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Quasistatic propagation of steps along a phase boundary. (English) Zbl 1160.74397
Summary: We study quasistatic propagation of steps along a phase boundary in a two-dimensional lattice model of martensitic phase transitions. For analytical simplicity, the formulation is restricted to antiplane shear deformation of a cubic lattice with bi-stable interactions along one component of shear strain and harmonic interactions along the other. Energy landscapes connecting equilibrium configurations with periodic and non-periodic arrangements of steps are constructed, and the energy barriers separating metastable states are calculated. We show that a sequential one-by-one step propagation along a phase boundary requires smaller energy barriers than simultaneous motion of several steps.

74N20 Dynamics of phase boundaries in solids
74N05 Crystals in solids
80A22 Stefan problems, phase changes, etc.
Full Text: DOI
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