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A new efficient approach to the formulation of mixed finite element models for structural analysis
Author(s) -
Lee S. W.,
Rhiu J. J.
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.1620230905
Subject(s) - finite element method , mixed finite element method , mathematics , kinematics , matrix (chemical analysis) , element (criminal law) , mathematical optimization , computer science , structural engineering , engineering , classical mechanics , physics , materials science , political science , law , composite material
Abstract A new mixed finite element formulation is developed based on the Hellinger‐Reissner principle with independent strain. By dividing the assumed strain into its lower order and higher order parts, the new formulation can be made much more efficient than the conventional mixed formulation. In addition the present new approach provides an alternative way of introducing a stabilization matrix to suppress undesirable kinematic modes.