| 一个适用于有限变形及率敏感非弹性材料问题的混合变量广义变分原理 |
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| 引用本文： | 陈南,陈绍汀,杜庆华.一个适用于有限变形及率敏感非弹性材料问题的混合变量广义变分原理[J].东南大学学报(自然科学版),1991(1). |
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| 作者姓名： | 陈南 陈绍汀 杜庆华 |
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| 作者单位： | 东南大学机械工程系，马安交通大学，清华大学 |
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| 摘 要： | 本文在现时拉格朗日(UL)描述下推导了适用于有限变形及率敏感非弹性材料问题的混合变量广义变分原理.以位移率和应变率为独立变量使它适于在板壳问题中应用.仔细考虑了非弹性应变率对变分变量的依赖性后,转化率形式泛函为对率敏感非弹性材料计算来讲有高阶收敛性的增量形式,并统一了两种率敏感塑性模型(Bodner和Perzyna)的计算表达形式。
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| 关 键 词： | 变分法 有限变形 塑性∥广义变分原理 率敏感塑性 |
A Mixed Variables General Variational Principle Suitable for Finite Deformation and Rate-Sensitive Inelastic Material Problems |
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| Chen Nan.A Mixed Variables General Variational Principle Suitable for Finite Deformation and Rate-Sensitive Inelastic Material Problems[J].Journal of Southeast University(Natural Science Edition),1991(1). |
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| Authors: | Chen Nan |
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| Institution: | Chen Nan (Department of Mechanical Engineering) Chen Shaoding (Xi'an Jaotong University) Du Qinghua (Qing Hua University) |
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| Abstract: | Under the Updated Lagrangian reference frame, this paper deduces a mixed variational rate principle that is suitable for the finite deformation and strain rate sensitive inelastic material. Taking the displacement rate and strain rate as independent variables, it can be used for the problems of plate and shell. By considering the dependence of the inelastic strain rate on the variational variables carefully, the rate form functional can be changed into an increment form with high order convergence rate for the calculation of rate sensitive inelastic material. The formulations of two rate sensitive plasticity models, the Bodner's and the Perzny's are unified. |
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| Keywords: | variational method finite deformation plasticity / generalized variational principle rate-sensitive plasticity |
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