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Application of the patch test to incompatible laminated finite elements
Author(s) -
Winkler David C.,
Accorsi Michael L.
Publication year - 1997
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(19971130)40:22<4239::aid-nme258>3.0.co;2-a
Subject(s) - finite element method , convergence (economics) , patch test , structural engineering , mathematics , engineering , allergy , immunology , economics , biology , economic growth
A new patch test is proposed for laminated finite elements. Two single‐element tests are presented which establish the necessary conditions for convergence of incompatible laminated elements. These conditions are applied to a family of incompatible laminated elements recently developed by the authors. A method for applying these conditions to establish a general isoparametric formulation is given. Numerical results from several multielement patch tests performed on these elements are discussed. Additional numerical examples that support the findings of these patch tests are also presented. © 1997 John Wiley & Sons, Ltd.