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One-Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-Constant Material Functions and Redefined Martensite Internal Variable
Abstract
A one-dimensional constitutive model for the thermomechanical behavior of shape memory alloys is developed based on previous work by Liang and Tanaka. An internal variable ap proach is used to derive a comprehensive constitutive law for shape memory alloy materials from first principles without the assumption of constant material functions. This constitutive law is of such a form that it is well suited to further practical engineering applications and calculations. A separation of the martensite fraction internal variable into temperature-induced and stress- induced parts is presented and justified, which then allows the derived constitutive law to accurately represent both the pseudoelastic and shape memory effects at all temperatures. Several numerical ex amples are given that illustrate the ability of the constitutive law to capture the unique thermome chanical behavior of shape memory alloys due to their internal phase transformations with stress and temperature.
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Cited by
Stimulus-responsive shape memory materials: a review
Sun, L., Huang, W. M., Ding, Z., Zhao, Y., Wang, C. C., Purnawali, H., & Tang, C. (2012) · Materials & Design · doi:10.1016/j.matdes.2011.04.065 · Cited by 1,105
An overview of vibration and seismic applications of NiTi shape memory alloy
Saadat, S., Salichs, J., Noori, M., Hou, Z., Davoodi, H., Bar-on, I., Suzuki, Y., & Masuda, A. (2002) · Smart Materials and Structures · doi:10.1088/0964-1726/11/2/305 · Cited by 384
An Overview of Shape Memory Alloy-Coupled Actuators and Robots
Rodrigue, H., Wang, W., Han, M.-W., Kim, T. J. Y., & Ahn, S.-H. (2017) · Soft Robotics · doi:10.1089/soro.2016.0008 · Cited by 269
Nanostructured titanium-based materials for medical implants: Modeling and development
Mishnaevsky, L., Levashov, E., Valiev, R. Z., Segurado, J., Sabirov, I., Enikeev, N., Prokoshkin, S., Solov’yov, A. V., Korotitskiy, A., Gutmanas, E., et al. (2014) · Materials Science and Engineering: R: Reports · doi:10.1016/j.mser.2014.04.002 · Cited by 268
Recentering Shape Memory Alloy Passive Damper for Structural Vibration Control
Qian, H., Li, H., Song, G., & Guo, W. (2013) · Mathematical Problems in Engineering · doi:10.1155/2013/963530 · Cited by 82
Metadata
- Authors
- Brinson, L. C.
- Venue
- Journal of Intelligent Material Systems and Structures
- Publisher
- SAGE Publications
- Published
- 1993-04
- Volume
- 4
- Issue
- 2
- Pages
- 229-242
- ISSN
- 1045-389X (ISSN-L)
- 1530-8138
- OpenAlex
- W2157570937
- Cited by
- 1,629
- References
- 0
- FWCI
- 8.88
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: One-Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-Constant Material Functions and Redefined Martensite Internal Variable. https://app.cochat.ai/papers/10.1177/1045389x9300400213
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- Brinson, L. C. (1993). One-Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-Constant Material Functions and Redefined Martensite Internal Variable. Journal of Intelligent Material Systems and Structures. https://doi.org/10.1177/1045389x9300400213
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