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

Acta Mechanica Sinica (Impact Factor: 0.69). 18(6):638-648. DOI: 10.1007/BF02487966

ABSTRACT 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.

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