| 基于梯度塑性模型的多孔介质应变局部化分析的基本理论 |
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| 引用本文： | 张洪武,秦建敏,刘国震.基于梯度塑性模型的多孔介质应变局部化分析的基本理论[J].岩土力学,2006,27(1):1-6. |
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| 作者姓名： | 张洪武 秦建敏 刘国震 |
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| 作者单位： | 1.大连理工大学 工业装备结构分析国家重点实验室，辽宁 大连 116024；2.辽河油田兴隆台采油厂，辽宁 盘锦 124000 |
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| 基金项目： | 中国科学院资助项目;教育部长江学者和创新团队发展计划;国家基础性研究科学基金 |
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| 摘 要： | 讨论了引入梯度塑性模型情况下的含液多孔介质双重内尺度律的特征以及相互作用问题。在引入梯度塑性本构模型的情况下，一方面材料应变局部化分析数值结果的正则性得到保证；而另一方面，含液多孔介质会出现双重内尺度律参数的共同作用问题。本文给出了此时内尺度律预测的一个基本方法，并对稳定性问题进行了分析，讨论了不同情况下实波速存在的条件，给出了对于给定的渗透系数情况下实波速存在的波数区间，并对相关现象进行了解释。
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| 关 键 词： | 应变局部化 多孔介质 梯度塑性 内尺度律 |
| 文章编号： | 1000-7598-（2006）01-0001-06 |
| 收稿时间： | 2004-07-15 |
| 修稿时间： | 2004年7月15日 |
Basic theories for strain localization analysis of porous media with gradient dependent plasticity model |
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| ZHANG Hong-wu,QIN Jian-min,LIU Guo-zhen.Basic theories for strain localization analysis of porous media with gradient dependent plasticity model[J].Rock and Soil Mechanics,2006,27(1):1-6. |
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| Authors: | ZHANG Hong-wu QIN Jian-min LIU Guo-zhen |
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| Institution: | 1.State Key Laboratory of Structural Analysis and Industrial Equipment, Dalian University of Technology, Dalian 116024, China; 2.Xinglongtai Oil Extraction Plant, Liaohe Oil Field, Panjin 124000, China |
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| Abstract: | The interaction between the two kinds of internal length scales is analyzed when the gradient-dependent plasticity is introduced to a multiphase material model to study the dynamic strain localization phenomenon of saturated and partially saturated porous media. The stability analysis demonstrates that the resulting enhanced porous media model preserves the well-posedness of the initial value problem for both axial and shear waves because an internal length scale dependent on the gradient parameter is introduced. On the other hand, the seepage process of the water also provides an internal length scale for strain localization analysis via the Darcy’s law but only in the case of compression wave propagation (and not in the shear wave case). It is thus that the length scale introduced by the gradient dependent model and that naturally contained in the governing equations of fully and partially saturated model can interact with each other in a finite element analysis. A basic method is presented to investigate the internal length scale of the porous media under the interaction of these two kinds of length scale parameters. Material stability analysis is carried out for a certain permeability from which the results of wave number domain with real wave speed are distinguished. |
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| Keywords: | strain localization porous material gradient-dependent plasticity internal length scale |
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