One-dimensional sharp-phase-front-based continuum models of phase transformations in shape memory alloys

Abhijit Bhattacharyya; Vesselin Stoilov

doi:10.1117/12.388236

14 June 2000 One-dimensional sharp-phase-front-based continuum models of phase transformations in shape memory alloys

Proceedings Volume 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics; (2000) https://doi.org/10.1117/12.388236
Event: SPIE's 7th Annual International Symposium on Smart Structures and Materials, 2000, Newport Beach, CA, United States

Abstract

The issue of phase transformations in shape memory alloys is revisited in the 1D context. We focus on problems where there is a sharp interface between the two phase of austenite and martensite. Apart from the usual conservations equations, it is proposed that an extra equation be used to render the system of equations complete, when a first-order transition is considered. Seen within this context, the following two approaches can be derived as special cases: (i) Leo et al approach where the phase boundary temperature is taken to be linearly related to the stress, (ii) Abeyaratne and Knowles approach where a kinetic relation is assumed. Certain other implications of the new approach are discussed in light of these special cases.

Citation Download Citation

Abhijit Bhattacharyya and Vesselin Stoilov "One-dimensional sharp-phase-front-based continuum models of phase transformations in shape memory alloys", Proc. SPIE 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics, (14 June 2000); https://doi.org/10.1117/12.388236

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