In-plane Fracture Front Propagation in the Thin Plate Fiber Bundle Model
Abstract
A new history independent thin plate Fiber Bundle Model is derived in or-der to model in-plane material fracture. The model provides an easy wayof studying the not yet fully understood fracture processing zone.Only considering relatively small system sizes, the model seems to be con-sistent with experimental observations, giving a large scale roughness ex-ponent of 0.27 ± 0.06.No direct value was obtained for the small scale regime. However, its be-havior and estimated fractal dimension is believed to be consistent with asmall scale roughness exponent of 2/3,described by gradient percolation.The high velocity tail of the velocity distribution of the fracture front, seemedto be consistent with a power law with an exponent of -0.75 ± 0.07.This is, however, not consistent with the experimental value of -2.55 ± 0.15.