Parametric study of random fields of the mechanical properties of the material in a peridynamic model

Resumo

Simulations based on the peridynamic theory are a promising approach to understand the processes
involved in the fracture of different materials. Failure mechanisms of materials are intrinsically related with
nonhomogeneity and randomness on small scales. This fact is an important aspect, because it can change the
mechanical behavior and the fracture location. This work presents a parametric study of the implementation of the
material’s specific fracture energy (Gf) correlated random fields. The specific fracture energy, which is directly
related to the critical stretching of peridynamic bonds, is defined as a 3D scalar random field with Weibull
probability distribution and a defined correlation length. A plate subjected to a traction load illustrates the proposed
approach. The results shows an independence of the fracture pattern with the level of discretization used. This
parametric study contribute to provide flexibility in the calibration of the peridynamic model response allowing
that the fracture patterns and the global material behavior to change and mainly disconnected from discretization.