The kinematics of continua and the concept of connection on classical space-time

Kadianakis, ND

dc.contributor.author	Kadianakis, ND	en
dc.date.accessioned	2014-03-01T01:12:23Z
dc.date.available	2014-03-01T01:12:23Z
dc.date.issued	1996	en
dc.identifier.issn	0020-7225	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12091
dc.subject	Continuum Mechanics	en
dc.subject	4 dimensional	en
dc.subject	Space Time	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.other	MECHANICS	en
dc.title	The kinematics of continua and the concept of connection on classical space-time	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0020-7225(95)00099-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0020-7225(95)00099-2	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	The 4-dimensional classical space-time manifold has often been used for frame independent formulations of continuum mechanics. The geometric concept of connection defined on it is used mainly for the representation of dynamical concepts. In this paper we present a kinematical interpretation of the connection. We classify the set of motions of continua according to their relative kinematical quantities, and the set of compatible connections on space-time in a similar way. Then we show that a connection may be considered as a specific class of continuous motions.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Engineering Science	en
dc.identifier.doi	10.1016/0020-7225(95)00099-2	en
dc.identifier.isi	ISI:A1996TV67000004	en
dc.identifier.volume	34	en
dc.identifier.issue	3	en
dc.identifier.spage	289	en
dc.identifier.epage	298	en