Modeling of Thermomechanical Behavior of Shape Memory Alloys

Abstract:

This chapter proposes an efficient approach to thermomechanical constitutive modeling for shape memory alloys using a novel separation of a martensite internal variable. This approach assumes that the martensitic internal variable has two components corresponding to two contrary martensite ensembles, which are separated by their opposite signs of contributions to a quantity of transformation strain. The constitutive models, based on a new separating concept, are presented in this chapter for uniaxial and three-dimensional proportional loading. The kinetic relations of these models are constructed using the Brinson model ideas concerning the interphase transformation processes in shape memory alloys. A number of illustrative numerical examples are presented here for one-dimensional modeling. The new separation of the internal variable has prospects for the description of material behavior in cases when mechanical loading may change sign and the phenomena are caused by martensitic reorientation. The conceptual and methodological solutions stated in the present work may be useful for subsequent modeling.

• Periodical: Materials Science Foundations (Volumes 81-82)
• Pages: 77-103
• DOI: https://doi.org/10.4028/www.scientific.net/MSFo.81-82.77
• Online since: March 2015
• Authors: Sergey Pryakhin, Vasili Rubanik
• Keywords: Constitutive Relation, Internal Variable, Kinetic Relation, One-Dimensional Model, Proportional Loading, Shape Memory Alloy (SMA), Six-Dimensional Space, Spatial Model, Thermomechanical Behavior

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