粘塑性动力学问题的最优控制变分原理与有限元分析
The Optimal Control Variational Principle and Finite Elements Analysis for Viscoplastic Dynamics
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摘要: 本文运用最优控制变分理论,对Perzyna型粘塑性体,提出了粘塑性动力问题的参数变分原理,并给出了相应的动力有限元方程和参数二次解法.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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Key words:
- viscoplastic dynamics /
- optimal control /
- variational principle /
- finite element method
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[1] 杨桂通、熊祝华,《塑性动力学》,清华大学出版社,北京(1984). [2] 曾攀,《材料的概率疲劳损伤特性及结构分析原理》,科学技术文献出版社,北京(1993) [3] 张饮清,非线性弹性体动力学问题的变分原理,应用数学与力学,13(1) (1992), 1-9. [4] 徐兴、郭乙木、沈永兴,《非线性有限元及程序设计》,浙江大学出版社,杭州(1993). [5] 张柔雷、钟万姗,参度量最小势能原理灼有限元参数二次规划解,计算结构力学及其应用.4(1)(1987), 1-11. [6] 曾攀、钱令希,粘塑性问题的参数二次规划法,应用数学与力学,12(1) (1991), 541-545. -
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