双轴试验中的最小耗散理论和剪切带
Minimal dissipation theory and shear bands in biaxial tests
摘要：
通过应用最小耗散原理并与二维接触动力学模拟进行比较，研究了颗粒材料的真实双轴试验。结果表明，由等应力比和等体积表征的宏观稳态是耗散率最小的微观结构不断变化的结果。在变化的剪切能带结构中，剪切带角是恒定的。我们还表明，引入摩擦的墙壁上的退化的最佳剪切能带结构的一个参数范围很广，这给出了一个非恒定的应力比曲线，具有不同的纵横比，可以计算。
英文摘要：
True biaxial tests of granular materials are investigated by applying the principle of minimal dissipation and comparing to two dimensional contact dynamics simulations. It is shown that the macroscopic steady state manifested by constant stress ratio and constant volume is the result of the ever changing microscopic structure which minimizes the dissipation rate. The shear band angle in the varying shear band structures is found to be constant. We also show that introducing friction on the walls reduces the degeneracy of the optimal shear band structures to one for a wide range of parameters which gives a non-constant stress ratio curve with varying aspect ratio that can be calculated.
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