We will discuss some recent developments in the development of computational methods for simulating fracture and fragmentation. The first part of the seminar will focus on gradient damage based methods, including phase field and thick level set methods, for simulating dynamic fragmentation. These problems are challenging because they span several spatial and temporal scales, and they involve dramatic changes in topology. Advances in gradient based damage methods have in large part addressed challenges in representing the complex geometrical changes that are integral to fragmentation. We will present recent results that demonstrate the ability of gradient-based damage models to recover basic scaling laws in fragmentation simulations.
The second part of the seminar will focus on the development of fracture networks in particulate raft systems. Particulate rafts form when a monolayer of particles are placed at an air-liquid interface. The particles interact with the underlying fluid to form a quasi two-dimensional solid that will buckle and fracture. In particular, the introduction of surfactant to the system results in the growth of fracture networks that exhibit many common features with fragmentation, such as crack branching and arrest. More fundamentally, this simple system represents an idealized model for studying fluid-assisted crack growth. The seminar will present recent work in modeling the diffusion of surfactant into particle raft systems and the resulting formation of fracture networks.