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Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Theoretical predictions concerning the needed accuracy in the numerical integration of curvilinear (isoparametric) finite elements is confirmed experimentally. The theoretical arguments and numerical results arrived at here suggest a way to lump the mass matrix with no accuracy loss. In the finite element analysis of almost inextentional shells and nearly incompressible materials where the lack of zero energy modes severely impedes convergence, numerical integration has the beneficial effect of reducing the rank of some stiffness matrices assuring thereby the presence of discrete zero modes.
Theoretical predictions concerning the needed accuracy in the numerical integration of curvilinear (isoparametric) finite elements is confirmed experimentally. The theoretical arguments and numerical results arrived at here suggest a way to lump the mass matrix with no accuracy loss. In the finite element analysis of almost inextentional shells and nearly incompressible materials where the lack of zero energy modes severely impedes convergence, numerical integration has the beneficial effect of reducing the rank of some stiffness matrices assuring thereby the presence of discrete zero modes.
Numerical integration in the finite element method
Numerische Integration bei der Methode des endlichen Elementes
Fried, I. (Autor:in)
Computers and Structures ; 4 ; 921-932
1974
, 25 Quellen
Aufsatz (Zeitschrift)
Englisch
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