Numerical Approximations of Problems in Plasticity: Error Analysis and Solution Algorithms

Numerical Linear Algebra with Applications

Volumn 4, Issue 3, 1997, Pages 191-204

  Han, Weimin ^a   Jensen, Søren ^b   Reddy, B Daya ^c  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^c UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031480976     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199705/06)4:3<191::AID-NLA112>3.0.CO;2-1     Document Type: Article

References (12)

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3. W. Han, B. D. Reddy and G. C. Schroeder. Qualitative and numerical analysis of quasistatic problems in elastoplasticity. SIAM J. Numer. Anal., 34, 143-177, 1997.
4. I. Hlaváček. A finite element solution for plasticity with strain-hardening. RAIRO Anal. Numér., 14, 347-368, 1980.
5. I. Hlaváček, J. Haslinger, J. Nečas and J. Lovíšek. Solution of Variational Inequalities in Mechanics. Springer-Verlag, New York, 1988.
6. C. Johnson. On finite element methods for plasticity problems. Numer. Math., 26, 79-84, 1976.
7. C. Johnson. A mixed finite element method for plasticity problems with hardening. SIAM J. Numer. Anal., 14, 575-583, 1977.
8. V. G. Korneev and U. Langer. Approximate Solution of Plastic Flow Theory Problems. Teubner-Texte 65, Leibniz, 1984.
9. V. G. Korneev and 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.
10. B. D. Reddy and J. B. Martin. Algorithms for the solution of internal variable problems in plasticity. Comp. Meth. Appl. Mech. Eng., 93, 253-273, 1991.
11. B. D. Reddy and J. B. Martin. Internal variable formulations of problems in elastoplasticity: constitutive and algorithmic aspects. Adv. Appl. Mech., 47, 429-456, 1994.
12. J. C. Simo. Topics on the numerical analysis and simulation of plasticity, in Handbook of Numerical Analysis Vol. II, P. G. Ciarlet and J. L. Lions, editors. Elsevier (North-Holland), Amsterdam (to appear).