Skip to main content
Log in

A condensed method for linear complementary equations of elasto-plastic problems

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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.

    Article  Google Scholar 

  2. 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).

    Google Scholar 

  3. 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).

    Google Scholar 

  4. Ren Qiquan. Finite element analysis of elastic-plastic materials by condensed approach.ACTA Aeronautica ET, Astronautica Sinica,6, 6 (1985), 590–596. (in Chinese).

    Google Scholar 

  5. 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)

    Google Scholar 

  6. 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.

    Google Scholar 

  7. 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)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02538833

Key words

Navigation