Convected time derivatives in continuum mechanics

Appleby, PG; Kadianakis, N

dc.contributor.author	Appleby, PG	en
dc.contributor.author	Kadianakis, N	en
dc.date.accessioned	2014-03-01T01:07:06Z
dc.date.available	2014-03-01T01:07:06Z
dc.date.issued	1988	en
dc.identifier.issn	0369-3554	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9797
dc.subject	02.20	en
dc.subject	02.40	en
dc.subject	03.40	en
dc.subject	Classical mechanics of continuous media: general mathematical aspects	en
dc.subject	differential geometry and topology	en
dc.subject	Geometry	en
dc.subject	Group theory	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.title	Convected time derivatives in continuum mechanics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02725618	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02725618	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	In this work we develop a frame-independent approach to the notion of convected derivation, and give a systematic classification of these derivatives in terms of an absolute vorticity and deformation rate in classical space-time. In the case of derivatives following a motion we distinguish between intrinsic and extrinsic convected derivatives. A link is established between the class of convected derivatives and the class of affine connections on classical space-time compatible with its metric structure. © 1988 Società Italiana di Fisica.	en
heal.publisher	Società Italiana di Fisica	en
heal.journalName	Il Nuovo Cimento B Series 11	en
dc.identifier.doi	10.1007/BF02725618	en
dc.identifier.isi	ISI:A1988T793600004	en
dc.identifier.volume	102	en
dc.identifier.issue	6	en
dc.identifier.spage	593	en
dc.identifier.epage	608	en