A multi-dimensional constitutive model for shape memory alloys. (English) Zbl 0765.73004
Summary: This paper presents a multi-dimensional thermomechanical constitutive model for shape memory alloys (SMAs). This constitutive relation is based upon a combination of both micromechanics and macromechanics. The martensite fraction is introduced as a variable in this model to reflect the martensitic transformation that determines the unique characteristics of shape memory alloys. This constitutive relation can be used to study the complex behavior associated with 2-D and 3-D SMA structures. A simple example using this constitutive model is also presented, which reveals a new and interesting phenomenon of 3-D SMA structures.
MSC:
| 74A20 | Theory of constitutive functions in solid mechanics |
| 74A15 | Thermodynamics in solid mechanics |
| 74A60 | Micromechanical theories |
| 74M25 | Micromechanics of solids |
| 74B99 | Elastic materials |
References:
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