Thermomechanical Modeling of Stress Relaxation in Shape Memory Alloy Wires

Zare, Fateme; Kadkhodaei, Mahmoud; Salafian, Iman

doi:10.1007/s11665-015-1440-2

Cited by 8 publications

(10 citation statements)

References 14 publications

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“…Results of stress relaxation in the wire specimen: (a) comparison of the numerically obtained stress–strain response with the experimental data (Zare et al, 2015) and (b) evolution of the phase transformation as a function of time and the normalized axial position.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…A NiTi wire is studied in this section. The material parameters are summarized in Table 2 (Zare et al, 2015). The tensile test is conducted at the initial temperature of 15°C and the strain rate of 7.5 × 10 −4 s −1 .…”

Section: Numerical Resultsmentioning

confidence: 99%

“…They showed that the stress–strain response initially varies cycle by cycle but finally, after a finite number of cycles, reaches a stable curve. This approach was used by Zare et al (2015, 2016) to study stress relaxation and stress recovery in SMA wires. Their findings show that if the applied strain is kept constant during the inelastic response of an SMA, temperature evolution will cause the stress to change.…”

Section: Introductionmentioning

confidence: 99%

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A non-local implicit gradient-enhanced model for thermomechanical behavior of shape memory alloys

Badnava

Mashayekhi

Kadkhodaei

et al. 2018

Journal of Intelligent Material Systems and Structures

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A three-dimensional, implicit gradient-enhanced, fully coupled thermomechanical constitutive model is developed within the framework of thermodynamic principles for NiTi shape memory alloys. This work focuses on unstable behaviors of NiTi samples under different thermomechanical loading conditions. Temperature variation and its coupling effect on non-local behavior of a shape memory alloy during a loading–unloading cycle at different strain rates are considered. The proposed constitutive equations are implemented into the finite element software ABAQUS, and the numerical investigations indicate that the used procedure is an effective computational tool for simulation of several behaviors of NiTi samples including phase front nucleation and propagation, stress–strain–temperature responses, and transformation-induced stress relaxation. The obtained results are shown to be in a good agreement with available experimental and numerical findings in the literature. The effectiveness of the model in removing mesh sensitivity is evaluated by investigating the mesh-dependence issue for the low strain rate problems through numerical examples.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A non-local implicit gradient-enhanced model for thermomechanical behavior of shape memory alloys

Badnava

Mashayekhi

Kadkhodaei

et al. 2018

Journal of Intelligent Material Systems and Structures

Self Cite

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“…The element node displacements and forces are given by Eqs. (12)- (14) as follows: Figure 5. Steel beam bar-SMA setup.…”

Section: Sma Model Implementationmentioning

confidence: 99%

“…These temperatures are crucial since they are used to calculate certain material constants. More work has been done in improving the already existing models [9,[12][13][14][15]. This chapter proposes a one-dimensional (1D) new model to describe the physical behavior of SMA for all transformation ranges.…”

Section: Introductionmentioning

confidence: 99%

Linear Shape Memory Alloy Thermomechanical Actuators

Msomi¹,

Oliver²

2018

Shape-Memory Materials

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The thermally activated changes in crystal structure in nickel-titanium shape memory alloy (SMA) material, which produces transformation strains of an order of magnitude higher than and opposite to the thermal strains, have been described using different models. Some of these models are defined by cyclic functions (trigonometric functions) which they become complex to control when they are subjected to a wide range of transformation temperatures. This chapter presents an alternative model to better describe the behavior of SMA for a more general temperature range, which an SMA-powered actuator might be subjected to. The proposed model is then implemented to the analysis of one-dimensional (1D) problem oriented to the two-dimensional (2D) space. The simulation results were then graphically compared to the experiment.

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