Singularities and perturbations for far-field caustics in the neighborhood of a crack tip

Theocaris, PS; Lazopoulos, C

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Lazopoulos, C	en
dc.date.accessioned	2014-03-01T01:07:40Z
dc.date.available	2014-03-01T01:07:40Z
dc.date.issued	1989	en
dc.identifier.issn	00015970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10101
dc.subject	Variational Problem	en
dc.subject.other	Elasticity--Theory	en
dc.subject.other	Fracture Mechanics	en
dc.subject.other	Plasticity--Calculations	en
dc.subject.other	Plates--Crack Propagation	en
dc.subject.other	Crack Tip	en
dc.subject.other	Elastic Anisotropy	en
dc.subject.other	Stress Intensity Factor	en
dc.subject.other	Stresses	en
dc.title	Singularities and perturbations for far-field caustics in the neighborhood of a crack tip	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01178322	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01178322	en
heal.publicationDate	1989	en
heal.abstract	Adapting the principle of least time by Fermat, the farfield caustics around a crack tip were studied as a variational problem. The singular reflected rays were probed and classified using singularity theory; furthermore the singular directions were also defined. In addition, applying perturbation theory the stress intensity factor at a crack tip is evaluated, considering higher-order terms of the Muskhelishvili complex potential. It was shown that higher approximations can be achieved with this method from caustics engendered from initial curves of a larger than usual radius convenient for problems of plasticity and elastic anisotropy. © 1989 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01178322	en
dc.identifier.volume	77	en
dc.identifier.issue	3-4	en
dc.identifier.spage	197	en
dc.identifier.epage	212	en