Convergence of approximations to the primal problem in plasticity under conditions of minimal regularity

Numerische Mathematik

Volumn 87, Issue 2, 2000, Pages 283-315

  Han, Weimin ^a   Reddy, B Daya ^b  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034553904     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110000194     Document Type: Article

References (15)

1. P.G. Ciarlet: The Finite Element Method for Elliptic Problems, North Holland, Amsterdam, 1978
2. L.C. Evans: Partial Differential Equations, American Mathematical Society, Providence, 1998
3. W. Man, B.D. Reddy: Computational plasticity: the variational basis and numerical analysis, Computational Mechanics Advances 2, 283-400 (1995)
4. W. Han, B.D. Reddy: Convergence analysis of discrete approximations of problems in hardening plasticity, Computer Methods in Applied Mechanics and Engineering 171, 327-340 (1999)
5. W. Han, B.D. Reddy, G.C. Schroeder: Qualitative and numerical analysis of quasistatic problems in elastoplasticity. SIAM J. Numer. Anal. 34, 143-177 (1997)
6. I. Hlaváček: A finite element solution for plasticity with strain-hardening, RAIRO Anal. Numér. 14, 347-368 (1980)
7. I. Hlaváček, J. Haslinger, J. Nečas, J. Lovíšek: Solution of Variational Inequalities in Mechanics, Springer New York, 1988
8. C. Johnson: On finite element methods for plasticity problems, Numer. Math. 26, 79-84, (1976)
9. C. Johnson: A mixed finite element method for plasticity problems with hardening, SIAM J. Numer. Anal. 14, 575-583 (1977)
10. V.G. Korneev, U. Langer: Approximate Solution of Plastic Flow Theory Problems, Teubner-Texte 65, Leibniz, 1984
11. V.G. Korneev, S.E. Ponomariov: Solution of the plastic flow theory problems by the finite element method, J. Numer. Math. & Math. Phys. 17:N2, 437-452 (1977)
12. Y. Li, I. Babuška: A convergence analysis of a p-version finite element method for one-dimensional elastoplasticity problem with constitutive laws based on the gauge function method. SIAM J. Numer. Anal. 33, 809-842 (1996)
13. Y. Li, I. Babuška: A convergence analysis of an h-version finite element method with high order elements for two dimensional elastoplasticity problems, SIAM J. Numer. Anal. 34, 998-1036 (1997)
14. J.C. Simo: Topics on the numerical analysis and simulation of plasticity, in P.G. Ciarlet and J.-L. Lions, eds., Handbook of Numerical Analysis (VI), Elsevier, North-Holland, Amsterdam, 1997
15. E. Zeidler: Nonlinear Functional Analysis and its Applications. IIA: Linear Monotone Operators, Springer New York, 1990