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An improved finite element for connecting adjacent laminae of two‐dimensional elements
Author(s) -
Pack Steven C.,
Mandel James A.
Publication year - 1986
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.1620230312
Subject(s) - finite element method , displacement (psychology) , cable gland , plane (geometry) , geometry , element (criminal law) , mathematics , reduction (mathematics) , displacement method , mathematical analysis , structural engineering , engineering , mechanical engineering , psychology , political science , law , psychotherapist
A connector element for linking planes of two‐dimensional elements to enable approximate multiplane solutions to a class of three‐dimensional problems is developed. This connector element embodies the same displacement fields as assumed by the connected two‐dimensional isoparametric elements. A reduction from the general multiplane formulation to a dual plane model is shown to be appropriate for analysing bodies with uniformly spaced inclusions. Sample solutions are given, including cases with different continuity conditions in each plane.