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A new formulation of hybrid/mixed finite elementA new formulation of finite element method is accomplished by the Hellinger-Reissner principle for which the stress equilibrium conditions are not introduced initially but are brought-in through the use of additional internal displacement parameters. The method can lead to the same result as the assumed stress hybrid model. However, it is more general and more flexible. The use of natural coordinates for stress assumptions leads to elements which are less sensitive to the choice of reference coordinates. Numerical solutions by 3-D solid element indicate that more efficient elements can be constructed by assumed stresses which only partially satisfy the equilibrium conditions.
Document ID
19830031521
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Pian, T. H. H.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Kang, D.
(MIT Cambridge, MA, United States)
Chen, D.-P.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1983
Subject Category
Structural Mechanics
Accession Number
83A12739
Funding Number(s)
CONTRACT_GRANT: NAG3-33
Distribution Limits
Public
Copyright
Other

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