Dynamic fracture modelling using Peridynamics
Understanding and predicting crack propagation in brittle and quasi-brittle materials, which always is a dynamic process on some scale, is of crucial importance in a number of applications. One example specifically of interest for the presentation is the excavation of tunnels by means of disc cutters, which is based on the dynamic fragmentation of the rock at the tunnel face to advance the tunnel boring machine. Although various models based on discrete and continuum numerical representations of fracture propagation at various spatial scales have been proposed since the 1970s, a complete theory able to describe the process of dynamic fracture quantitatively still does not seem to be available. Nucleation and propagation of even a single crack couples various physical mechanisms on widely varying spatial and temporal scales.
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