One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials

Chen, Liang; Rogers, Craig A.

doi:10.2514/6.1990-1027

Cited by 143 publications

(195 citation statements)

References 7 publications

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“…The constitutive characterization of superelasticity has evolved from early one-dimensional phenomenological models of pure tension [3][4][5] to fully three-dimensional polycrystalline models that account, in some form, for the material microstructure [2,[6][7][8]. In parallel, numerical implementations of specific constitutive models have been pursued by several researchers using techniques from computational plasticity, see, e.g.…”

Section: Introductionmentioning

confidence: 99%

Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape‐memory alloys

Jung

Papadopoulos

Ritchie

2004

Numerical Meth Engineering

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SUMMARYThis work concerns the micromechanical constitutive modelling, algorithmic implementation and numerical simulation of polycrystalline superelastic alloys under multiaxial loading. The model is formulated in finite deformations and incorporates the effect of texture. The numerical implementation is based on the constrained minimization of the Helmholtz free energy with dissipation. Simulations are conducted for thin tubes of Nitinol under tension-torsion, as well as for a simplified model of a biomedical stent.

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Section: Introductionmentioning

confidence: 99%

Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape‐memory alloys

Jung

Papadopoulos

Ritchie

2004

Numerical Meth Engineering

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“…Stress-strain curve shows smooth slope during stress-induced martensite transformation. Figure 7B gives strain distributions of longitudinal strain, lateral strain and shear strain on NiTi plate for each section (1,2,3,4 Figure 7, it is found that strain distributions are uniform all over the surface of specimen under elastic deformation of dual phase in stress-strain curve (1). Also, local strain band behaviours, such as nucleation and propagation, are observed at the early stage of stress-induced martensite transformation in stress-strain curve (2 and 3).…”

Section: Macroscopic Stress-strain Curve and Strain Distribution On Nmentioning

confidence: 97%

“…Shape memory alloy (SMA) shows unique deformation behaviour such as shape memory effect, pseudoelasticity and large recovery stress. A lot of researchers have been studying about its unique deformation behaviour from the view of experimentation, modelling and simulation [1][2][3][4][5][6][7]. In the modelling, many researchers have used a phenomenological constitutive relation and internal variable proposed by Tanaka [1,2] and Brinson [5].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis and Experimental Measurement of Deformation Behavior for NiTi Plate With Stress Concentration Part Under Uniaxial Tensile Loading

Murasawa

Yoneyama

Miyata

et al. 2011

Strain

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The aim of this study is to verify the effectiveness of ordinary phenomenological constitutive relation of NiTi shape memory alloy under mechanical loading at a constant temperature, sufficiently. First, finite element analysis is performed by using ordinary phenomenological constitutive relation for rectangular plate with double notch under tensile loading at a constant temperature. Next, uniaxial tensile loading is carried out for 50.5Ni49.5Ti rectangular plate with double notch. At the same time, macroscopic stress-strain curve and local strain distribution are measured by using in-house measurement system on the basis of digital image correlation. As a result, it is found that the stress-strain curve obtained from finite element analysis is much different from those obtained experimental measurement, especially during stress-induced martensite transformation. The result can be derived from the phenomena of local strain band behavior arising in NiTi under mechanical loading. The phenomenological constitutive model used in present finite element analysis is constructed under assumptions that the material has isotropic characteristics and shows homogeneous deformation. However, this experimental result suggests that the material itself has anisotropy microscopically. Furthermore, material shows unique inhomogeneous deformation. Also, there is possibility that these anisotropic characteristic and inhomogeneous deformation behaviour may derive from its microstructure. In future, to sufficiently describe the macroscopic stress-strain curve of NiTi we should take into consideration the material microstructure.

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“…Different models of the behavior of these materials have been formulated recently. 5,15,17,23 The material response of interest for the purposes of this research is the stress-strain curve for TiNi at temperatures below M f , as given in Figure 2. When the alloy is deformed, the elastic deformation (1) is followed by yielding in which the stress remains approximately constant.…”

Section: The Shape Memory Effectmentioning

confidence: 99%

Energy Dissipation in Shape Memory Alloy Devices

Casciati

Faravelli

Petrini

1998

Computer aided Civil Eng

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A way of reasoning to reduce the response of a structural system under dynamic excitation is to think in terms of energy dissipation via plastic deformation devices. The concept of recoverable plastic deformation opens the way to the application of smart materials and, in particular, of shape memory alloys (SMAs). The characterization of the Ti Ni alloy structural component, with a complete definition of its mechanical properties and assembling features, is discussed.

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One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials

Cited by 143 publications

References 7 publications

Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape‐memory alloys

Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape‐memory alloys

Finite Element Analysis and Experimental Measurement of Deformation Behavior for NiTi Plate With Stress Concentration Part Under Uniaxial Tensile Loading

Energy Dissipation in Shape Memory Alloy Devices

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