Conference Agenda

Peridynamics and phase-field fracture are non-local methods to compute fracturing solids efficiently. While cracks in a solid are sharp two-dimensional interfaces, the phase-field approach regularizes the material discontinuities with smooth transitions between broken and unbroken states. This allows convenient calculations for problems with static or dynamic crack propagation. The deformation and the phase field follow energy optimization but rely on the classical continuum theory to describe the solid.
In contrast, the peridynamic modeling of the body is already based on a non-local description of the continuum. This entails problems, especially with the reproducibility of the classical solutions, but offers a very efficient calculation method for dynamic crack propagation.
In this lecture, both methods will be presented and compared with each other, particularly with regard to dynamic crack propagation. We will study the relationships of critical non-local fracture parameters and focus on the accuracy of the two methods in simulating wave propagation, superposition, and cracking at critical states, e.g., for simulating splintering slices and breaking spaghetti.