Application of the Green and the Rayleigh-Green reciprocal identities to path-independent integrals in two- and three-dimensional elasticity

Ioakimidis, NI; Anastasselou, EG

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:09:18Z
dc.date.available	2014-03-01T01:09:18Z
dc.date.issued	1993	en
dc.identifier.issn	00015970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10886
dc.subject	General Methods	en
dc.subject	Harmonic Function	en
dc.subject	Stress Intensity Factor	en
dc.subject	Three Dimensional	en
dc.title	Application of the Green and the Rayleigh-Green reciprocal identities to path-independent integrals in two- and three-dimensional elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01174296	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01174296	en
heal.publicationDate	1993	en
heal.abstract	An elementary but quite general method for the construction of path-independent integrals in plane and three-dimensional elasticity is suggested. This approach consists simply in using the classical Green formula in its reciprocal form for harmonic functions and, further, the more general Rayleigh-Green formula also in its reciprocal form, but for biharmonic functions. A large number of harmonic and biharmonic functions appears in a natural way in the theory of elasticity. Therefore, the construction of path-independent integrals (or, probably better, surface-independent integrals in the three-dimensional case) becomes really a trivial task. An application to the determination of stress intensity factors at crack tips is considered in detail and only the sum of the principal stress components is used in the path-independent integral. Further applications of the method are easily possible. © 1993 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01174296	en
dc.identifier.volume	98	en
dc.identifier.issue	1-4	en
dc.identifier.spage	99	en
dc.identifier.epage	106	en