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A computational model for the indentation and phase transformation of a martensitic thin film
Affiliation:School of Mathematics, University of Minnesota, 206 Church Street SE, Minneapolis, MN 55455, USA
Abstract:
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.
Keywords:B. Thin film   Martensite   Austenite   Phase transformation   Nucleation
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