A 1D constitutive model for shape memory alloy using strain and temperature as control variables and including martensite reorientation and asymmetric behaviors

Jaber, Moez Ben; Mehrez, Sadok; Ghazouani, O

doi:10.1088/0964-1726/23/9/095026

Cited by 10 publications

(10 citation statements)

References 25 publications

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“…Similar to other phenomenological material models for SMAs, the present model consists of two laws: a thermomechanical and a kinetic law. Here, we present the general equations and refer the reader to references [21][22][23] for further details.…”

Section: Constitutive Modelingmentioning

confidence: 99%

Bi-Directional Origami-Inspired SMA Folding Microactuator

et al. 2021

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We present the design, fabrication, and characterization of single and antagonistic SMA microactuators allowing for uni- and bi-directional self-folding of origami-inspired devices, respectively. Test devices consist of two triangular tiles that are interconnected by double-beam-shaped SMA microactuators fabricated from thin SMA foils of 20 µm thickness with memory shapes set to a 180° folding angle. Bi-directional self-folding is achieved by combining two counteracting SMA microactuators. We present a macromodel to describe the engineering stress–strain characteristics of the SMA foil and to perform FEM simulations on the characteristics of self-folding and the corresponding local evolution of phase transformation. Experiments on single-SMA microactuators demonstrate the uni-directional self-folding and tunability of bending angles up to 180°. The finite element simulations qualitatively describe the main features of the observed torque-folding angle characteristics and provide further insights into the angular dependence of the local profiles of the stress and martensite phase fraction. The first antagonistic SMA microactuators reveal bi-directional self-folding in the range of −44° to +40°, which remains well below the predicted limit of ±100°.

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Section: Constitutive Modelingmentioning

confidence: 99%

Bi-Directional Origami-Inspired SMA Folding Microactuator

et al. 2021

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“…Indeed, the main advantage of this approach is the simplicity of implementation in commercial codes, since it only requires defining temperature-dependent material properties, such as elastic modulus E and Coefficient of Thermal Expansion (CTE) α . However, in a more advanced design stage, detailed SMA constitutive models [ 135 , 136 , 137 , 138 , 139 ] must be used to assess the behavior of the SMA actuators.…”

Section: Numerical Simulationmentioning

confidence: 99%

Overview and Future Advanced Engineering Applications for Morphing Surfaces by Shape Memory Alloy Materials

Sellitto

Riccio

2019

Materials

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The development of structures able to autonomously change their characteristics in response to an external simulation is considered a promising research field. Indeed, these structures, called smart structures, can be adopted to improve the aerodynamic performance of air and land vehicles. In this work, an overview and future applications of Shape Memory Alloys (SMA)-based smart structures are presented. The use of SMA materials seems to be very promising in several engineering sectors. Advanced SMA-based devices, designed to improve the aerodynamic performance of vehicles by modifying the shape of the spoiler and the rear upper panel, are briefly introduced and discussed in this paper. Indeed, a simplified model simulating the SMA mechanical behavior has been considered to demonstrate the feasibility of the introduced smart structures for adaptive aerodynamic applications. Numerical simulations of the investigated structures are provided as a justification of the proposed designs.

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“…Tables 1 and 2 show the material parameters utilized for the determination of the stress-strain response in cases 1 and 2, respectively. These material parameters are obtained from the literature [15,36]. Since the test temperature is above the austenite finish, the material is in the austenite phase; so, the initial value for , s0 ξ + , s0 ξ − and T 0 ξ is zero for these two cases.…”

Section: Uniaxial Testsmentioning

confidence: 99%

“…Since the present model is not capable of considering the effect of TRIP, there is not any residual strain in the predicted stressstrain response. In order to show the capability of the model to consider the effects of tension-compression asymmetry in ferroelastic behavior, the stress-strain responses obtained using the proposed model are compared with the numerical results reported by Jaber et al [36] (case 3) and the experimental findings for Au-47.5at.%Cd by Nakanishi et al [37] (case 4). The material parameters used for the former and the latter cases are provided in tables 3 and 4, respectively.…”

Section: Uniaxial Testsmentioning

confidence: 99%

A microplane constitutive model for shape memory alloys considering tension–compression asymmetry

Karamooz-Ravari¹,

Kadkhodaei²,

Ghaei³

2015

Smart Mater. Struct.

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Shape memory alloys are a group of advanced materials that have found several industrial applications due to their interesting mechanical properties including a shape memory effect and superelasticity. In order to optimize the use of such materials in manufacturing different devices, appropriate advanced constitutive models are required. Recent experiments show that shape memory alloys exhibit an asymmetric response during tension and compression loading. In this paper, a new three-dimensional constitutive law is proposed based on microplane theory with the purpose of describing the tension-compression asymmetry. The model utilizes an equivalent stress on the foundation of second and third invariants of the deviatoric stress tensor in combination with two internal variables to distinguish between martensite volume fraction as well as martensite elastic modulus during tension and compression. The proposed model is then used to simulate uniaxial tension-compression loading in superelasticity as well as ferroelasticity regimes. The simulation results are compared with the corresponding results obtained by experiment and previous models reported in the literature, and a good agreement is observed. In addition, a four-point bending test is simulated for NiTi tubes in several cases. The predicted moment-curvature response and variations in the position of the neutral axis correlate fairly well with the experimental findings reported in the literature.

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A 1D constitutive model for shape memory alloy using strain and temperature as control variables and including martensite reorientation and asymmetric behaviors

Cited by 10 publications

References 25 publications

Bi-Directional Origami-Inspired SMA Folding Microactuator

Bi-Directional Origami-Inspired SMA Folding Microactuator

Overview and Future Advanced Engineering Applications for Morphing Surfaces by Shape Memory Alloy Materials

A microplane constitutive model for shape memory alloys considering tension–compression asymmetry

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