A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite

Auricchio, Ferdinando; Sacco, Elio

doi:10.1016/s0020-7462(96)00130-8

Cited by 254 publications

(143 citation statements)

References 20 publications

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“…As mentioned in the references [7,8], some phase transformations are pressure-dependent. To model such an effect, the Von-Mises-typed transformation surfaces are introduced:…”

Section: Constitutive Modelmentioning

confidence: 98%

Constitutive Model of Shape Memory Alloy considering the effect of Martensite Plasticity for Biomedical Applications

Wang¹

2017

Advances in Computer Science Research

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Abstract. This paper focuses on the super-elastic characterization of Ni-based shape memory alloys for biomedical applications. Shape memory alloy (SMA) have presented excellent characterization in biomedical application fields, such as high corrosion resistance, bio-compatible, non-magnetic, and the unique physical properties with the capability to replicate those of human tissues and bones, and so on. In this study, a shape memory alloy (SMA) constitutive model is proposed that is capable of describing SMA super-elastic features and the plasticity effects. Finally, the analyzed results show good ability to predict y the experimental data.

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“…As mentioned in the references [7,8], some phase transformations are pressure-dependent. To model such an effect, the Von-Mises-typed transformation surfaces are introduced:…”

Section: Constitutive Modelmentioning

confidence: 98%

Constitutive Model of Shape Memory Alloy considering the effect of Martensite Plasticity for Biomedical Applications

Wang¹

2017

Advances in Computer Science Research

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“…For the purpose of simplification of the calculation process, we introduce a piecewise model of pseudo-elasticity as shown in Figure 1 (b). The fundamental equations utilized in this research can be seen in (Auricchio & Sacco, 1997;Hu, 2013;Lagoudas et al, 2001). …”

Section: Constitutive Model Of Smamentioning

confidence: 99%

Optimal Design of Hanging Truss Having SMA Wires (From Vibration Isolation and Attenuation Viewpoints)

Zhang¹,

Hanahara²,

Tada³

2017

MER

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A column-type truss structure is generally unstable without diagonal bracing members. It is, however, mechanically stable in so-called hanging configuration due to the effect of gravitational force. This kind of structure can isolate an apparatus installed at its tip end from the influence of the vibration of the support ceiling, where the hanging truss structure is placed. The relationship between the stress and strain of the shape memory alloy (SMA) material in relatively high temperature condition has a hysteretic loop, which can be adopted for the purpose of vibration attenuation and isolation. A truss structure with bracing SMA wires in hanging configuration is expected to possess both of the abilities of vibration isolation and attenuation. In this study, optimal placements of SMA wires are obtained by a GA-based approach from the vibration isolation and attenuation points of view under the constraint condition of the number of the SMA wires. Crossover and mutation operators in order to deal with the constraint condition of the number of SMA wire members are proposed. The non-dominated Pareto fronts are obtained for the cases of various numbers of SMA wire members. On the basis of the calculations, it has been confirmed that the number and the placement of the SMA wires are significant factors on the effects of vibration isolation and attenuation. Most of the optimal configurations have one common feature that the SMA wires are distributed close to the middle of the hanging truss structures and there are few SMA wires at the truss units near the support ceiling as well as the peripheral end. The placements of SMA wires in optimal solutions show, however, a tendency of decentralization in the case of emphasis on vibration isolation.

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“…A class of thermo-mechanical models with assumed phase transformation kinetics was firstly proposed by Tanaka [12], in which an internal variable ξ was used to represent the martensite volumetric fraction. Extent researches were conducted by several authors Brinson [13]; Boyd and Lagoudas [14]; Tamai and Kitagawa [15] and Auricchio and Sacco [16].…”

Section: Constitutive Models Of Smasmentioning

confidence: 99%

“…3 represents an upper bound for all kinds of elastic modules summarized by Auricchio, but experimental evidence shows that the assumption is quite unrealistic (Auricchio and Sacco [16]). For this reason, the equivalent modulus is adopted in Reuss scheme as follows:…”

Section: 2mentioning

confidence: 99%

Dynamic Numerical Simulation of Steel Frame-Typed Piers Installed With Sma Damping Devices Based on Multi-Linear One Dimensional Constitutive Model

Luo

Usami

2010

Volume 6 Number 2

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ABSTRACT:In this paper, the effectiveness of seismic performance upgrading is studied by adoption of damping devices made of shape memory alloys (SMAs). An axial-type SMA damper is constructed and modeled on the basis of a modified multi-linear one dimensional constitutive model of SMAs. Time history analyses are carried out on typical steel frames with SMA damping devices. Performance parameters for seismic performance upgrading are investigated in consideration of four influence factors, i.e., strength ratio, martensite fraction, length ratio, and ground motion. Dynamic analyses of bare frames and frames with equivalent BRB dampers are also conducted for comparisons. Numerical investigations show that excellent re-centering ability and energy dissipation can be afforded by installing SMA damping devices in structures.

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A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite

Cited by 254 publications

References 20 publications

Constitutive Model of Shape Memory Alloy considering the effect of Martensite Plasticity for Biomedical Applications

Constitutive Model of Shape Memory Alloy considering the effect of Martensite Plasticity for Biomedical Applications

Optimal Design of Hanging Truss Having SMA Wires (From Vibration Isolation and Attenuation Viewpoints)

Dynamic Numerical Simulation of Steel Frame-Typed Piers Installed With Sma Damping Devices Based on Multi-Linear One Dimensional Constitutive Model

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