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On the approximation of incompressible materials in the displacement method
Author(s) -
Debongnie J. F.
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.1620140714
Subject(s) - compressibility , displacement (psychology) , convergence (economics) , mathematics , incompressible flow , mathematical analysis , finite element method , physics , mechanics , thermodynamics , psychology , economics , psychotherapist , economic growth
A mathematical description of the numerical approximation to incompressibility with nearly incompressible displacement finite elements is presented. By the way of functional analysis, it leads to a condition of convergence to the incompressible problem when v is increased up to 0.5, which can be identified with Fried's K 1 criterion.
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