Analysis of a mixed finite element method for elasto-plastic plates-Reference-Cited by-同舟云学术

Analysis of a mixed finite element method for elasto-plastic plates

Published:1977 Issue:140 Volume:31 Page:809-817
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Brezzi F.,Johnson C.,Mercier B.

Abstract

We consider a mixed finite element method for finding approximations of the displacement and moments in a thin elastic-perfectly plastic plate. Under some weak assumptions concerning the regularity of the exact solution, we prove an error estimate for the moments.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1977-31-140/S0025-5718-1977-0443373-1/S0025-5718-1977-0443373-1.pdf

Reference12 articles.

1. F. BREZZI & P. A. RAVIART, "Mixed finite element methods for 4th order problems," Topics in Numerical Analysis. III, J. MILLER (Editor), Academic Press, New York, 1976.

2. J. BÄCKLUND, "Mixed finite element analysis of elasto-plastic plates in bending," Arch. Mech., v. 24, 1972, pp. 319-335.

3. Collection \'{E}tudes Math\'{e}matiques;Ekeland, Ivar,1974

4. K. HELLAN, "An analysis of elastic plates in flexure by a simplified finite element method," Acta Polytech. Scand. Ci. Ser., v. 46, 1967.

5. L. R. HERRMANN, "Finite element bending analysis for plates," J. Engr. Mech. Div. ASCE, EM5, a3, 1967, pp. 49-83.

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