The plane wedge problem loaded at its apex - The self-similarity property and the characteristic vector

Theotokoglou, EE; Stampouloglou, IH

dc.contributor.author	Theotokoglou, EE	en
dc.contributor.author	Stampouloglou, IH	en
dc.date.accessioned	2014-03-01T01:21:38Z
dc.date.available	2014-03-01T01:21:38Z
dc.date.issued	2004	en
dc.identifier.issn	0374-3535	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16281
dc.subject	Anisotropic angular inhomogeneous wedge	en
dc.subject	Characteristic vector	en
dc.subject	Involution	en
dc.subject	Multi-material isotropic wedge	en
dc.subject	Plane elasticity	en
dc.subject	Self-similarity property	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Anisotropy	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Problem solving	en
dc.subject.other	Stress analysis	en
dc.subject.other	Vectors	en
dc.subject.other	Anisotropic angular inhomogeneous wedge	en
dc.subject.other	Characteristic vectors	en
dc.subject.other	Involution	en
dc.subject.other	Multi-material isotropic wedge	en
dc.subject.other	Plane elasticity	en
dc.subject.other	Self-similarity property	en
dc.subject.other	Elasticity	en
dc.title	The plane wedge problem loaded at its apex - The self-similarity property and the characteristic vector	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10659-004-0044-0	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10659-004-0044-0	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In the present paper the elastostatic problem of a generally anisotropic and angularly inhomogeneous plane wedge loaded at its apex by a concentrated force, is studied in linear elasticity. At first the self-similarity property is formulated and the stress field of the inhomogeneous anisotropic self-similar wedge problem, is deduced. The wedge is radially separated and the plane wedge problem is reformulated by the introduction of a characteristic vector. Furthermore, the angular distribution of the load is determined. The multi-material wedge problem in terms of a formulation based on the isotropic angularly inhomogeneous wedge, is confronted, and necessary conditions that ensure the self-similarity property, are found. Finally, the ""similar"" elastostatic wedge problems and the involution between stresses, are studied. © Springer 2005.	en
heal.publisher	SPRINGER	en
heal.journalName	Journal of Elasticity	en
dc.identifier.doi	10.1007/s10659-004-0044-0	en
dc.identifier.isi	ISI:000227275200002	en
dc.identifier.volume	76	en
dc.identifier.issue	1	en
dc.identifier.spage	21	en
dc.identifier.epage	43	en