6533b822fe1ef96bd127d972

RESEARCH PRODUCT

Crack bifurcations in a strained lattice

Jussi TimonenJan ÅStröm

subject

Condensed Matter::Materials ScienceScaling lawBrittlenessMaterials scienceLattice (order)Bending stiffnessPhysics::Accelerator PhysicsFracture mechanicsMechanicsPhysics::Classical PhysicsLattice networkPhysics::Geophysics

description

Dynamic crack propagation in a strained, granular, and brittle material is investigated by modeling the material as a lattice network of elastic beams. By tuning the strain and the ratio of axial to bending stiffness of the beams, a crack propagates either straight, or it branches, or it bifurcates. The crack tip velocity is calculated approximately for cracks that propagate straight. In a bifurcated crack the number of broken beams follows a scaling law. The shape of the branches is found to be the same as in recent experiments.

https://doi.org/10.1103/physrevb.54.r9585