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Elastoplastic analysis using the 14‐node brick element family
Author(s) -
Smith I. M.,
Kidger D. J.
Publication year - 1992
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.1620350607
Subject(s) - node (physics) , brick , spurious relationship , finite element method , quadrature (astronomy) , structural engineering , degrees of freedom (physics and chemistry) , element (criminal law) , stiffness , displacement (psychology) , mathematics , engineering , physics , law , quantum mechanics , political science , psychotherapist , psychology , statistics , electrical engineering , civil engineering
Typical brick‐based finite elements in current use are the 8‐and 20‐node members of the serendipity group. For displacement analyses of solids the 8‐node element can be quite stiff in certain deformation modes, while the 20‐node element can be quite expensive to use, involving as it does 60 degrees of freedom and a fairly high order of quadrature to avoid spurious eigenmodes of the element stiffness. In this paper a family of intermediate 14‐node elements is investigated. Derivation of their properties can be considerably assisted by computer algebra. Performance is evaluated for elastic and elastoplastic problems.