Micro-macro transition for anisotropic, frictional granular packings
Micro-macro transition for anisotropic, frictional granular packings
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DOI：
10.1016/j.ijsolstr.2004.05.048
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发表时间：
2004-10-01
影响因子：
3.6
通讯作者：
Luding, S
中科院分区：
文献类型：
--
作者：
Luding, S
从静态粒状固体的结构中，我们得出平均体积内接触的相互作用粒子对的平均织物和刚度张量。从静态平衡周围相互作用势的线性展开开始，应力和弹性应变可以分别从虚拟位移和虚拟应力变化的原理导出。我们的方法在从单接触开始的新模块化公式中分别包括法向力和切向力。结果应用于离散粒子模拟，结果包括几乎不受摩擦存在影响的织物和配位数之间的关系、织物和刚度分量的不同定性行为以及其特征系统中刚度矩阵的仅三个独立条目。更一般地说，各向异性沿着与压缩方向相反的方向演化，并以指数方式快速发展到某个最大（极限）量级——提出了这种行为的本构模型；在临界状态剪切状态下，各向异性要小得多。 (C) 2004 Elsevier Ltd. 保留所有权利。
From the structure of a static granular solid, we derive the fabric and the stiffness tensor in average over those pairs of interacting particles with contact within the averaging volume. Starting from a linear expansion of the interaction potential around static equilibrium, stress and elastic strain can be derived from the principles of virtual displacement and virtual stress-change, respectively. Our approach includes both normal and tangential forces separately, in a new modular formulation starting from single contacts.The results are applied to a discrete particle simulation, and the findings include a relation between fabric and coordination number that is almost unaffected by the presence of friction, a different qualitative behavior of fabric and stiffness components, and only three independent entries to the stiffness matrix in its eigen-system. More general, anisotropy evolves directed against the direction of compression, and exponentially fast up to a certain maximal (limit) magnitude-a constitutive model for this behavior is proposed; in the critical state shear regime, the anisotropy is considerably smaller. (C) 2004 Elsevier Ltd. All rights reserved.