presenter: L.A. Melara Jr. L.A. Melara Jr., D. Anderson,A.J. Kearsley, G.B. McFadden
Developing numerical methods for predicting microstructure in materials is an extremely large and important research area. Two examples of material microstructures are Austenite and Martensite. Austenite is a microscopic phase with simple crystallographic structure while Martensite is one with a more complex structure. An important task in materials science is the development of numerical procedures which accurately predict microstructures in Martensite near the Austenite-Martensite interface. We present a novel numerical technique for performing this task. The method relies on a combined specialized optimization algorithm and hybrid finite element scheme for approximating these delicate microstructures. Used together, we can successfully minimize an approximation to the total stored energy near the interface of interest. Preliminary results suggest that the minimizers of this energy functional located by the developed numerical algorithm appear to display the desired characteristics. Numerical results illustrate the effect of the selected finite element space together with the optimization algorithm. For the sake of comparison different models for surface energy are employed and the resulting energy function is simulated, minimized and the numerical results are tabulated and presented.