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Phase field modeling of fracture and composite materials
The phase field method is a very powerful numerical method to solve moving boundary problems. Here we demonstrate how it can be applied to various processes involving sound propagation and fracture. This approach is related to a new theory of fracture which describes in particular the fast growth of cracks. We study the propagation of elastic waves, the determination of stress intensity factors for moving cracks with extended tips, and the interaction and coarsening of cracks. Other examples are the influence of elastic effects on phase transitions and the delamination in composite materials.