Fracture is one of the most commonly encountered failure modes of engineering materials
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …

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 …

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 …

Motivated by the successful implementation of the phase-field method (PFM) to simulate
complicated fracture patterns at moderate computational costs in solid materials, many …

This paper proposes a phase field model for fracture in poroelastic media. The porous
medium is modeled based on the classical Biot poroelasticity theory and the fracture …

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is
proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium …

In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

This work presents phase field fracture modeling in heterogeneous porous media. We
develop robust and efficient numerical algorithms for pressure-driven and fluid-driven …

In this work, a swarming computational procedure is presented for the numerical treatment of
the dynamical model of the susceptible, exposed, infected, and recovered (SEIR) classes …