Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain-hardening exponent

Panayotounakos, DE; Markakis, M

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Markakis, M	en
dc.date.accessioned	2014-03-01T01:07:50Z
dc.date.available	2014-03-01T01:07:50Z
dc.date.issued	1990	en
dc.identifier.issn	0020-1154	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10193
dc.subject	Closed Form Solution	en
dc.subject	Differential Equation	en
dc.subject	Fracture Mechanic	en
dc.subject	Large Classes	en
dc.subject	Linear Differential Equation	en
dc.subject	Strain Hardening	en
dc.subject	Higher Order	en
dc.subject	Power Law	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Fracture Mechanics	en
dc.subject.other	Mathematical Techniques--Differential Equations	en
dc.subject.other	Plasticity	en
dc.subject.other	Strain	en
dc.subject.other	Stresses--Analysis	en
dc.subject.other	Low Strain-Hardening Exponent	en
dc.subject.other	Plastic Fracture Field	en
dc.subject.other	Power-Law Hardening Material	en
dc.subject.other	Rice-Rosengren Equations	en
dc.subject.other	Materials	en
dc.title	Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain-hardening exponent	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00531255	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00531255	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	In this paper closed form solutions for the evaluation of the stress and strain-fields are estimated for a power-law hardening, plastically incompressible material, cracked under plane-strain conditions. A convenient decoupling methodology, concerning a strongly non-linear ordinary differential system given by Rice and Rosengren [1], leads to a modified higher-order non-linear differential equation which for the case of low strain-hardening behaviour, using appropriate analytical treatments, is integrated in a closed form. Applications of the derived solutions for low hardening exponents yield results which are in excellent agreement with those derived numerically by other investigators. The solutions obtained herein cover a large class of problems in the mathematical theory of plasticity and fracture mechanics, and may be proved powerful in application . © 1990 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Ingenieur-Archiv	en
dc.identifier.doi	10.1007/BF00531255	en
dc.identifier.isi	ISI:A1990EF39600003	en
dc.identifier.volume	60	en
dc.identifier.issue	7	en
dc.identifier.spage	444	en
dc.identifier.epage	462	en