Calculation of mechanical behaviors of shape memory alloy under multi-axial loading conditions

Tokuda, Masataka; Ye, M.; Takakura, M.; Šittner, Petr

doi:10.1016/s0020-7403(97)00051-9

Cited by 14 publications

(7 citation statements)

References 7 publications

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“…Three-dimensional phenomenological models have been developed in the form of plasticity models with an internal variable such as the mass fraction of martensite (see, Auricchio, 1995;Boyd and Lagoudas, 1996a,b;Leclercq and Lexcellent, 1996;Lubliner and Auricchio, 1996;Panoskaltsis et al, 2004;Lagoudas et al, 2006) and most have been compared only to uniaxial experimental data. The researchers following a micromechanics approach (Kafka, 1994;Tokuda et al, 1998;Huang et al, 2000;Thamburaja and Anand, 2001;Novak and Sˇittner, 2004;Zhu and Liew, 2004;Lagoudas et al, 2006;Patoor et al, 2006) tried to follow very closely the crystallographic phenomena within the material, using thermodynamics laws to describe the transformation. In general, these models are more complicated than the phenomenological models and much more computationally demanding.…”

Section: Introductionmentioning

confidence: 99%

Biaxial Constrained Recovery in Shape Memory Alloy Rings

Videnic

Kosel

Šajn

et al. 2007

Journal of Intelligent Material Systems and Structures

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In this article biaxial constrained recovery in a thick-walled shape memory alloy (SMA) ring with a rectangular cross-section is modeled using the theory of generalized plasticity, which is developed by Jacob Lubliner and Ferdinando Auricchio. As a mechanical obstacle that delays free recovery in a SMA ring, a steel ring is used. The result of constrained recovery is the generation of high stresses in both the rings. All equations are written in a closed form in terms of infinite series. Theoretical results are compared with experimental findings and good agreement is found when SMA rings are in the domain of recoverable strains.

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Section: Introductionmentioning

confidence: 99%

Biaxial Constrained Recovery in Shape Memory Alloy Rings

Videnic

Kosel

Šajn

et al. 2007

Journal of Intelligent Material Systems and Structures

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“…Hence, more detailed micromechanical models were developed to capture the response of the SMA materials with enhanced accuracy. Such works have been presented by Lim and McDowell (1999), Gao and Brinson (2002), and Tokuda et al (1997). In these works, the structure of the material is modeled in micro-scale over a representative volume element and its averaged macroscopic response can be estimated.…”

Section: Sma Constitutive Modelingmentioning

confidence: 99%

Effect of shape memory alloy actuator geometric non-linearity and thermomechanical coupling on the response of morphing structures

Machairas

Σολωμού

Karakalas

et al. 2019

Journal of Intelligent Material Systems and Structures

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The response of adaptive structures entailing shape memory alloy actuators is investigated both numerically and experimentally in this work. Emphasis is placed on the inclusion of large displacements and rotations, as well as thermomechanical coupling in the simulation of the shape memory alloy actuators. Reduced multi-field beam finite element models for shape memory alloy actuators, encompassing a co-rotational formulation for large displacements and capability to provide the thermomechanically coupled transient response, are briefly overviewed. Prototypes of two adaptive structure configurations are developed, experimentally characterized, and numerically modeled. The measured response of the two prototypes is correlated with respective numerical results that consider both the geometric non-linearity and the thermomechanical coupling of the shape memory alloy actuators. Hence, the influence of these two effects on the predicted response of both the actuator and the adaptive structure is demonstrated. The results quantify also the interactions between geometric non-linearity and thermomechanical coupling terms. As it is shown, better agreement with experimental data is obtained when considering both effects.

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“…Souza et al [59] developed a model inspired in elastoplastic theory presenting results for tension-torsion behavior. Tokuda et al [61,62] presented a mechanical model of polycrystalline SMA constructed under the assumption of crystal plasticity and deformation mechanisms. Multiaxial loadings are evaluated with the corresponding mesoscopic constitutive equations.…”

Section: Introductionmentioning

confidence: 99%

A three-dimensional description of shape memory alloy thermomechanical behavior including plasticity

Oliveira

Savi

Zouain

2016

J Braz. Soc. Mech. Sci. Eng.

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This paper introduces a novel three-dimensional constitutive model that describes the thermomechanical behavior of shape memory alloys (SMAs). The model is developed within the framework of continuum mechanics and the standard generalized materials. Four macrocospic phases are considered associated with austenite and three variants of martensite. Phase transformations can be induced by temperature, volumetric and deviatoric strains. The description of plasticity is also of concern assuming kinematic and isotropic hardening. Numerical simulations are carried out showing that the proposed model is able to capture the general thermomechanical behavior of SMAs for uniaxial and multiaxial tests, even in situations with complex thermomechanical loading paths.

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Calculation of mechanical behaviors of shape memory alloy under multi-axial loading conditions

Cited by 14 publications

References 7 publications

Biaxial Constrained Recovery in Shape Memory Alloy Rings

Biaxial Constrained Recovery in Shape Memory Alloy Rings

Effect of shape memory alloy actuator geometric non-linearity and thermomechanical coupling on the response of morphing structures

A three-dimensional description of shape memory alloy thermomechanical behavior including plasticity

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