[en] A scalable algorithm for modeling dynamic fracture and fragmentation of solids in
three dimensions is presented. The method is based on a combination of a discon-
tinuous Galerkin (DG) formulation of the continuum problem and Cohesive Zone
Models (CZM) of fracture. Prior to fracture, the flux and stabilization terms aris-
ing from the DG formulation at interelement boundaries are enforced via interface
elements, much like in the conventional intrinsic cohesive element approach, albeit
in a way that guarantees consistency and stability. Upon the onset of fracture, the
traction-separation law (TSL) governing the fracture process becomes operative
without the need to insert a new cohesive element. Upon crack closure, the rein-
statement of the DG terms guarantee the proper description of compressive waves
across closed crack surfaces. The main advantage of the method is that it avoids the need to propagate topo- logical changes in the mesh as cracks and fragments develop, which enables the indistinctive treatment of crack propagation across processor boundaries and, thus,
the scalability in parallel computations. Another advantage of the method is that it
preserves consistency and stability in the uncracked interfaces, thus avoiding issues
with wave propagation typical of intrinsic cohesive element approaches.
A simple problem of wave propagation in a bar leading to spall at its center is used
to show that the method does not affect wave characteristics and as a consequence
properly captures the spall process. We also demonstrate the ability of the method
to capture intricate patterns of radial and conical cracks arising in the impact of
ceramic plates which propagate in the mesh impassive to the presence of processor
boundaries.
Office of Naval Research under grant N00014-07-1-0764. Partial support from the U.S. Army through the Institute for Soldier Nanotechnologies, under Contract DAAD-19-02-D-0002 with the U.S. Army Research Office
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