Further reading and other resources

SMA-REACT is not the only tool available for shape memory alloy engineers, and the model formulation we use barely scratches the surface of what’s available in literature. Here are a few helpful resources for the interested user.

Literature

Reference	Description
Lagoudas et al. [LHC+12]	The definitive source for the theoretical and algorithmic development of the Lagoudas SMA constitutive model.
Lagoudas [Lag08]	A thorough reference for characterizing and modeling SMAs, with extensions to 3D behavior, plasticity, and other higher-order behaviors. New version coming soon.
Xu et al. [XSBL21]	A newer, more comprehensive shape memory alloy constitutive model including finite strains, transformation-induced plasticity, and the two-way shape memory effect.

Other resources

Link	Description
SMA_database	A NASA-maintained database of shape memory alloy test data, with material property extraction and plotting routines [BTP+24]
Xu_github	Github with UMATs for the newer shape memory alloy model [XSBL21].
ASMADA	A tool to automatically extract properties defined in SMA ASTM standards [KKL21].

[ACRU09]

Ferdinando Auricchio, Alberto Coda, Alessandro Reali, and Marco Urbano. SMA Numerical Modeling Versus Experimental Results: Parameter Identification and Model Prediction Capabilities. Journal of Materials Engineering and Performance, 18(5):649–654, August 2009. URL: https://doi.org/10.1007/s11665-009-9409-7 (visited on 2023-09-20), doi:10.1007/s11665-009-9409-7.

[BGB+22]

G. S. Bigelow, A. Garg, O. Benafan, R. D. Noebe, S. A. Padula, and D. J. Gaydosh. Development and testing of a Ni50.5Ti27.2Hf22.3 high temperature shape memory alloy. Materialia, 21:101297, March 2022. URL: https://www.sciencedirect.com/science/article/pii/S2589152921002994 (visited on 2023-09-22), doi:10.1016/j.mtla.2021.101297.

[BTP+24]

Glen S Bigelow, Zachary D Toom, Brook Park, Othmane Benafan, Peter E Caltagirone, and Julie E Foroosh. SMAnalytics Automated Shape Memory Test Analysis Software User’s Manual: UCFTC, UPFR, and DSC Test Methods, Version 1.0.2. 2024. URL: https://software.nasa.gov/software/LEW-20278-1.

[Bri93]

L.C. Brinson. 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, 4(2):229–242, April 1993. URL: http://journals.sagepub.com/doi/10.1177/1045389X9300400213 (visited on 2024-04-24), doi:10.1177/1045389X9300400213.

[KKL21]

Matthew C. Kuner, Anargyros A. Karakalas, and Dimitris C. Lagoudas. ASMADA—A tool for automatic analysis of shape memory alloy thermal cycling data under constant stress. Smart Materials and Structures, 30(12):125003, 2021. Publisher: IOP Publishing. URL: https://iopscience.iop.org/article/10.1088/1361-665X/ac2de2/meta (visited on 2023-09-23).

[LHC+12]

D. Lagoudas, D. Hartl, Y. Chemisky, L. Machado, and P. Popov. Constitutive Model for the Numerical Analysis of Phase Transformation in Polycrystalline Shape Memory Alloys. International Journal of Plasticity, 32–33:155–183, 2012.

[Lag08]

Dimitris C. Lagoudas. Shape Memory Alloys: Modeling and Engineering Applications. Springer, June 2008. ISBN 978-0-387-47685-8. Google-Books-ID: NgHpMRUW_sIC.

[SNG+19]

Giulia Scalet, Fabrizio Niccoli, Cedric Garion, Paolo Chiggiato, Carmine Maletta, and Ferdinando Auricchio. A three-dimensional phenomenological model for shape memory alloys including two-way shape memory effect and plasticity. Mechanics of Materials, 136:103085, September 2019. URL: https://www.sciencedirect.com/science/article/pii/S0167663619301346 (visited on 2024-06-11), doi:10.1016/j.mechmat.2019.103085.

[WM24]

Patrick Walgren and Jacob Mingear. [PRE-PRINT] The Shape Memory Alloy Rendering and Calibration Tool (SMA-REACT). Shape Memory and Superelasticity, 2024.

[XSBL21] (1,2)

Lei Xu, Alexandros Solomou, Theocharis Baxevanis, and Dimitris Lagoudas. Finite strain constitutive modeling for shape memory alloys considering transformation-induced plasticity and two-way shape memory effect. International Journal of Solids and Structures, 221:42–59, June 2021. URL: https://www.sciencedirect.com/science/article/pii/S0020768320300974 (visited on 2024-06-11), doi:10.1016/j.ijsolstr.2020.03.009.