Boundary element solution for plates of variable thickness

Sapountzakis, EJ; Katsikadelis, JT

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:08:16Z
dc.date.available	2014-03-01T01:08:16Z
dc.date.issued	1991	en
dc.identifier.issn	0733-9399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10381
dc.subject	Boundary Element	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Aerospace Engineering	en
dc.subject.other	Civil Engineering	en
dc.subject.other	Machine Design	en
dc.subject.other	Mathematical Techniques--Boundary Element Method	en
dc.subject.other	Structural Design--Earthquake Resistance	en
dc.subject.other	Boundary Value Problems	en
dc.subject.other	Differential Equations	en
dc.subject.other	Domains of Arbitrary Shape	en
dc.subject.other	Gaussian Integration	en
dc.subject.other	Integral Equations	en
dc.subject.other	Variable Thickness Plates	en
dc.subject.other	Plates	en
dc.title	Boundary element solution for plates of variable thickness	en
heal.type	journalArticle	en
heal.identifier.primary	10.1061/(ASCE)0733-9399(1991)117:6(1241)	en
heal.identifier.secondary	http://dx.doi.org/10.1061/(ASCE)0733-9399(1991)117:6(1241)	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	A boundary element method (BEM) is developed for the analysis of plates of variable thickness. The plate may have arbitrary shape, and its boundary may be subjected to any type of boundary conditions. The nonuniform thickness of the plate is an arbitrary function of the coordinates x, y. Since it is practically not possible to establish the fundamental solution of the governing equation, which is a differential equation with variable coefficients, the proposed method uses the fundamental solution of the plate with constant thickness and treats the unknown terms as domain forces. The boundary value problem is formulated in terms of two differential and three integral coupled equations. The differential equations are solved using the finite difference method, while the integral equations using the BEM. The domain integrals are treated by employing an effective Gaussian integration over domains of arbitrary shape. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy.	en
heal.publisher	ASCE-AMER SOC CIVIL ENG	en
heal.journalName	Journal of Engineering Mechanics	en
dc.identifier.doi	10.1061/(ASCE)0733-9399(1991)117:6(1241)	en
dc.identifier.isi	ISI:A1991FN16900003	en
dc.identifier.volume	117	en
dc.identifier.issue	6	en
dc.identifier.spage	1241	en
dc.identifier.epage	1256	en