We present a numerical method for the approximation of microstructure in martensitic crystals by piecewise laminates, and we give computational results for several three-dimensional models of martensitic microstructure by using piecewise second-order laminates.
Bibliographical noteFunding Information:
This work was supported in part by NSF DMS 95-05077, by NSF DMS-0074043, by AFOSR F49620-98-1-0433, by the Institute for Mathematics and Its Applications, by the Institute for Pure and Applied Mathematics, by the Minnesota Supercomputer Institute, and by GA AV Cˇ R Grant no. A 107 5005.
- Finite element
- Rank-one convexiflcation