Solution of plane elasticity problems with Mathematica

Ioakimidis, NI; Anastasselos, GT

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselos, GT	en
dc.date.accessioned	2014-03-01T01:11:29Z
dc.date.available	2014-03-01T01:11:29Z
dc.date.issued	1995	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11664
dc.subject	Approximate Solution	en
dc.subject	biharmonic equation	en
dc.subject	Boundary Condition	en
dc.subject	Boundary Element	en
dc.subject	Computer Algebra System	en
dc.subject	Finite Element Method	en
dc.subject	Functional Equation	en
dc.subject	Programming Language	en
dc.subject	Satisfiability	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Boolean algebra	en
dc.subject.other	Boundary element method	en
dc.subject.other	Computational complexity	en
dc.subject.other	Computer aided analysis	en
dc.subject.other	Finite element method	en
dc.subject.other	Integral equations	en
dc.subject.other	Mathematical programming	en
dc.subject.other	Complex potentials	en
dc.subject.other	Fredholm integral equations	en
dc.subject.other	Muskhelishvili general method	en
dc.subject.other	Software Package Mathematica	en
dc.subject.other	Elasticity	en
dc.title	Solution of plane elasticity problems with Mathematica	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7949(94)00467-H	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7949(94)00467-H	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	The classical complex-variable method of Muskhelishvili for the solution of general plane elasticity problems is revisited. The boundary conditions are satisfied automatically and the related functional equation of Muskhelishvili is approximately solved by selection of the collocation points outside the elastic medium. This ensures the approximate solution of the biharmonic equation of plane elasticity. This approach is completely different from boundary element and finite element methods, since the main attempt is to satisfy the analyticity of the complex potentials (almost equivalently, the biharmonic equation) and not the boundary conditions or both of these. The modern and powerful computer algebra system Mathematica was selected as an appropriate programming language for the related computer procedure, which is also given. Symbolic parameters can also be used in the computing environment offered by Mathematica. Numerical and semi-numerical results in a special application (elliptical region) are also presented and seen to converge rapidly. Both cases of the first and the second fundamental problems are considered. © 1995.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/0045-7949(94)00467-H	en
dc.identifier.isi	ISI:A1995QP09000005	en
dc.identifier.volume	55	en
dc.identifier.issue	2	en
dc.identifier.spage	229	en
dc.identifier.epage	236	en