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Spurious modes in two‐dimensional isoparametric elements
Author(s) -
Bićcanić N.,
Hinton E.
Publication year - 1979
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.1620141009
Subject(s) - quadrilateral , spurious relationship , eigenvalues and eigenvectors , stiffness , plane (geometry) , mathematics , finite element method , geometry , polygon mesh , mathematical analysis , structural engineering , physics , engineering , statistics , quantum mechanics
The reasons for the presence of spurious modes in plane isoparametric elements are examined. Eigenvalue and eigenvector analyses of stiffness matrices for single elements and unconstrained and constrained meshes reveal the types of mechanisms and near‐mechanisms that can be expected when reduced or selective integration techniques are used with quadrilateral elements in the analysis of plane strain problems.