Seismo- and thermodynamics of granular solids
Seismo- and thermodynamics of granular solids
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DOI：
10.1007/s10035-010-0229-0
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发表时间：
2011-08-01
期刊：
影响因子：
2.4
通讯作者：
Liu, Mario
中科院分区：
文献类型：
--
作者：
Gudehus, Gerd;Jiang, Yimin;Liu, Mario
最近发表的理论命名为颗粒固体流体动力学（GSH）的概述，支持和量化的论点，从物理学以及土壤力学。地震动力学平衡用于引入颗粒温度T（g）和相关的熵s（g），两者都具有梯度。首次提出了GSH的无梯度演化方程，提出了参数作为T（g）的函数，并进行了估计。在一定的T（g）范围内，恒定拉伸导致几乎亚塑性的关系。循环变形导致脉动T（g）和应力和密度的渐近循环。状态循环也通过额外施加的等容变形（棘轮效应）来实现。类似的吸引子可以用隐变量的弹塑性或亚塑性关系得到。GSH，然后提出梯度和边界条件。稳定和不稳定的后果概述了通过总能量和驱动吸引子。结论和展望表明，GSH将成为一个强有力的统一概念。
The recently published theory named Granular Solid Hydrodynamics (GSH) is outlined, supported and quantified with arguments from physics as well as soil mechanics. Seismodynamic equilibria serve to introduce a granular temperature T (g) and a related entropy s (g) , both with gradients. The evolution equations of GSH are first presented without gradients, parameters are proposed as functions of T (g) and estimated. Constant stretching leads to nearly hypoplastic relations for a certain range of T (g) . Cyclic deformations lead to pulsating T (g) and to asymptotic cycles of stress and density. State cycles are also attained with additionally imposed isochoric deformations (ratcheting). Similar attractors can be obtained with elastoplastic or hypoplastic relations with hidden variables. GSH is then presented with gradients and boundary conditions. Consequences for stabilization and destabilization are outlined by means of the total energy and with driven attractors. Conclusions and an outlook indicate that GSH is going to become a powerful unified concept.