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Node‐based uniform strain elements for three‐node triangular and four‐node tetrahedral meshes
Author(s) -
Dohrmann C.R.,
Heinstein M. W.,
Jung J.,
Key S. W.,
Witkowski W. R.
Publication year - 2000
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/(sici)1097-0207(20000330)47:9<1549::aid-nme842>3.0.co;2-k
Subject(s) - node (physics) , tetrahedron , polygon mesh , interpolation (computer graphics) , boundary (topology) , finite element method , mathematics , geometry , topology (electrical circuits) , set (abstract data type) , element (criminal law) , computer science , mathematical analysis , structural engineering , combinatorics , engineering , computer network , frame (networking) , law , political science , programming language
Node‐based uniform strain elements for three‐node triangular and four‐node tetrahedral meshes are presented. The elements use the linear interpolation functions of the original mesh, but each element is associated with a single node. As a result, a favourable constraint ratio for the volumetric response is obtained for problems in solid mechanics. The uniform strain elements do not require the introduction of additional degrees of freedom and their performance is shown to be significantly better than that of three‐node triangular or four‐node tetrahedral elements. In addition, nodes inside the boundary of the mesh are observed to exhibit superconvergent behaviour for a set of example problems. Published in 2000 by John Wiley & Sons, Ltd.