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Dresden 2011 – scientific programme

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MM: Fachverband Metall- und Materialphysik

MM 46: Mechanical Properties III

MM 46.10: Talk

Friday, March 18, 2011, 12:45–13:00, IFW D

Fracture as Pattern Formation Process — •Robert Spatschek1, Michael Fleck2, Denis Pilipenko2, and Efim Brener31Max-Planck-Institut für Eisenforschung — 2Universität Bayreuth — 3Forschungszentrum Jülich

Fracture is an important process in materials science, that still lacks fundamental understanding. Here we report on a series of theoretical investigations and numerical simulations on crack propagation, which treat this problem in the spirit of an interfacial pattern formation process. This means, that not only the crack velocity, but also the entire shape of the crack with a finite tip radius is self-consistently predicted by the theory. For fast cracks in brittle materials with velocities close to the speed of sound inertial effects become important, and for lower speeds, in particular close to the Griffith point, we consider viscoelastic bulk dissipation as efficient selection mechanism for steady state crack growth. We use phase field simulations to describe also the combined effect of both inertia and bulk damping. Alternatively, multipole expansion methods provide exact solutions for each effect separately, and perturbative approaches are used for the combination of both physical effects. Altogether, this allows to obtain a broad perspective on the predictions of the crack growth models.

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