Acta Mechanica Sinica

, Volume 18, Issue 6, pp 638–648 | Cite as

A combined parametric quadratic programming and precise integration method based dynamic analysis of elastic-plastic hardening/softening problems

  • Zhang Hongwu
  • Zhang Xinwei


The objective of the paper is to develop a new algorithm for numerical solution of dynamic elastic-plastic strain hardening/softening problems. The gradient dependent model is adopted in the numerical model to overcome the result mesh-sensitivity problem in the dynamic strain softening or strain localization analysis. The equations for the dynamic elastic-plastic problems are derived in terms of the parametric variational principle, which is valid for associated, non-associated and strain softening plastic constitutive models in the finite element analysis. The precise integration method, which has been widely used for discretization in time domain of the linear problems, is introduced for the solution of dynamic nonlinear equations. The new algorithm proposed is based on the combination of the parametric quadratic programming method and the precise integration method and has all the advantages in both of the algorithms. Results of numerical examples demonstrate not only the validity, but also the advantages of the algorithm proposed for the numerical solution of nonlinear dynamic problems.

Key Words

precise integration method parametric quadratic programming method strain localization strain softening dynamic response 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 2002

Authors and Affiliations

  • Zhang Hongwu
    • 1
  • Zhang Xinwei
    • 1
  1. 1.State Key Laboratory of Structural Analysis and Industrial Equipment, Department of Engineering MechanicsDalian University of TechnologyDalianChina

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