Multi-scale constitutive model of magnetic shape memory alloys

摘要

Important advances in multi-scale computer simulation techniques for computational materials science have been made in the last decade as scientists and engineers strive to imbue continuum-based models with more-realistic details at quantum and atomistic scales. One major class of multi-scale models directly couples the atomistic detail to the macro region modeled using continuum concepts and finite element methods. Here, the development of such coupled atomistic/continuum model is presented within a single coherent framework with the aim of providing quantitative description of the constitutive behavior of magnetic shape memory alloys. A formulation of the Helmholtz free energy potential based on one-dimensional Ising model has been derived. The developed thermodynamic potential has been used in the context of the sharp phase front-based continuum model of the first order phase transformations suggested by Stoilov and Bhattacharyya (Acta Mat. 2002).