2007
DOI: 10.1088/0964-1726/16/6/013
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Phase diagram kinetics for shape memory alloys: a robust finite element implementation

Abstract: A physically based one-dimensional shape memory alloy (SMA) model is implemented into the finite element software ABAQUS via a user interface. Linearization of the SMA constitutive law together with complete transformation kinetics is performed and tabulated for implementation. Robust rules for transformation zones of the phase diagram are implemented and a new strategy for overlapping transformation zones is developed. The iteration algorithm, switching point updates and solution strategies are developed and … Show more

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Cited by 38 publications
(30 citation statements)
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“…where G is shear elastic modulus, d and D represent the wire and spring diameter, repectively, N stands for spring number of coils and Ω includes the phase transformation contribution factor. For calculating the martensite fraction, Brinson’s generalized model (Gao et al, 2007) can be used, which is specifically made for SMA spring (Hadi et al, 2010, 2016). In this model, phase percentage can be extracted from the phase diagram.…”
Section: Dynamic Analysismentioning
confidence: 99%
“…where G is shear elastic modulus, d and D represent the wire and spring diameter, repectively, N stands for spring number of coils and Ω includes the phase transformation contribution factor. For calculating the martensite fraction, Brinson’s generalized model (Gao et al, 2007) can be used, which is specifically made for SMA spring (Hadi et al, 2010, 2016). In this model, phase percentage can be extracted from the phase diagram.…”
Section: Dynamic Analysismentioning
confidence: 99%
“…Indeed, the main advantage of this approach is the simplicity of implementation in commercial codes, since it only requires defining temperature-dependent material properties, such as elastic modulus E and Coefficient of Thermal Expansion (CTE) α . However, in a more advanced design stage, detailed SMA constitutive models [ 135 , 136 , 137 , 138 , 139 ] must be used to assess the behavior of the SMA actuators.…”
Section: Numerical Simulationmentioning
confidence: 99%
“…Several FEM implementations have been reported in literature characterizing the specific behavior of SMAs. [25][26][27][28][29] Most FEA are performed based on constitutive models that explain some unique behavior of SMAs. 25,[30][31][32][33][34][35][36][37] This paper presents the design, the finite element model of a newly developed SMA actuator and the necessary experiments conducted.…”
Section: Introductionmentioning
confidence: 99%