| 广义塑性梯度模型的变分原理和边界条件 |
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| 引用本文： | 何贤锋,赵冰,傅鹤林.广义塑性梯度模型的变分原理和边界条件[J].岩土力学,2008,29(10):2843-2846. |
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| 作者姓名： | 何贤锋 赵冰 傅鹤林 |
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| 作者单位： | 1.中南大学 土木建筑学院，长沙 410075；2.长沙理工大学 土木与建筑学院，长沙 410076 |
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| 基金项目： | 湖南省教育厅青年基金，湖南省自然科学基金 |
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| 摘 要： | 在广义塑性力学的双屈服面模型的体积屈服面和剪切屈服面中引进应变梯度项，构造梯度依赖的双屈服面，可以建立广义塑性梯度模型的理论框架，此时的位移率 、剪切塑性乘子率 、体积塑性乘子率 成了各自独立的变量。为了建立相应的数值模型，构造了增量泛函，建立并证明了3类变量( ， ， )变分原理，得到应力边界条件，同时塑性乘子作为自然边界条件给出。
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| 关 键 词： | 广义塑性梯度模型 变分原理 边界条件 |
| 收稿时间： | 2007-10-10 |
Variational principle and boundary conditions of gradient-dependent generalized plasticity model |
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| HE Xian-feng,ZHAO Bing,FU He-lin.Variational principle and boundary conditions of gradient-dependent generalized plasticity model[J].Rock and Soil Mechanics,2008,29(10):2843-2846. |
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| Authors: | HE Xian-feng ZHAO Bing FU He-lin |
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| Institution: | 1. School of Civil and Architectural Engineering, Central South University, Changsha 410075, China; 2. School of Bridge and Structure Engineering, Changsha University of Science and Technology, Changsha 410076, China |
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| Abstract: | Gradient-dependent generalized plasticity mechanics(GGPM) in which the yield functions not only depend on stress tensor and an invariant plastic strain measure,but also depend on spatial derivatives of the latter quantity,is based on the generalized plasticity mechanics(GPM).It can describe the strain localization characteristics and the basic mechanical characteristics of geomaterials at the same time.In order to derive the equilibrium equations and the boundary conditions,an incremental functional in whic... |
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| Keywords: | gradient-dependent generalized plasticity model variational principle boundary condition |
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