This paper presents an overview of the theories and computer implementation aspects of
phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches …

Phase field fracture models have demonstrated great capacities in simulating crack
nucleation, propagation, branching, and joining in brittle and ductile materials subjected to …

Failure trajectories, probable failure zones, and damage indices are some of the key
quantities of relevance in brittle fracture mechanics. High-fidelity numerical solvers that …

In this work, we present a new physics informed neural network (PINN) algorithm for solving
brittle fracture problems. While most of the PINN algorithms available in the literature …

Standard neural networks can approximate general nonlinear operators, represented either
explicitly by a combination of mathematical operators, eg in an advection–diffusion reaction …

In this work, an adaptive phase-field method is proposed for modeling fracture of
hyperelastic materials at large deformations. The adaptive mesh refinement is facilitated by …

Modeling micro-crack evolution in highly heterogeneous solids has been a major challenge
in brittle materials owing to their complex microstructures and the complicated interactions …

Due to its ability to simulate complex microstructure evolution, the phase-field modeling has
been extensively developed to investigate brittle fracture in recent years. However, low …

This work systematically investigates the mixed-mode fracture propagation in functionally
graded materials. The crack trajectory and load–displacement responses were effectively …

Phase field modeling of fracture is computationally expensive as it demands a very fine
mesh to resolve the damage region. Hence, the practical application of such models are …