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A new iterative method for solving quasi-static problems of plasticity

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Abstract

An iterative method to solve a system of nonlinear equations arising from finite element analysis of plasticity is proposed. It is proved that this iteration converges unconditionally. A method to accelerate the convergence of this iteration is also proposed.

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References

  1. C. Johnson, On finite element methods for plasticity problems. Numer. Math.,26 (1976), 79–84.

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  2. T. Miyoshi, Foundations of the Numerical Analysis of Plasticity. North-Holland Mathematics Studies 107, Kinokuniya/North-Holland, 1985.

  3. T. Miyoshi, K. Kaminishi, S. Kawano and S. Shimizu, An iterative method in the analysis of plasticity. Proceedings of International Conference on Computational Mechanics, Tokyo, 1986. To appear.

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Authors and Affiliations

  1. Department of Applied Science, Faculty of Engineering, Yamaguchi University, Tokiwadai, 755, Ube, Yamaguchi, Japan

    Tetsuhiko Miyoshi

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  1. Tetsuhiko Miyoshi
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Miyoshi, T. A new iterative method for solving quasi-static problems of plasticity. Japan J. Appl. Math. 3, 331–342 (1986). https://doi.org/10.1007/BF03167106

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  • DOI: https://doi.org/10.1007/BF03167106

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