Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 191, Issue 46, Pages 5253-5264Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(02)00443-7
Keywords
incompressible elasticity; sub-grid scales method; stabilized finite element methods
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In this paper a stabilized finite element method to deal with incompressibility in solid mechanics is presented. A mixed formulation involving pressure and displacement fields is used and a continuous linear interpolation is considered for both fields. To overcome the Babuska-Brezzi condition, a stabilization technique based on the orthogonal sub-scale method is introduced. The main advantage of the method is the possibility of using linear triangular or tetrahedral finite elements, which are easy to generate for real industrial applications. Results are compared with standard Galerkin and Q1PO mixed formulations for nearly incompressible problems in the context of linear elasticity. (C) 2002 Elsevier Science B.V. All rights reserved.
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