A COMBINED PARAMETRIC QUADRATIC PROGRAMMING AND PRECISE INTEGRATION METHOD BASED DYNAMIC ANALYSIS OF ELASTIC-PLASTIC HARDENING/SOFTENING PROBLEMS

摘要

The objective of the paper is to develop a new algorithm for numericalsolution of dynamic elastic-plastic strain hardening/softening problems. The gradientdependent 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 theparametric variational principle, which is valid for associated, non-associated andstrain softening plastic constitutive models in the finite element analysis. The preciseintegration method, which has been widely used for discretization in time domain ofthe linear problems, is introduced for the solution of dynamic nonlinear equations.The new algorithm proposed is based on the combination of the parametric quadraticprogramming method and the precise integration method and has all the advantagesin both of the algorithms. Results of numerical examples demonstrate not only thevalidity, but also the advantages of the algorithm proposed for the numerical solutionof nonlinear dynamic problems.