The plane self-similar anisotropic and angularly inhomogeneous wedge under power law tractions and the asymptotic analysis of the stress field

Stampouloglou, IH; Theotokoglou, EE

dc.contributor.author	Stampouloglou, IH	en
dc.contributor.author	Theotokoglou, EE	en
dc.date.accessioned	2014-03-01T01:27:26Z
dc.date.available	2014-03-01T01:27:26Z
dc.date.issued	2007	en
dc.identifier.issn	0997-7538	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18449
dc.subject	Angularly inhomogeneous	en
dc.subject	Anisotropic	en
dc.subject	Asymptotic analysis	en
dc.subject	Isotropic	en
dc.subject	Ordinary differential equation	en
dc.subject	Plane linear elasticity	en
dc.subject	Power law tractions	en
dc.subject	Wedge	en
dc.subject.classification	Mechanics	en
dc.subject.other	Anisotropy	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Stress analysis	en
dc.subject.other	Angularly inhomogeneous	en
dc.subject.other	Anisotropic	en
dc.subject.other	Isotropic	en
dc.subject.other	Plane linear elasticity	en
dc.subject.other	Power law tractions	en
dc.subject.other	Wedges	en
dc.subject.other	Traction (friction)	en
dc.title	The plane self-similar anisotropic and angularly inhomogeneous wedge under power law tractions and the asymptotic analysis of the stress field	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.euromechsol.2006.02.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.euromechsol.2006.02.001	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this study the generally anisotropic and angularly inhomogeneous wedge, under power law tractions of order n of the radial coordinate r at its external faces is considered. At first, using variable separable relations in the equilibrium equations, the strain-stress relations and the strain compatibility equation, a differential system of equations is constructed and investigated. Decoupling this system, an ordinary differential equation is derived and the stress and displacement fields may be determined. The proposed procedure is also applied to the elastostatic problem of an isotropic and angularly inhomogeneous wedge. In the sequel William's asymptotic analysis in the case of angular inhomogeneity is examined. Finally, applications for the case of an angularly inhomogeneous wedge-shape dam and for the asymptotic procedure in an isotropic wedge with angularly varying shear modulus, are made. (c) 2006 Elsevier Masson SAS. All rights reserved.	en
heal.publisher	GAUTHIER-VILLARS/EDITIONS ELSEVIER	en
heal.journalName	European Journal of Mechanics, A/Solids	en
dc.identifier.doi	10.1016/j.euromechsol.2006.02.001	en
dc.identifier.isi	ISI:000243438600004	en
dc.identifier.volume	26	en
dc.identifier.issue	1	en
dc.identifier.spage	55	en
dc.identifier.epage	67	en