On the equivalent order of crack-tip singularity defined by caustics

Theocaris, PS; Petrou, L

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Petrou, L	en
dc.date.accessioned	2014-03-01T01:06:56Z
dc.date.available	2014-03-01T01:06:56Z
dc.date.issued	1987	en
dc.identifier.issn	03769429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9687
dc.subject	Closed Form Solution	en
dc.subject	Exact Solution	en
dc.subject	Potential Function	en
dc.subject	Singular Solution	en
dc.subject	Stress Intensity Factor	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Curve Fitting	en
dc.subject.other	STRESSES - Evaluation	en
dc.subject.other	CAUSTIC GENERATRIX CURVE	en
dc.subject.other	CRACK-TIP SINGULARITY	en
dc.subject.other	INFINITE PLATE	en
dc.subject.other	STRESS INTENSITY FACTOR	en
dc.subject.other	PLATES	en
dc.title	On the equivalent order of crack-tip singularity defined by caustics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00276357	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00276357	en
heal.publicationDate	1987	en
heal.abstract	The problem of a transverse Griffith crack in an infinite plate submitted to simple tension at infinity was studied by using its closed form solution described by the elastic potential function φ{symbol}(z). The exact form of the caustic and its generatrix curve formed around the crack tips was exactly described by using the φ{symbol}(z)-function. These exact forms were compared with the respective forms given either by the singular one-term solution of the problem and accepting that the order of singularity at the crack tip is (1/2), or by a solution defining the order of singularity and the respective stress intensity factor by taking into consideration the influence of the distance from the crack tip where these quantities are evaluated. It was shown by comparing the first stress invariant I1, whose gradient defines the respective caustic, that the differences between the exact values and the values of I1 derived by the proposed method with variable order of singularity is much smaller than the differences between the exact solution and the singular solution. The singular solution is based on the assumption of a constant value of the order of singularity. © 1987 Martinus Nijhoff Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	International Journal of Fracture	en
dc.identifier.doi	10.1007/BF00276357	en
dc.identifier.volume	35	en
dc.identifier.issue	4	en
dc.identifier.spage	269	en
dc.identifier.epage	282	en