A Nonlinear Constitutive Model for Granular Materials: Application to Gravity Flow
A Nonlinear Constitutive Model for Granular Materials: Application to Gravity Flow
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颗粒材料的非线性本构模型：在重力流中的应用
DOI：
10.1115/1.3162083
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发表时间：
1982
期刊：
影响因子：
--
通讯作者：
D. Mctigue
中科院分区：
文献类型：
--
作者：
D. Mctigue
流动颗粒材料中应力耗散部分的形式是通过考虑粒间碰撞引起的动量交换而得出的。预测的剪切应力和法向应力都是变形率的二次方。假设应力的平衡部分包括热力学压力和与消失变形极限中的库仑失效准则兼容的项。找到了沿斜坡稳定重力流的体积分数和速度场的解。体积分数通过剪切层线性向下增加，其速率随着斜率的增加而减小。速度剖面在较小坡度的下边界附近形成拐点，并在接近稳定流的临界最大坡度时在下游完全凸出。结果与现有的实验测量结果定性一致。
The form of the dissipative part of the stress in flowing granular materials is motivated by considering momentum exchange due to intergranular collisions. Both shear and normal stresses are predicted that are quadratic in the rate of deformation. The equilibrium part of the stress is assumed to include a thermodynamic pressure and a term compatible with the Coulomb failure criterion in the limit of vanishing deformation. Solutions for the volume fraction and velocity fields in steady gravity flow down a slope are found. The volume fraction increases linearly downward through the shearing layer at a rate that decreases with increasing slope. The velocity profile develops an inflection near the lower boundary at smaller slopes, and becomes fully convex downstream as it approaches a critical maximum slope for steady flow. The results are in qualitative agreement with available experimental measurements.