The equivalent through-crack model for the surface part-through crack

Theocaris, PS; Wu, DL

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Wu, DL	en
dc.date.accessioned	2014-03-01T01:06:42Z
dc.date.available	2014-03-01T01:06:42Z
dc.date.issued	1986	en
dc.identifier.issn	00015970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9566
dc.subject	Boundary Condition	en
dc.subject	Integral Equation	en
dc.subject	Power Function	en
dc.subject	Stress Distribution	en
dc.subject	Stress Intensity Factor	en
dc.subject	Three Dimensional	en
dc.title	The equivalent through-crack model for the surface part-through crack	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01181662	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01181662	en
heal.publicationDate	1986	en
heal.abstract	The three-dimensional problem of a surface part-through cracked plate is reduced to a two-dimensional problem by introducing an equivalent through-crack model, loaded by a convenient tension and bending stress distribution along the lips of the crack. The principle of the model is based on a similar idea as in the line-spring model, introduced by Rice and Levy [1]. In this model the singularities existing at the extremities of the surface lips of the part-through crack on the near face of the plate, indicated by experiments, were taken into account, whereas, in the line-spring model these extremities were considered as free. According to this model the effect of the surface part-through crack was replaced by a continuous distribution of forces N(x, 0) and moments M(x, 0) along the near-face crack lips applied to an equivalent through crack. These forces and moments were represented by power functions completely determining the boundary conditions along the crack. In this way the two-dimensional problem, derived from the model, can be readily reduced to a well-known Hilbert problem yielding integral equations containing the functions expressing the N(x, 0)- and M(x, 0)-distributions along the length of the crack. These equations were solved by an approximate numerical procedure. From this solution the expressions of stress- and displacement-fields for the surface part-through crack may be evaluated, expressed in terms of the distribution of the stress intensity factor function calculated along the whole front of the equivalent through crack. © 1986 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01181662	en
dc.identifier.volume	59	en
dc.identifier.issue	3-4	en
dc.identifier.spage	157	en
dc.identifier.epage	181	en