Ad hoc exact solutions for the stress and velocity fields in rigid perfectly plastic materials under plane-stress conditions

Panayotounakos, DE; Andriotaki-Panayotounakou, P; Papandonopoulos, G

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Andriotaki-Panayotounakou, P	en
dc.contributor.author	Papandonopoulos, G	en
dc.date.accessioned	2014-03-01T01:14:22Z
dc.date.available	2014-03-01T01:14:22Z
dc.date.issued	1999	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13025
dc.subject	Ad hoc analytical solutions	en
dc.subject	Perfectly plastic	en
dc.subject	Rigid	en
dc.subject.classification	Mechanics	en
dc.title	Ad hoc exact solutions for the stress and velocity fields in rigid perfectly plastic materials under plane-stress conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7462(98)00002-X	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7462(98)00002-X	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	Making use of convenient and original ad hoc assumptions we construct closed-form solutions for the problem of stress and velocity states in statically determinate rigid, perfectly plastic materials under plane-stress conditions. The obtained solutions are expressed implicitly including arbitrary functions. For the stresses they are extracted by means of the two equilibrium linear PDEs and the appropriate strongly non-linear von Mises-Hencky condition; for the velocities we use the Saint Venant-von Mises theory of plasticity PDEs. Finally, an application concerning the analytical derivation of the stress state, the lines of discontinuity and the limiting load for an obtuse wedge under lateral normal pressure on one side is developed. The advantage of the proposed analytical solution methodology compared to the technique of characteristics is the general applicability delivering from the a priori construction of the slip-lines, as well as the demanded numerical solutions of the corresponding equations of characteristics. (C) 1998 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/S0020-7462(98)00002-X	en
dc.identifier.isi	ISI:000076460200008	en
dc.identifier.volume	34	en
dc.identifier.issue	1	en
dc.identifier.spage	71	en
dc.identifier.epage	84	en