A Lumped Energy Model for Crack Growth in Shape-Memory Materials

Perry H Leo, Thomas W Shield

Research output: Contribution to journalArticle

Abstract

We construct an energy-based model to study crack growth behavior in a shape-memory alloy that undergoes a stress-induced austenite to martensite transformation. The total energy, which is the sum of the elastic energy of the specimen and loading device, the surface energy of the crack, and the energy associated with transforming austenite to martensite, depends on the applied extension, the crack length, and the martensite volume fraction. The crack length and martensite volume fraction are coupled through a transformation criteria at the crack tip. By tracking the progression of equilibrium cracks as extension increases, we show that the transformation leads to a regime of stable crack growth followed by unstable growth. These results are in agreement with experiments on both single crystal and polycrystal shape-memory alloys.

Original languageEnglish (US)
Article number031010
JournalJournal of Applied Mechanics, Transactions ASME
Volume83
Issue number3
DOIs
StatePublished - Mar 1 2016

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Shape memory effect
Martensite
Crack propagation
cracks
Cracks
martensite
Austenite
Volume fraction
shape memory alloys
austenite
energy
Polycrystals
Interfacial energy
Crack tips
crack tips
Single crystals
polycrystals
progressions
surface energy
Experiments

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A Lumped Energy Model for Crack Growth in Shape-Memory Materials. / Leo, Perry H; Shield, Thomas W.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 83, No. 3, 031010, 01.03.2016.

Research output: Contribution to journalArticle

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