We propose a computational model for a stress-induced martensitic phase transformation of a single-crystal thin film by indentation and its reverse transformation to austenite by heating. Our model utilizes a surface energy that allows sharp interfaces with finite energy and a penalty that forces the film to lie above the indenter and undergo a stress-induced austenite-to-martensite phase transformation. We introduce a method to nucleate the martensite-to-austenite phase transformation since in our model the film would otherwise remain in the martensitic phase in a local minimum of the energy.
Bibliographical noteFunding Information:
This work was supported in part by NSF DMS 95-05077, NSF DMS-0074043, AFOSR F49620-98-1-0433, ARO DAAG55-98-1-0335, the Institute for Mathematics and Its Applications, and the Minnesota Supercomputer Institute.
Copyright 2008 Elsevier B.V., All rights reserved.
- B. Thin film
- Phase transformation