On the evaluation of stress intensity factors for a simple crack under parametric loading

Ioakimidis, NI; Anastasselos, GT

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselos, GT	en
dc.date.accessioned	2014-03-01T01:10:00Z
dc.date.available	2014-03-01T01:10:00Z
dc.date.issued	1994	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11291
dc.subject	Stress Intensity Factor	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Algebra	en
dc.subject.other	Crack propagation	en
dc.subject.other	Differential equations	en
dc.subject.other	Elasticity	en
dc.subject.other	Integration	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical models	en
dc.subject.other	Stress analysis	en
dc.subject.other	Structural loads	en
dc.subject.other	Structures (built objects)	en
dc.subject.other	Tensile testing	en
dc.subject.other	Plane isotropic elasticity	en
dc.subject.other	Stress intensity factors	en
dc.subject.other	Symmetric tensile loading	en
dc.subject.other	Transcendental functions	en
dc.subject.other	Structural analysis	en
dc.title	On the evaluation of stress intensity factors for a simple crack under parametric loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7949(05)80019-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7949(05)80019-7	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	Two analytical approaches for the evaluation of stress intensity factors at the tips of a single straight crack in plane isotropic elasticity under symmetric tensile loading along the crack edges including a parameter are considered. The first method leads to an ordinary differential equation for the stress intensity factor (or to a system of such equations) with respect to the loading parameter, whereas the second method leads to closed-form results for the related integral by using Laplace transform techniques. Several elementary transcendental functions, such as the exponential function, were used in the loading distribution for an illustration of the present approaches and related results are presented. The computer algebra system Maple V was also used together with Gröbner bases (for the derivation of the differential equations) and with definite integration (for the derivation of the closed-form formulae). © 1994 Elsevier Science Ltd.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/S0045-7949(05)80019-7	en
dc.identifier.isi	ISI:A1994NY72000019	en
dc.identifier.volume	51	en
dc.identifier.issue	6	en
dc.identifier.spage	791	en
dc.identifier.epage	794	en