Otsuki Michio, Hayakawa Hisao
Department of Materials Science, Shimane University, Matsue 690-8504, Japan.
Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):042202. doi: 10.1103/PhysRevE.90.042202. Epub 2014 Oct 3.
Shear modulus of frictionless granular materials near the jamming transition under oscillatory shear is numerically investigated. It is found that the shear modulus G satisfies a scaling law to interpolate between G∼(ϕ-ϕJ)(1/2) and G∼γ0(-1/2)(ϕ-ϕJ) for a linear spring model of the elastic interaction between contacting grains, where ϕ, ϕJ, and γ0 are, respectively, the volume fraction of grains, the fraction at the jamming point, and the amplitude of the oscillatory shear. The linear relation between the shear modulus and ϕ-ϕJ can be understood by slip avalanches.
对振荡剪切作用下接近堵塞转变的无摩擦颗粒材料的剪切模量进行了数值研究。结果发现，对于接触颗粒间弹性相互作用的线性弹簧模型，剪切模量G满足一个标度律，以在G∼(ϕ - ϕJ)^(1/2)和G∼γ0^(-1/2)(ϕ - ϕJ)之间进行插值，其中ϕ、ϕJ和γ0分别是颗粒的体积分数、堵塞点处的分数以及振荡剪切的振幅。剪切模量与ϕ - ϕJ之间的线性关系可以通过滑动雪崩来理解。
