Study on behaviors of functionally graded shape memory alloy cylinder

Liu, Bingfei; Wang, Qingfei; Zhou, Rui; Du, Chunzhi; Zhang, Yanan; Zhang, Pan

doi:10.1016/j.camss.2017.11.004

Cited by 6 publications

(5 citation statements)

References 21 publications

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“…According to the theory of the mechanics of composites, the average stress is obtained by considering the stress of each component of the material. Liu et al [25,34,35] and Xue et al [30][31][32][33] had applied the conventional constitutive models of shape memory alloy to the functional gradient shape memory alloy and obtained some very good results. The validation study of the curvature of the FG-SMA beam is presented in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…It is found that the FG-SMA showed the clear superelastic recovery. Liu et al [25] studied the theoretical solution of pseudo-elastic response of FG-SMA cylinder, which found that the gradient of maximum transformation strain had a significant influence on the stress and martensite volume fraction distributions along the radial direction. Soltanieh et al [26] presented a new algorithm about the spatial and time variations in martensite volume fraction along the wires.…”

Section: Introductionmentioning

confidence: 99%

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A theoretical study on asymmetric bending for functionally graded shape memory alloy beam

Wang

Gao

Yang

2019

J Braz. Soc. Mech. Sci. Eng.

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Bending is an attractive mode of operation and application of functionally graded shape memory alloy (FG-SMA). For decades, numerical methods, such as the finite element method, have been used to model the mechanical behavior of these alloys. In this paper, combining with the critical stress-temperature relationship and stress-strain relationship of shape memory alloy, it researched the mechanical behavior of FG-SMA beam under thermal and mechanical loads with the macroscopic constitutive model. The split-step method was adopted to analyze the process of FG-SMA phase transformation in the loading process. The relationship between stress distribution and three factors that included tension-compression asymmetry coefficient, temperature and power exponent were obtained, and the nonlinear controlling equations of FG-SMA beam were acquired. The influence of tension-compression asymmetry coefficient, temperature and power exponent on deflection, curvature and cross section stress, neutral axis and phase boundary were obtained by solving the equations. It was found that the phase transformation of FG-SMA beam became more and more difficult as the increase in temperature and power exponent. Furthermore, the tension-compression asymmetry coefficient had a great influence on the compression side phase boundary, but it had a little influence on the tension side phase boundary.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A theoretical study on asymmetric bending for functionally graded shape memory alloy beam

Wang

Gao

Yang

2019

J Braz. Soc. Mech. Sci. Eng.

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“…Equation ( 24) is substituted into Equations ( 15), ( 21) and (22), and the state variables are updated according to Equation (18) until the end of the inverse phase transformation, when the SMA is completely transformed into austenite; then, the unloading process follows the austenite linear elastic unloading law.…”

Section: Linearly Elastic Loading and Unloadingmentioning

confidence: 99%

“…In addition, some experts have prepared functionally graded shape memory alloy materials through different methods [12][13][14][15] and studied the thermodynamic properties of FG-SMA structures through experimental methods such as X-ray diffraction, transmission electron microscopy, atomic force microscopy and resistance testing [16][17][18]. On this basis, some experts and scholars have described and predicted the mechanical properties of FG-SMAs by constructing mechanical models and have attempted to provide theoretical solutions [19][20][21][22][23][24]. Due to the difficulty of efficiently solving the nonlinear models mentioned above and the complexity of the FG-SMA structure, it is difficult for these models to exert their advantages in practical engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Method of Functionally Graded Shape Memory Alloy Based on UMAT

Kang,

Yu,

Wang

et al. 2024

Mathematics

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Functionally graded shape memory alloy (FG-SMA) is widely used in practical engineering regions due to it possessing the excellent properties of both FG material and SMA material. In this paper, the incremental constitutive equation of SMA was established by using the concept of a shape memory factor. On this basis, the secondary development function of the ABAQUS software 2023 was used to write the user-defined material subroutine (UMAT). The phase transformation and mechanical behavior of transverse and axial FG NiTi SMA cantilever beams under concentrated load at free ends were numerically simulated by discrete modeling. Numerical results show that the stress and shape memory factor were distributed asymmetrically along the thickness direction of the transverse FG-SMA cantilever beam, while the stress and the shape memory factor distributed symmetrically along the thickness direction of the cross section of the axial FG-SMA cantilever beam. The bearing capacity of the axial FG-SMA cantilever beam is stronger than the SMA homogeneous cantilever beam, but weaker than the transverse FG-SMA cantilever beam. The load-bearing capacity of the transverse FG-SMA cantilever beam is twice that of the axial FG-SMA cantilever beam under the same functionally graded parameters and deflection conditions. The discrete modeling method of FG-SMA beams proposed in this paper can simulate the phase transformation and mechanical behavior of an FG-SMA beam well, which provides a reference for the practical application and numerical calculation of FG-SMA structures.

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“…These methods can be better used to prepare binary graded Ni–Ti alloys, but it is difficult to accurately control the graded composition in ternary and multicomponent alloys such as Cu-based SMAs. (ii) A geometric size gradient means that the gradient change of bearing capacity can be realized in a certain direction after the gradient change design of the geometric section of the alloy, resulting in graded properties [15,16,17]. However, in essence, the gradient achieved by this geometric size gradient is not the gradient of material properties but the gradient of material bearing capacity due to the change of section size.…”

Section: Introductionmentioning

confidence: 99%

Effect of Gradient Heat Treatment on Microstructure and Properties of Cu–Al–Mn Shape Memory Alloy

et al. 2019

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The columnar-grained Cu–Al–Mn shape memory alloys (SMAs), which have good shape memory properties and are prepared by a unidirectional solidification technique, were subjected to a gradient heat treatment under temperatures ranging from 100 to 450 °C. After this treatment, the microstructure, hardness, transformation temperature and shape memory properties of these samples could exhibit gradient changing trends, all of which were investigated by optical microscope, scanning electron microscopy (SEM), a Vickers microhardness tester, and a compression machine. The microstructure observation result shows that the acicular bainite-precipitated phase produces from scratch and then grows continuously with the increasing of the heat treatment temperature, finally presenting a graded distribution from one end section to another of the sample. The hardness tests give the samples results also increasing with temperature. Specifically, the change relationship between hardness and the treatment temperature mathematically satisfies dynamic function. In addition, it can be concluded from mechanical tests the compressive elastic–superelastic strain and strength of the samples show gradient variation features. Overall, our experimental investigation indicates that a gradient heat treatment is an effective way to conduct microstructure control or design for the Cu–Al–Mn SMAs, and their graded properties are mainly caused by the different fractions of the bainite phase producing in different local areas after the gradient heat treatment.

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Study on behaviors of functionally graded shape memory alloy cylinder

Cited by 6 publications

References 21 publications

A theoretical study on asymmetric bending for functionally graded shape memory alloy beam

A theoretical study on asymmetric bending for functionally graded shape memory alloy beam

Finite Element Method of Functionally Graded Shape Memory Alloy Based on UMAT

Effect of Gradient Heat Treatment on Microstructure and Properties of Cu–Al–Mn Shape Memory Alloy

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