Mechanical Model for Memory Effects of Crack Patterns and Self-Organized Clustering

We propose a mechanical model that incorporates both viscous friction and Amonton–Coulomb-type friction to demonstrate the memory effect of initial conditions. We study coupled equations of motion for particles on the rectangular lattice under the fixed boundary conditions to show the memory effects of crack patterns. Owing to the external oscillation and the fixed boundary conditions, the one-dimensional deformation is maintained near the boundaries. Cracks appear along the deformation in the desiccation process. We further propose another model of particle populations that exhibit clustering. The clustering of particles is induced both by the external oscillation and the constant force. In the desiccation process, cracks appear along the deformation owing to the clustering in the direction perpendicular to the oscillation and parallel to the constant force.