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

Panayotounakos, DE

dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:11:39Z
dc.date.available	2014-03-01T01:11:39Z
dc.date.issued	1996	en
dc.identifier.issn	0749-6419	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11760
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Plasticity	en
dc.subject.other	Problem solving	en
dc.subject.other	Strain	en
dc.subject.other	Stress concentration	en
dc.subject.other	Velocity	en
dc.subject.other	Ad Hoc exact solutions	en
dc.subject.other	Incompressibility	en
dc.subject.other	Plane stress conditions	en
dc.subject.other	Saint Venant-Von Mises theory	en
dc.subject.other	Von Mises Hencky condition	en
dc.subject.other	Plastics	en
dc.title	Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0749-6419(96)00042-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0749-6419(96)00042-3	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	Making use of convenient ad hoc assumptions we construct analytical and closed-form solutions for the problem of stress and velocity states in statically determinate rigid, perfectly plastic bodies under plane-strain conditions. The obtained solutions are expressed either implicitly including arbitrary functions, or explicitly in the form of specific functions. For the stresses they are extracted by means of the two equilibrium partial differential equations (PDEs) and the appropriate von Mises-Hencky condition; for the velocities we use the Saint Venant-von Mises theory of plasticity PDEs and the condition of incompressibility. The possibility of extending the developed solution technique for plane stress conditions is presented. Finally, several applications concerning the inverse, semi-inverse and direct problems are examined. 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. Copyright (C) 1996 Elsevier Science Ltd	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Plasticity	en
dc.identifier.doi	10.1016/S0749-6419(96)00042-3	en
dc.identifier.isi	ISI:A1996WE15300006	en
dc.identifier.volume	12	en
dc.identifier.issue	8	en
dc.identifier.spage	1069	en
dc.identifier.epage	1109	en