Mechano-Chemical Spinodal Decomposition: A Theory of Phase Transformation in Crystalline Solids, and Development of Second-Order Accurate, Unconditionally Stable Time Integration Algorithms
Friday, April 28, 2017
11:10 am - 12:10 pm
Professor Krishna Garikipati, University of Michigan, Mechanical Engineering and Mathematics
I will present a theory for solid state phase transformations that are caused by free energy densities with domains of non-convexity in strain-composition space; we refer to the non-convex domains as mechano-chemical spinodals. The non-convexity with respect to composition and strain causes segregation into phases with different crystal structures. The model couples the classical Cahn-Hilliard model with Toupin's theory of gradient elasticity at finite strains. Both systems are represented by fourth-order, nonlinear, partial differential equations.
Carpenter, Ruby Nell