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Derivation of stiffness matrices for problems in plane elasticity by Galerkin's method
Author(s) -
Szabo Barna A.,
Lee George C.
Publication year - 1969
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620010308
Subject(s) - mathematics , galerkin method , discretization , finite element method , elasticity (physics) , mathematical analysis , piecewise , interpolation (computer graphics) , piecewise linear function , linear elasticity , plane (geometry) , stiffness , geometry , classical mechanics , physics , motion (physics) , thermodynamics
Abstract Solution of plane elastic problems by piecewise linear approximation is outlined. This method is based upon Galerkin error distribution technique, which leads to simultaneous algebraic equations identical to those associated with the Finite Element Method. In addition, this method permits definition of the discretization error, which can be computed once the displacement components are known. Properties of the interpolation functions are discussed, and a sequence of internally compatible plane elastic elements is defined.