Analytical solutions of mixed mode plane strain crack problems in elastic perfectly plastic materials

Panayotounakos, DE; Markakis, M

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Markakis, M	en
dc.date.accessioned	2014-03-01T01:08:15Z
dc.date.available	2014-03-01T01:08:15Z
dc.date.issued	1991	en
dc.identifier.issn	0749-6419	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10370
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026392763&partnerID=40&md5=d53e6d9e4a28ae5270e108dc5be44add	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Mathematical Techniques--Nonlinear Equations	en
dc.subject.other	Stresses--Calculations	en
dc.subject.other	Crack Tip	en
dc.subject.other	Plain Strain	en
dc.subject.other	Solids	en
dc.title	Analytical solutions of mixed mode plane strain crack problems in elastic perfectly plastic materials	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	In the present paper analytical solutions concerning the stress state at the tip of a crack in an elastic-perfectly plastic body, subjected to mixed mode loadings under plane strain conditions, are presented. Analytical solutions of the nonlinear ordinary differential equations are obtained and the dominant singularity is completely determined with the aid of suitable boundary conditions. The obtained results are in perfect agreement with those given by other investigators, both analytical and numerical. The novel aspect here is the methodology used for the solution, as well as the direct determination of the plastic zones. As a consequence, the resulting analytical solutions cover many more problems in the mathematical theory of plasticity compared to similar existing methods and they may be proved of importance in various applications. © 1992.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Plasticity	en
dc.identifier.isi	ISI:A1991HH83400007	en
dc.identifier.volume	7	en
dc.identifier.issue	8	en
dc.identifier.spage	847	en
dc.identifier.epage	863	en