| Abstract: |
| The \emph{Cofactor Conditions}, proposed and studied in X. Chen et al, JMPS 2013, underlie a comprehensive set of all geometric nonlinear conditions of compatibility between crystal structures of different symmetries. In this talk, we will present the mathematical formulation of the Cofactor Conditions and their insights to the design of low-hysteresis alloys undergoing reversible phase transformation. We will also discuss the algorithm of finding the lattice correspondence and transformation strains of the initial and final phases, which sometimes leads to the discovery of unconventional transformation pathways. |
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