FRICTIONAL-COLLISIONAL CONSTITUTIVE RELATIONS FOR GRANULAR MATERIALS, WITH APPLICATION TO PLANE SHEARING
FRICTIONAL-COLLISIONAL CONSTITUTIVE RELATIONS FOR GRANULAR MATERIALS, WITH APPLICATION TO PLANE SHEARING
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DOI：
10.1017/s0022112087000570
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发表时间：
1987-03-01
影响因子：
3.7
通讯作者：
JACKSON, R
中科院分区：
文献类型：
--
作者：
JOHNSON, PC;JACKSON, R
在颗粒材料内，应力通过施加在颗粒之间的相互接触点处的力来传递。当颗粒靠近在一起并且组件的变形缓慢时，接触持续很长时间，并且这些力由法向反作用力和由于摩擦引起的相关切向力组成。另一方面，当颗粒间距很大且变形迅速时，接触很短暂，可以被视为碰撞，在此期间动量被传递。虽然本构关系可用于模拟这两种情况，但在许多情况下，平均接触时间介于两个极端之间。本工作的目的是提出本构关系和边界条件，这种中间的情况下，并解决相应的运动方程的无限水平板之间的无粘性颗粒材料的平面剪切。它表明，在一般情况下，并不是所有的板之间的材料参与剪切，剪切材料的解决方案是耦合到非剪切材料的屈服条件，给出一个完整的解决方案的问题。
Within a granular material stress is transmitted by forces exerted at points of mutual contact between particles. When the particles are close together and deformation of the assembly is slow, contacts are sustained for long times, and these forces consist of normal reactions and the associated tangential forces due to friction. When the particles are widely spaced and deformation is rapid, on the other hand, contacts are brief and may be regarded as collisions, during which momentum is transferred. While constitutive relations are available which model both these situations, in many cases the average contact times lie between the two extremes. The purpose of the present work is to propose constitutive relations and boundary conditions for this intermediate case and to solve the corresponding equations of motion for plane shear of a cohesionless granular material between infinite horizontal plates. It is shown that, in general, not all the material between the plates participates in shearing, and the solutions for the shearing material are coupled to a yield condition for the non-shearing material to give a complete solution of the problem.