Opportunities in Martensite Theory

Abstract
A workshop has explored interactions of materials science, applied mechanics, physics and mathematics in understanding fundamentals of martensitic transformations. System theory offers a framework for addressing realistic complexity. Theory of invariant-plane kinematics has been extended to multivariant plate groups and hierarchical structures. Electronic total energy calculations explore the origins of martensitic phase stability, and Landau-Ginzberg models for transformations with and without shuffles provide nonlocal continuum theories for treatment of interfacial structure and mobility as well as the competition between classical and nonclassical transformation mechanisms. Quantitative kinetic theory incorporates defect distributions, but requires further analysis of the evolution of mean particle volume. Kinetic theory provides the basis for constitutive relations for transformation plasticity.