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A mapping finite element method for stress calculation in two‐dimensions
Author(s) -
Nath B.
Publication year - 1982
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610060110
Subject(s) - finite element method , logarithm , space (punctuation) , condensation , plane (geometry) , stress (linguistics) , extended finite element method , mathematics , mathematical analysis , mixed finite element method , plane stress , type (biology) , structural engineering , geometry , computer science , engineering , physics , geology , linguistics , philosophy , thermodynamics , operating system , paleontology
A mapping finite element method is proposed for the solution of elastic problems in two‐dimensions. This method, based on the logarithmic condensation of physical space, is found to give significantly greater accuracy than when the problem is solved in the physical plane using the standard FEM. Logarithmic condensation of space also permits the solution of large aspect‐ratio problems of this type, accurately and economically.