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Record 56 of 14062
Stability and Convergence of Underintegrated Finite Element Approximations
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Author and Affiliation:
Oden, J. T.(Texas Univ., Austin, TX, United States)
Abstract: The effects of underintegration on the numerical stability and convergence characteristics of certain classes of finite element approximations were analyzed. Particular attention is given to hourglassing instabilities that arise from underintegrating the stiffness matrix entries and checkerboard instabilities that arise from underintegrating constrain terms such as those arising from incompressibility conditions. A fundamental result reported here is the proof that the fully integrated stiffness is restored in some cases through a post-processing operation.
Publication Date: Jun 01, 1984
Document ID:
19840023626
(Acquired Nov 13, 1995)
Accession Number: 84N31696
Subject Category: STRUCTURAL MECHANICS
Document Type: Conference Paper
Publication Information: NASA. Lewis Research Center Nonlinear Struct. Anal.; p. p 95-103
Publisher Information: United States
Contract/Grant/Task Num: NAG3-329
Financial Sponsor: NASA; United States
Organization Source: Texas Univ.; Austin, TX, United States
Description: 9p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: No Copyright
NASA Terms: FINITE ELEMENT METHOD; ISOPARAMETRIC FINITE ELEMENTS; STABILITY; STIFFNESS MATRIX; AXIAL LOADS; COMPRESSION LOADS; CONSTRAINTS; ELASTIC CYLINDERS; NEUMANN PROBLEM; QUADRATURES
Imprint And Other Notes: In NASA. Lewis Research Center Nonlinear Struct. Anal. p 95-103 (SEE N84-31688 21-39)
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