Abstract
This paper presents the optimal control variational principle for Perzyna model which is one of the main constitutive relation of viscoplasticity in dynamics. And it could also be transformed to solve the parametric quadratic programming problem. The FEM form of this problem and its implementation have also been discussed in the paper.
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References
Yang Guitong and Xing Zhuhua,Plastic Dynamics, Qinghua University Publishing House, Beijing (1984). (in Chinese)
Zeng Pan,The Probability Fatigue Damage Properties of Materials and Structure Analytic Principle, Science and Technology Literature Publishing House, Beijing (1993), 100–146. (in Chinese)
Zhang Ruchin, The viariational principle of nonlinear elastic dynamics,Applied Mathematics and Mechanics,13, 1 (1992), 1–9. (in Chinese)
Xu Xin, Guo Yimu and Sheng Yougxin,Non-Linear Finite Element Method and Programming, Zhejiang University Publishing House, Hangzhou (1993), 90–98. (in Chinese)
Zhang Roulei and Zhong Wanxi, The finite element parameter quadratic programming method on which the minimal potential energy principle is based,Computational Structural Mechanics and Applications,4 1 (1987), 1–11. (in Chinese)
Zeng Pan and Qian Linxi, Parameter quadratic programming method of viscoplastic problem.Applied Mathematics and Mechanics,12, 6 (1991), 541–545. (in Chinese)
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Communicated by Zhang Ruqing
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Jinghuai, M. The optimal control variational principle and finite elements analysis for viscoplastic dynamics. Appl Math Mech 18, 61–68 (1997). https://doi.org/10.1007/BF02457502
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DOI: https://doi.org/10.1007/BF02457502