A unified two-phase potential method for elastic Bi-material: Planar interfaces

Kattis, MA; Mavroyannis, GD

dc.contributor.author	Kattis, MA	en
dc.contributor.author	Mavroyannis, GD	en
dc.date.accessioned	2014-03-01T01:35:03Z
dc.date.available	2014-03-01T01:35:03Z
dc.date.issued	2011	en
dc.identifier.issn	0374-3535	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20956
dc.subject	Anisotropic/isotropic bimaterials	en
dc.subject	Interface crack	en
dc.subject	Two-phase potentials	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Anisotropic elasticity	en
dc.subject.other	Bi-material	en
dc.subject.other	Bimaterials	en
dc.subject.other	Complex matrices	en
dc.subject.other	Constituent materials	en
dc.subject.other	Elastic fields	en
dc.subject.other	Elastic properties	en
dc.subject.other	Eshelby	en
dc.subject.other	Holomorphic functions	en
dc.subject.other	Interface crack	en
dc.subject.other	Interface crack problem	en
dc.subject.other	Interfacial bonding	en
dc.subject.other	Isotropic elasticity	en
dc.subject.other	Isotropic materials	en
dc.subject.other	Muskhelishvili	en
dc.subject.other	Planar interface	en
dc.subject.other	Potential methods	en
dc.subject.other	Two-phase potentials	en
dc.subject.other	Unified approach	en
dc.subject.other	Uniform stress	en
dc.subject.other	Universal relationship	en
dc.subject.other	Anisotropy	en
dc.subject.other	Cracks	en
dc.subject.other	Dissimilar materials	en
dc.subject.other	Elasticity	en
dc.subject.other	Function evaluation	en
dc.subject.other	Stresses	en
dc.subject.other	Phase interfaces	en
dc.title	A unified two-phase potential method for elastic Bi-material: Planar interfaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10659-010-9273-6	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10659-010-9273-6	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	This paper gives a unified approach to analyze two-dimensional elastic deformations of a composite body consisting of two dissimilar anisotropic or isotropic materials perfectly bonded along a planar interface. The Eshelby et al. formalism of anisotropic elasticity is linked with that of Kolosov-Muskhelishvili for isotropic elasticity by means of two complex matrix functions describing completely the arising elastic fields. These functions, whose elements are holomorphic functions, are defined as the two-phase potentials of the bimaterial. The present work is concerned with bi-materials whose constituent materials occupy the whole space and are connected by a planar interface. The elastic fields arising in such a bimaterial are given by universal relationships in terms of the two-phase potentials. Then, the general results obtained are implemented to study two interesting bimaterial problems: the problem of a uniformly stressed bimaterial with a perfect interfacial bonding, and the interface crack problem of a bimaterial with a general loading. For both problems, all combinations of the elastic properties of the constituent materials are considered. For the first problem, the constraints, which must be imposed between the components of the applied uniform stress fields, are established, so that they are admissible as elastic fields of the bimaterial. For the interface crack problem, the solution is obtained for a general loading applied in the body. Detailed results are given for the case of a remote uniform stress field applied to the bimaterial constituents. © 2010 Springer Science+Business Media B.V.	en
heal.publisher	SPRINGER	en
heal.journalName	Journal of Elasticity	en
dc.identifier.doi	10.1007/s10659-010-9273-6	en
dc.identifier.isi	ISI:000287151600004	en
dc.identifier.volume	103	en
dc.identifier.issue	1	en
dc.identifier.spage	73	en
dc.identifier.epage	94	en