Locking effects in the finite element approximation of elasticity problems |
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Authors: | Ivo Babuška Manil Suri |
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Affiliation: | (1) Institute of Physical Science and Technology, University of Maryland, 20742 College Park, MD, USA;(2) Department of Mathematics and Statistics, University of Maryland Baltimore County, 21228 Baltimore, MD, USA |
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Abstract: | Summary We consider the finite element approximation of the 2D elasticity problem when the Poisson ratiov is close to 0.5. It is well-known that the performance of certain commonly used finite elements deteriorates asv 0, a phenomenon calledlocking. We analyze this phenomenon and characterize the strength of the locking androbustness of varioush-version schemes using triangular and rectangular elements. We prove that thep-andh-p versions are free of locking with respect to the error in the energy norm. A generalization of our theory to the 3D problem is also discussed.The work of this author was supported in part by the Office of Naval Research under Naval Research Grant N00014-90-J-1030The work of this author was supported in part by the Air Force Office of Scientific Research, Air Force Systems Command, U.S. Air Force, under grant AFOSR 89-0252 |
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Keywords: | 65N30 |
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