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论文类型：期刊论文

发表时间：2002-12-01

发表刊物：ACTA MECHANICA SINICA

收录刊物：Scopus、SCIE、EI、ISTIC

卷号：18

期号：6

页面范围：638-648

ISSN号：0567-7718

关键字：precise integration method; parametric quadratic programming method; strain localization; strain softening; dynamic response

摘要：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 axe 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.