Modeling and numerical simulation of crack propagation using peridynamics

Resumo

Different damage models in peridynamics have been proposed to predict dynamic fracture of brittle

materials. The prototype micro-brittle (PMB) material and its modified version, the DTT model, concern a bond-
based constitutive model together with bond-breakage damage criteria. These models consider only the elongation

of peridynamic bonds with fixed Poisson’s ratio. To circumvent this limitation, the state-based model LSJ was

recently proposed, which incorporates a dilatation term in its constitutive relations. It concerns an interaction-
breakage damage criterion that has two distinct damage factors, one associated with elongation and the other one

with dilatation. We modify the LSJ model to obtain bond-breakage damage criteria, called the LSJ-T model. In
addition, we also introduce bond-breakage criteria in a two-dimensional ordinary, state-based peridynamic model,
which we call the LPS-T model. To compare the crack propagation paths obtained numerically from these damage
models, we consider a thin glass plate with an initial semi-crack under mode I loading. Overall, the models were
able to grasp the main characteristics of crack propagation, such as crack propagation speed, branching, and crack
pattern. The modified version LSJ-T and DTT were the only ones presenting symmetry and no arrested branches
in the crack paths, indicating a numerically stable crack propagation.