We propose a numerical model for the dynamics of the austenitic-martensitic transformation which includes the effect of surface energy. Our numerical model uses a nonconforming finite element method to approximate the deformation and a numerical viscosity to stabilize the scheme. We present numerical experiments which demonstrate that the addition of a strain-gradient surface energy results in a more planar austenitic-martensitic interfacial layer.
Bibliographical noteFunding Information:
This work is part of the Transitions and Defects in Ordered Materials Project and was supported in part by the NSF through Grant DMS 911-1572, by the AFOSR through Grant AFOSR-91-0301, by the AR0 through Grants DAAL03-92-G-0003, and DAAL03-89-C-0038 with the AHPCRC at the University of Minnesota, and by a grant from the Minnesota Supercomputer Institute.
- Finite element method
- Surface energy