison with the isoclinic configuration, some computational aspects, and the effect of small elastic strains are discussed, and all along the significance of plastic spin in the different equations is evaluated. (C) 1998 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Plasticity	en
dc.identifier.isi	ISI:000077577800005	en
dc.identifier.volume	14	en
dc.identifier.issue	9	en
dc.identifier.spage	909	en
dc.identifier.epage	931	en