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Basic theories for strain localization analysis of porous media with rate dependent model

机译：基于速率依赖模型的多孔介质应变局部化分析的基本理论

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摘要

This paper analyzes the interaction between two kinds of internal length scales when the rate 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 enhanced porous media model preserves the well-posedness of the initial value problem for both axial and shear waves because an internal length scale parameter is introduced in the visco-plasticity model. On the other hand, the interaction between the length scale introduced by the rate dependent model and that naturally contained in the governing equations of fully and partially saturated model will take place. A basic method is presented to investigate the internal length scale of the multiphase 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. A one dimensional example is given to illustrate the theoretical findings.
机译：当将速率相关塑性引入多相材料模型中时，本文分析了两种内部长度尺度之间的相互作用，以研究饱和和部分饱和多孔介质的动态应变局部化现象。稳定性分析表明，由于在粘塑性模型中引入了内部长度尺度参数，因此增强的多孔介质模型保留了轴向波和剪切波初始值问题的适定性。另一方面，速率相关模型引入的长度尺度与自然饱和的完全和部分饱和模型的控制方程中所包含的长度尺度之间将发生相互作用。提出了一种基本方法研究这两种长度尺度参数相互作用下的多相多孔介质内部长度尺度。对一定的渗透率进行了材料稳定性分析，从中区分了具有实际波速的波数域的结果。给出了一个一维的例子来说明理论发现。

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