The numerical calculation of shear zone refraction's law crossover the different stickiness sand

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Yamamoto, K.^1 ; Yamada, Y.^2 ; Miyazima, S.^2

Faculty of Science and Engineering, Setsunan University, Neyagawa, Osaka

572-8508, Japan^1

Faculty of Engineering, Chubu University, Kasugai, Aichi

487-8501, Japan^2

关键词: Bottom cells;    Equipotential surfaces;    Experimental apparatus;    Numerical calculation;    Parallel pipes;    Refraction patterns;    Sand particles;    Sand systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012091/pdf
DOI  :  10.1088/1742-6596/574/1/012091

来源: IOP

【 摘 要 】

The refraction's law of sheared region near the boundary of two kinds of sand with the different stickiness is investigated by a simulation method. Our experimental apparatus for sand system is one of the simplest sets in order to obtain shear pattern, called linear split- bottom cell. In this paper we give an analysis based on a classical numerical calculation for the above-mentioned system. Although a sand particle has a variety of forms from sphere to needle in general, but here we assume an ensemble of the simplest shape such as cubes in a rectangular parallel pipe which is split into two halves. One of the halves can be moved along the split quasi-statically. We obtain a refraction pattern like an equipotential surface across the interface of different dielectric constants shown in the textbook. Various quantities obtained from our calculation were compared with experiments in the preceding conference. In this conference, we will show the refraction's law at the shear zone boundary crossing over two different sand systems with unequal stickiness.