A boundary element method solution for anisotropic nonhomogeneous elasticity

Nerantzaki, MS; Kandilas, CB

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Kandilas, CB	en
dc.date.accessioned	2014-03-01T01:27:38Z
dc.date.available	2014-03-01T01:27:38Z
dc.date.issued	2008	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18518
dc.subject	Boundary Element Method	en
dc.subject	Boundary Integral Equation	en
dc.subject	Fundamental Solution	en
dc.subject	Integral Representation	en
dc.subject	Partial Differential Equation	en
dc.subject	Radial Basis Function	en
dc.subject	Second Order	en
dc.subject.classification	Mechanics	en
dc.subject.other	Anisotropy	en
dc.subject.other	Boundary integral equations	en
dc.subject.other	Feedforward neural networks	en
dc.subject.other	Image segmentation	en
dc.subject.other	Linear equations	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Poisson equation	en
dc.subject.other	Probability density function	en
dc.subject.other	Radial basis function networks	en
dc.subject.other	Analog equations	en
dc.subject.other	Anisotropic	en
dc.subject.other	Anisotropic bodies	en
dc.subject.other	Fictitious sources	en
dc.subject.other	Field functions	en
dc.subject.other	Fundamental solutions	en
dc.subject.other	Governing equations	en
dc.subject.other	Integral representations	en
dc.subject.other	Nonhomogeneous	en
dc.subject.other	Numerical results	en
dc.subject.other	Plane elastostatic problems	en
dc.subject.other	Radial basis functions	en
dc.subject.other	Second orders	en
dc.subject.other	Two components	en
dc.subject.other	Variable co-efficient	en
dc.subject.other	Boundary element method	en
dc.title	A boundary element method solution for anisotropic nonhomogeneous elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-008-0020-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-008-0020-z	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	A new BEM approach is presented for the plane elastostatic problem for nonhomogeneous anisotropic bodies. In this case the response of the body is described by two coupled linear second order partial differential equations in terms of displacement with variable coefficient. The incapability of establishing the fundamental solution of the governing equations is overcome by uncoupling them using the concept of analog equation, which converts them to two Poisson's equations, whose fundamental solution is known and the necessary boundary integral equations are readily obtained. This formulation introduces two additional unknown field functions, which physically represent the two components of a fictitious source. Subsequently, they are determined by approximating them globally with radial basis functions series. The displacements and the stresses are evaluated from the integral representation of the solution of the substitutes equations. The presented method maintains the pure boundary character of the BEM. The obtained numerical results demonstrate the effectiveness and accuracy of the method. © 2008 Springer-Verlag.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-008-0020-z	en
dc.identifier.isi	ISI:000260218100006	en
dc.identifier.volume	200	en
dc.identifier.issue	3-4	en
dc.identifier.spage	199	en
dc.identifier.epage	211	en