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A lattice-based model of the kinetics of twin boundary motion. (English) Zbl 1048.74031
Summary: We derive a macroscopic kinetic law for twin boundary motion from a lattice dynamical model. The model is developed for compound and type-1 twins, and it is explicitly illustrated for a Cu-Al-Ni shape memory alloy. The governing multiple-well energy is calculated using an effective interatomic potential; a Frenkel-Kontorowa type model is developed for the dynamics at the lattice scale; and a quasi-continuum approximation is used to determine the continuum-scale kinetics. The model predicts that compound twins in the Cu-Al-Ni shape memory alloy are an order of magnitude more mobile than type-1 twins, which is consistent with experimental observations.

MSC:
74N20 Dynamics of phase boundaries in solids
74A60 Micromechanical theories
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