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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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Finite Elements for Nearly Incompresible Materials in Solid Mechanics
by
Dietrich Braess
Faculty of Mathematics, Ruhr University, Germany

Finite elements are now well established for the numerical solution of elliptic equations. Nevertheless, standard elements do not work satisfactory in many problems of solid mechanics. The reason are ßmall parameters" in those problems. The thickness of plates or shells, e.g., may be very small, or the compressibility becomes small when there are plastic deformations. The appropriate softening of the variational functional in a rigorous mathematical setting is discussed. Elements which are derived from saddle point problems, but not as complicated as the mixed methods, are now popular.

http://homepage.ruhr-uni-bochum.de/Dietrich.Braess/ftp.html

Date received: December 28, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagk-04.