Abstract
This paper presents a condensed method for linear complementary equations of clasto-plastic problems derived from the variational inequations. The present method outs down computing time enormously and greatly promotes the efficiency of the clasto-plastic analysis for large scale structures.
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Sha Desong, Sun Huanchun, Zhang Zhongding and Yin Fuxin, A variational inequality principle in solid mechanics and application in physically nonlinear problems.Communications in Applied Numerical Methods,6 (1990), 5–45.
Sun Huanchun, The development of free-moving boundary problems and a class of virtual energy inequality and its weak solution.J. of Shandong Institute of Engineering,5, 2 (1991).
Zhang Roulei and Zhong Wanxie, The numerical solution for PMPEP by parametric quadratic programming.Computational Structural Mechanics and Applications,4, 1 (1987), 1–11. (in Chinese).
Ren Qiquan. Finite element analysis of elastic-plastic materials by condensed approach.ACTA Aeronautica ET, Astronautica Sinica,6, 6 (1985), 590–596. (in Chinese).
Chen Tieyun et al. The application of the method for updating cholesky factorization of a band marix in the elastic-plastic finite element analysis of the plane stress problems.Shanghai Journal of Mechanics,3, 2 (1982), 1–16, (in Chinese)
Y. Yamada, et al., Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method.Int. J. Mech. Sci.,10, (1968), 348–354.
G. Duvaut and J. L. Lions,Les Inequations en Mecanique et en Physique. Boston Inc. (1985): Translated by Wang Yaodong,Variational Inequalities in Mechanics and Physics. Science Press (1987). (in Chinese)
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Fuxin, Y., Huanchun, S. A condensed method for linear complementary equations of elasto-plastic problems. Appl Math Mech 16, 925–936 (1995). https://doi.org/10.1007/BF02538833
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DOI: https://doi.org/10.1007/BF02538833