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On finite element methods for plasticity problems

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Summary

We prove an error estimate for an incremental finite element method for obtaining approximations to the stresses in an elastic-perfectly plastic body. We also comment on the limit load problem.

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References

  1. Anderheggen, E., Knöpfel, H.: Finite element limit analysis using linear programming. Int. J. of Solids and Structures8, 1413–1431 (1972)

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  2. Bäcklund, J.: Mixed finite element analytis of elasto-plastic plates in bending. Chalmers Inst. of Technology, Göteborg, 1972.

    Google Scholar 

  3. Ciarlet, P. G.: Sur l'élément de Clough et Tocher. R. A. I. R. O. R-2 (1974), 19–24

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  4. Duvaut, G., Lions, J. L.: Les inéquations en méchanique et en physique. Paris: Dunod 1972

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  5. Johnson, C.: Existence theorems for plasticity problems. Submitted to J. Math. Pures et Appl.

  6. Johnson, C.: On the convergence of a mixed finite element method for platebending problems. Numer. Math.21, 43–62 (1973)

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  7. Strang, G.: The finite element method—linear and nonlinear applications, Proceedings of the International Congress of mathematicians, Vancouver, Canada, 1974

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Authors and Affiliations

  1. Dept. of Mathematics, Univ. of Chicago, 60637, Chicago, Ill., USA

    Claes Johnson

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  1. Claes Johnson
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Johnson, C. On finite element methods for plasticity problems. Numer. Math. 26, 79–84 (1976). https://doi.org/10.1007/BF01396567

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  • DOI: https://doi.org/10.1007/BF01396567

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