Yongwei Wang, Fei Han, Gilles Lubineau
Strength-induced peridynamic modeling and simulation of fracturesin brittle materials
Computer Methods in Applied Mechanics and Engineering, Volume 374, 1 February 2021, 113558
Abstract
This paper presents a hybrid peridynamics and classical continuum mechanics modeling approach for brittle fracture, in which peridynamics is activated according to a strength criterion. The proposed approach represents a new way of simulating the fracture process, including elastic deformation and crack nucleation and propagation. Classical continuum mechanics and peridynamics are coupled into a closed equation system, and an adaptive algorithm is developed to solve it. The algorithm initially employs classical continuum mechanics throughout the entire structure to describe its mechanical response. Once the stress state of a point reaches the strength of the material, peridynamics is adaptively activated in the vicinity of that point to further describe the crack nucleation and propagation processes. Two-dimensional numerical examples illustrate that successful fracture simulations of complex structure can be achieved by this approach.
Keywords
Peridynamics; Local to nonlocal coupling; Strength criterion; Fracture; Process zone
Link:
https://www.sciencedirect.com/science/article/pii/S004578252030743X
