A model considering mechanical anisotropy of magnetic-field-induced superelastic strain in magnetic shape memory alloys

Zhu, Yan; Yu, Kai

doi:10.1016/j.jallcom.2012.09.143

Cited by 12 publications

(7 citation statements)

References 62 publications

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“…We consider a homogeneous anisotropic elastic matrix which contains another anisotropic inclusion with eigenstrain e tr . The change of mechanical potential energy of the material is [29,30]:…”

Section: The Thermodynamic Principle Analysis Of Reorientationmentioning

confidence: 99%

“…We assume that the surface energy density is c s , entire surface area of inclusion is A 1 , volume is V 1 , the average thickness of the variant 2 is t, surface energy variables of per unit volume is DG s [29,30]:…”

Section: The Thermodynamic Principle Analysis Of Reorientationmentioning

confidence: 99%

“…In the traditional constitutive model of shape memory alloys, Nemat-Nasser [29] supposes that dissipation energy is exponential function of inclusion phase volume fraction, then the undetermined constants can be determined according to experimental data. For ferromagnetic shape memory alloy, depending on experimental data, we take the following empirical formula [30]:…”

Section: The Thermodynamic Principle Analysis Of Reorientationmentioning

confidence: 99%

See 2 more Smart Citations

Micromechanical modeling of stress-induced strain in polycrystalline Ni–Mn–Ga by directional solidification

Zhu

Shi

Teng

2015

Journal of Alloys and Compounds

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Section: The Thermodynamic Principle Analysis Of Reorientationmentioning

confidence: 99%

Section: The Thermodynamic Principle Analysis Of Reorientationmentioning

confidence: 99%

Section: The Thermodynamic Principle Analysis Of Reorientationmentioning

confidence: 99%

See 1 more Smart Citation

Micromechanical modeling of stress-induced strain in polycrystalline Ni–Mn–Ga by directional solidification

Zhu

Shi

Teng

2015

Journal of Alloys and Compounds

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“…[39] implemented a phenomenological model and showed influence of the temperature on the asymmetry between tension and compression. Zhu and Yu [40] developed a micromechanics-based thermodynamic model that takes into account mechanical anisotropy of the magnetic shape memory alloys. They concluded that the assumption of isotropy tends to underestimate the interaction energy and macroscopic strain.…”

Section: Introductionmentioning

confidence: 99%

Influence analysis of phase transformation anisotropy of shape memory alloy wires embedded in sandwich plates with flexible cores by a third-order zigzag theory with dynamic three-dimensional elasticity corrections

Shariyat

Ghaznavi

2018

Jnl of Sandwich Structures & Materials

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This paper is devoted to the investigation of the effects of the realistic tension–compression asymmetry and anisotropy of phase transformations of shape memory alloy wires embedded in composite sandwich plates with auxetic cores on the resulting nonlinear vibrations. A third-order zigzag description of the displacement field that takes into account the thickness variations of the flexible core and a novel three-dimensional dynamic elasticity stress and displacement correction is proposed and employed. The governing equations are extracted based on Hamilton’s principle and solved using an iterative finite element procedure. A comprehensive phase transformation algorithm and a constitutive model that are capable of accurately tracking the nested hysteresis loops and sub-loops and reverse loading of the shape memory alloy are proposed, considering the tension–compression anisotropy. Interactions of the core compliance, auxeticity, and especially, the transformations anisotropy on the dynamic responses are studied numerically and three-dimensional plots are presented for distributions of the martensite volume fraction. Results show that the realistic tension–compression anisotropy of the shape memory alloy material leads to results that are quite different from those based on the assumption of the symmetry of the material properties and significantly increases the differences between the damping roles of the shape memory alloy wires of the upper and lower layers of the sandwich plate.

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“…Various constitutive models with different approaches have been proposed for FSMAs so far. There are models with energy analysis (He et al, 2011; Murray et al, 2001), models with micromechanics basis (Paul et al, 2007; Zhu and Yu, 2013), phase-field models (Peng et al, 2015; Wu et al, 2008), phenomenological (Auricchio et al, 2015; Kiefer, 2006), and continuum-based models (Kiefer and Lagoudas, 2005, 2008a, 2008b; LaMaster et al, 2014; Sarawate, 2008; Wang and Steinmann, 2012). Couch and Chopra (2007), by replacing temperature with magnetic field in Brinson’s constitutive model for SMAs (Brinson, 1993), proposed a model for FSMAs.…”

Section: Introductionmentioning

confidence: 99%

Finite element simulation of ferromagnetic shape memory alloys using a revised constitutive model

Jafarzadeh

Kadkhodaei

2017

Journal of Intelligent Material Systems and Structures

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In this article, a previously developed constitutive model for ferromagnetic shape memory alloys is phenomenologically enhanced using experimental observations. A modified phase diagram along with a method for calibration of the required model parameters is further presented. The model is implemented into a user material subroutine to equip commercial finite element software ABAQUS with the capability of simulating magneto-mechanical behaviors of ferromagnetic shape memory alloys. A combined convergence scheme is employed to solve the implicit equations. The proposed model together with the presented numerical solution is shown to be able to study shape memory effect and pseudoelasticity at different constant magnetic fields. The simulated magnetic loading/unloading cycles at different constant stresses are found to be well-fitted to the experimental findings. As a practical application of the ferromagnetic shape memory alloy coupled magneto-mechanical response, a spring actuator (a bias spring serially connected to one ferromagnetic shape memory alloy element) is investigated, and the numerical predictions are shown to be in a good agreement with available experimental results. As a novel case, geometrically graded NiMnGa elements are also introduced and are simulated with the use of this approach.

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A model considering mechanical anisotropy of magnetic-field-induced superelastic strain in magnetic shape memory alloys

Cited by 12 publications

References 62 publications

Micromechanical modeling of stress-induced strain in polycrystalline Ni–Mn–Ga by directional solidification

Micromechanical modeling of stress-induced strain in polycrystalline Ni–Mn–Ga by directional solidification

Influence analysis of phase transformation anisotropy of shape memory alloy wires embedded in sandwich plates with flexible cores by a third-order zigzag theory with dynamic three-dimensional elasticity corrections

Finite element simulation of ferromagnetic shape memory alloys using a revised constitutive model

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