The Optimal Control Variational Principle and Finite Elements Analysis for Viscoplastic Dynamics

Ma Jinghuai

Volume 18 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(1): 61-66

Ma Jinghuai. The Optimal Control Variational Principle and Finite Elements Analysis for Viscoplastic Dynamics[J]. Applied Mathematics and Mechanics, 1997, 18(1): 61-66.

Citation:

Ma Jinghuai. The Optimal Control Variational Principle and Finite Elements Analysis for Viscoplastic Dynamics[J]. Applied Mathematics and Mechanics, 1997, 18(1): 61-66.

Citation:

Ma Jinghuai. The Optimal Control Variational Principle and Finite Elements Analysis for Viscoplastic Dynamics[J]. Applied Mathematics and Mechanics, 1997, 18(1): 61-66.

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The Optimal Control Variational Principle and Finite Elements Analysis for Viscoplastic Dynamics

Ma Jinghuai

Xinjiang Petroleum Institute, Wulumuqi 830000, P. R China

Received Date: 1995-09-06
Publish Date: 1997-01-15

Abstract

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.
- viscoplastic dynamics,
- optimal control,
- variational principle,
- finite element method

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References(6)

References

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[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.
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