The directional instability of the running crack: A deterministic and stochastic approach

Michopoulos, JG; Theocaris, PS

dc.contributor.author	Michopoulos, JG	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:08:34Z
dc.date.available	2014-03-01T01:08:34Z
dc.date.issued	1991	en
dc.identifier.issn	0020-7225	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10579
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0025846473&partnerID=40&md5=125e1c5d9c0991d210a799caeb3fef28	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.other	DYNAMIC FRACTURE	en
dc.subject.other	PROPAGATION	en
dc.subject.other	ENERGY	en
dc.subject.other	CRITERION	en
dc.subject.other	BIFURCATION	en
dc.subject.other	EXTENSION	en
dc.subject.other	SPECIMEN	en
dc.subject.other	ARREST	en
dc.title	The directional instability of the running crack: A deterministic and stochastic approach	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	The concept of the ""equivalent crack particle"" has been introduced in the present paper, in order to model both the deterministic aspects of the propagating crack in a perfect continuum, as well as the stochastic ones due to the micromechanical characteristics of the real materials. The Langevin equations of motion and the corresponding Fokker-Planck equation, were derived for the modeled and natural systems. It was shown that crack curving and branching can be derived as intrinsic analytical properties of the equilibrium dynamics of the crack system. A quantitative calibration of the model was proposed, consistent to the experimental data criteria, and the micromechanical descriptions of the dynamic fracture process introduced by previous investigators, are simultaneously satisfied. As a result, a single criterion is proposed, which predicts simultaneously the location and the angle of the occurrence of the directional instability with both deterministic and stochastic properties being incorporated. © 1991.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Engineering Science	en
dc.identifier.isi	ISI:A1991ET07000002	en
dc.identifier.volume	29	en
dc.identifier.issue	1	en
dc.identifier.spage	13	en
dc.identifier.epage	36	en