Building proper behavior into mathematical models for shape memory alloys

Thomas J. Pence; Yefim Ivshin

doi:10.1117/12.174202

1 May 1994 Building proper behavior into mathematical models for shape memory alloys

Thomas J. Pence, Yefim Ivshin

Proceedings Volume 2192, Smart Structures and Materials 1994: Mathematics and Control in Smart Structures; (1994) https://doi.org/10.1117/12.174202
Event: 1994 North American Conference on Smart Structures and Materials, 1994, Orlando, FL, United States

Abstract

Many mathematical models currently used for modeling shape memory alloy behavior in a control setting make use of an internal variable that has the interpretation of being the phase fraction of either austenite or martensite. Recently, more detailed models have been introduced that further discriminate phase species. These models seem to be pitched at the correct level for implementation in FEM based design protocols in that they are sufficiently detailed to accurately reflect much of the underlying physics, without having to track individual events at the microscale. In order for these models to enjoy reliable predictive status, it is necessary that conditions be built into them that ensure proper qualitative behavior for all processes to which the model will be applied. We discuss how the constitutive functions which enter into these models (such as the phase fraction envelope curves) can be validated to ensure proper behavior in general processes.

Citation Download Citation

Thomas J. Pence and Yefim Ivshin "Building proper behavior into mathematical models for shape memory alloys", Proc. SPIE 2192, Smart Structures and Materials 1994: Mathematics and Control in Smart Structures, (1 May 1994); https://doi.org/10.1117/12.174202

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