Closed-form solutions of the nonlinear partial differential equations governing plane rigid perfect plasticity problems by ad hoc assumptions

Panayotounakos, DE; Andrianopoulos, NP; Boulougouris, VC

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Andrianopoulos, NP	en
dc.contributor.author	Boulougouris, VC	en
dc.date.accessioned	2014-03-01T01:21:59Z
dc.date.available	2014-03-01T01:21:59Z
dc.date.issued	2005	en
dc.identifier.issn	0033-5614	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16426
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Rigidity	en
dc.subject.other	Abel equation	en
dc.subject.other	Nonlinear partial differential equations	en
dc.subject.other	Plane rigid perfect plasticity	en
dc.subject.other	Plasticity	en
dc.title	Closed-form solutions of the nonlinear partial differential equations governing plane rigid perfect plasticity problems by ad hoc assumptions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/qjmam/hbi029	en
heal.identifier.secondary	http://dx.doi.org/10.1093/qjmam/hbi029	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	Closed-form solutions, including arbitrary functions, of the system of nonlinear partial differential equations in plane rigid perfect plasticity are extracted. This system is reduced to a strongly nonlinear ordinary differential equation which brings, to the solution of the Abel equation of the second kind, exact analytic solutions examples of which were recently constructed. The stress and strain-velocity fields are given and an example for an obtuse wedge under unilateral, uniformly distributed load, under plane-stress conditions, is described indicating that the present method can treat problems yet unsolved. The stress field is described analytically and results for the limiting load are analogous to the classical Prandtl formula. © The Author 2005. Published by Oxford University Press; all rights reserved.	en
heal.publisher	OXFORD UNIV PRESS	en
heal.journalName	Quarterly Journal of Mechanics and Applied Mathematics	en
dc.identifier.doi	10.1093/qjmam/hbi029	en
dc.identifier.isi	ISI:000233842800009	en
dc.identifier.volume	58	en
dc.identifier.issue	4	en
dc.identifier.spage	665	en
dc.identifier.epage	682	en