Abstract
Under certain circumstances, cracks can grow faster than the slowest characteristic wave speed of the material. This so-called intersonic or transonic fracture phenomenon is studied in the present work by means of a phase field fracture model. The model makes use of a regularized representation of the fracture surface. This kind of models intrinsically fulfill the boundary conditions at the evolving crack surface and implicitly govern the crack evolution by a set of partial differential equations. The set includes the momentum balance as well as a phase field equation and is solved by means of a finite element scheme in this work. The simulated crack speeds agree well with experiments and molecular dynamic simulations reported in the literature.
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