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R. Spatschek, D. Pilipenko, E. Brener, C. Müller-Gugenberger and H. Müller-Krumbhaar
Many phase transitions like Martensitic transformations are accompanied by elastic effects, since lattice mismatches between the phases can provoke stresses. We discuss the growth regime of solid-solid transformation by analytical investigations and phase field simulations to find steady state solutions in a strip geometry. In particular, the cases of pure dilatational lattice strain and the emergence of twin structures in hexagonal crystals are investigated. This work is strongly related to a new continuum theory of fracture which self-consistently selects the crack tip shape and the propagation velocity appreciably below the Rayleigh speed. It contains the prediction of tip blunting and splitting for high driving forces. This problem is investigated numerically by phase field simulations and a multipole expansion technique. |
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