A closed-form solution for the stress field in a rigid-perfectly plastic material under plane-strain conditions

Panayotounakos, DE; Andrianopoulos, NP

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Andrianopoulos, NP	en
dc.date.accessioned	2014-03-01T01:07:20Z
dc.date.available	2014-03-01T01:07:20Z
dc.date.issued	1989	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9937
dc.subject	Closed Form Solution	en
dc.subject	Partial Differential Equation	en
dc.subject	Stress Field	en
dc.subject	Second Order	en
dc.subject.classification	Mechanics	en
dc.subject.other	Mathematical Techniques--Differential Equations	en
dc.subject.other	Plasticity--Theory	en
dc.subject.other	Stresses--Analysis	en
dc.subject.other	Mises-Hencky Equation	en
dc.subject.other	Monge Equation	en
dc.subject.other	Plane Deformations	en
dc.subject.other	Stress Components	en
dc.subject.other	Yield Condition	en
dc.subject.other	Fracture Mechanics	en
dc.title	A closed-form solution for the stress field in a rigid-perfectly plastic material under plane-strain conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01178329	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01178329	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	A closed-form solution of the problem of the stress-evaluation in a rigid-perfectly plastic material under plane-strain conditions is presented. The solution is derived from the nonlinear partial differential system consisted of the equations of stress-equilibrium and an appropriate yield condition, in the present case the von Mises-Hencky one. The decoupling of the above system leads to a second order partial differential equation of the Monge type, a closed-form solution of which is obtained. © 1989 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01178329	en
dc.identifier.isi	ISI:A1989U632600012	en
dc.identifier.volume	77	en
dc.identifier.issue	3-4	en
dc.identifier.spage	307	en
dc.identifier.epage	313	en