Thermomechanical Couplings and Pseudoelasticity of Shape Memory Alloys

Peyroux, Robert; Chrysochoos, André; Licht, Christian; Löbel, Martin

doi:10.1016/s0020-7225(97)00052-9

Cited by 68 publications

(52 citation statements)

References 6 publications

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Section: Rough Outlinesupporting

confidence: 80%

“…Kinematic and calorimetric effects associated with the phase change inception and with its localized propagation were monitored using full-field DIC and infrared IRT measurements. Global and local energy balances confirme the predominance of latent heat of phase change with respect to the dissipated energy, as already observed with polycrystalline SMA [5].Finally a voluntarily simple mono-variant thermomechanical model, taking into account the previous energy properties, is proposed. Several numerical simulations show the main role played by 1 vigneron@lmgc.univ-montp2.fr…”

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confidence: 75%

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Multiscale energy analysis of phase change localization in monocrystalline shape memory alloys

Vigneron

Chrysochoos

Peyroux

et al. 2010

EPJ Web of Conferences

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The present work deals with solid-solid phase change and is founded on the global and local construction of energy balance during load-unload cycles. Such a construction requires information derived from infrared thermography (IRT) and digital image correlation (DIC). During cyclic tensile tests, the energy fields associated with a CuAlBe single crystal allowed the propagating bands of phase change front to be exhibited. The heat involved in the transformation was essentially made of latent heat of phase change, the mechanical energy dissipation remaining of low intensity. A 3D modeling was then proposed in the framework of the generalized standard material formalism in which the phase change appears as an anisothermal coupling mechanism accompanied by a low intrinsic dissipation. The good qualitative agreement between experiments and simulations legitimated the physical interpretation proposed for the phase change. Rough outlineThe literature proposes various approaches to model the behaviour of shape memory alloys (SMA). Some authors based their models on the crystallographic origin of the solid-solid phase change [1, 2], whereas others developed phenomenological models taking into account classical thermodynamic descriptions of state change [3]. Finally, models using material plasticity concepts can be found [4].In order to improve the solid-solid phase change understanding, the present communication intends to show that a better characterization of the energy effects and localization mechanisms accompanying the phase transformation is necessary. In this perspective, we briefly introduce the thermomechanical framework used to describe the experiments will be briefly introduced. The energy balance associated with a load-unload cycle has to be particularly detailed in order to show the different possible energy contributions that can lead to a hysteretic behaviour.Then, some experimental results obtained during a uniaxial testing of single-crystal CuAlBe samples are presented. Kinematic and calorimetric effects associated with the phase change inception and with its localized propagation were monitored using full-field DIC and infrared IRT measurements. Global and local energy balances confirme the predominance of latent heat of phase change with respect to the dissipated energy, as already observed with polycrystalline SMA [5].Finally a voluntarily simple mono-variant thermomechanical model, taking into account the previous energy properties, is proposed. Several numerical simulations show the main role played by 1 vigneron@lmgc.univ-montp2.fr

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Section: Rough Outlinesupporting

confidence: 80%

supporting

confidence: 75%

Multiscale energy analysis of phase change localization in monocrystalline shape memory alloys

Vigneron

Chrysochoos

Peyroux

et al. 2010

EPJ Web of Conferences

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“…The problem is amplified by the fact that mechanical dissipation is in general small compared to the part of the heat sources associated with the thermomechanical couplings, such as thermoelastic coupling or solid-solid phase transformation. [18,30] This paper proposes a simple methodology to extract a well-resolved estimation of mechanical dissipation by solving two key points specific to long-term cyclic tests:…”

Section: Introductionmentioning

confidence: 99%

A specific device for enhanced measurement of mechanical dissipation in specimens subjected to long‐term tensile tests in fatigue

Delpueyo

Balandraud

Grédiac

et al. 2017

Strain

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This paper presents a calorimetric approach to the measurement of mechanical dissipation in specimens subjected to cyclic tensile tests. Mechanical dissipation, that is, the heat power produced by the material due to mechanical irreversibility, can potentially be deduced from the temperature changes captured on the specimen surface by infrared thermography. However, a difficulty arises for long-term cyclic tests: Results are easily skewed by any change in the specimen's environment. The problem is amplified by the fact that mechanical dissipation is in general small compared to the heat sources associated with thermomechanical couplings, making its estimation difficult. The paper proposes a simple procedure to extract a well-resolved estimation of mechanical dissipation by solving two key points specific to long-term cyclic tests: (a) the reduction of the parasitic effects associated with changes in the specimen's environment by using a specific device based on two references samples and (b) the choice of relevant thermal data acquisition parameters. A test is performed on a copper-based shape-memory alloy whose calorific response comprises three origins of heat sources: thermoelastic coupling, phase transformation, and mechanical irreversibility. The results obtained demonstrate the relevancy of the approach in extracting mechanical dissipation from the thermal response of the specimen subjected to long-term tensile tests in fatigue.

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“…Even with this two simple types of constitutive relationship various reversible thermoelastic and pseudoelastic phenomena can be described [8][9][10][11].…”

Section: The Thermoelastic Partmentioning

confidence: 99%

“…The plastic part of the macroscopic rate of deformation tensor due to dislocation movement is determined by employing the well-known normality condition. Consequently, we define the plastic flow rule as (9) where F(<T,<X,K) = 0 is a yield function, e = f edt an equivalent or effective plastic strain, «(?, 6, f) strain hardening and temperature softening parameter depending on the amount of the product phase f, a is orientational microstress which results in controlling the kinematic hardening according to the standard definition of a back stress. It is represented by a linear combination of deformation rates due to dislocation plasticity and transformation induced plasticity with the corresponding constants-weights which control the influence of each particular term: (10) The function f(a -a) in (9) represents a hypersurface in the space of stresses tr and microstresses or.…”

Section: The Phase Transformation Partmentioning

confidence: 99%

Phenomenological modeling of shape memory effect using the concept of orientational back stress

Dobovšek

2001

J. Phys. IV France

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Abstract. A derivation of constitutive equations in a general three-dimensional setting is described, based on an additive decomposition of the rate of deformation tensor. The rate of deformation tensor is assumed to consist of an elastic part, a thermoelastic part, a plastic part, and a part due to phase transformation. The thermoelastic part due to thermoelastic coupling accounts for the influence of temperature near phase transformation, while the plastic part is taken in the form of classical flow theory of plasticity with combined isotropic and kinematic hardening, where the back stress represents a tensor of orientational micro-stresses. It is assumed that the part due to the phase transformation depends on the first and the second invariant of the tensor of crystallographic distortion, on the deviatoric part of the stress tensor, and on a special evolution parameter describing the rate of forming of a new phase. The derived constitutive equation is given in an explicit form with the corresponding tensor generators of the representation together with the irreducible integrity basis of the relevant tensor functions.

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Thermomechanical Couplings and Pseudoelasticity of Shape Memory Alloys

Cited by 68 publications

References 6 publications

Multiscale energy analysis of phase change localization in monocrystalline shape memory alloys

Multiscale energy analysis of phase change localization in monocrystalline shape memory alloys

A specific device for enhanced measurement of mechanical dissipation in specimens subjected to long‐term tensile tests in fatigue

Phenomenological modeling of shape memory effect using the concept of orientational back stress

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