A 2D granular medium with rotating particles

摘要: A two-dimensional (2D) model of a granular medium is represented as square lattice consisting elastically interacting round particles possessing one rotational and two translational degrees freedom. The differential equations describing propagation interaction waves various types in such have been derived the long-wavelength approximation. Accounting for microrotations moment interactions between them leads to consideration so-called microrotation (spin waves). In absence microrotations, governing degenerate into 2D Lame anisotropic media. one-to-one correspondence has established microstructure parameters effective elasticity constants second-order. Dependence on size grains analyzed. proposed compared continuous approximation Cosserat continuum macroscopic anisotropy.