Elastic constants of bcc austenite and 2H orthorhombic martensite in CuAlNi shape memory alloy

Sedlák, P.; Seiner, Hanuš; Landa, Michal; Novák, V.; Šittner, Petr; Mañosa, Lluı́s

doi:10.1016/j.actamat.2005.04.013

Cited by 122 publications

(75 citation statements)

References 19 publications

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“…In case of the β 1 → γ 1 transformation in CuAlNi, the stretch parameters are α = 1.0619, β = 0.9178 and γ = 1.0230 [5]. Note that the numbering of variants used in this work is consistent with that used, for instance, in [1,5], but different than that used in [11,20,22]. Here and below, the components of vectors and tensors are provided in the cubic basis of austenite.…”

Section: Cubic-to-orthorhombic Transformationmentioning

confidence: 63%

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Almost compatible X-microstructures in CuAlNi shape memory alloy

Stupkiewicz

Górzyńska-Lengiewicz

2011

Continuum Mech. Thermodyn.

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A systematic study of a specific martensitic microstructure, called the X-microstructure, is carried out with the focus on the CuAlNi shape memory alloy undergoing the cubic-to-orthorhombic transformation. The set of all crystallographically distinct candidate X-microstructures is determined, and it is shown that, according to the crystallographic theory of martensite, none of them is compatible. Almost compatible X-microstructures, which involve elastic strains, are thus examined. These microstructures are searched in the neighborhood of all candidate X-microstructures by minimizing the total elastic strain energy with respect to the microstructure parameters. Several low-energy X-microstructures are found, and it is shown that the total elastic strain energy correlates reasonably well with one of the indicators which characterize incompatibility of the corresponding candidate X-microstructure.

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Section: Cubic-to-orthorhombic Transformationmentioning

confidence: 63%

“…In the computations reported in Sect. 4, the elastic constants of cubic austenite and orthorhombic martensite of CuAlNi alloy are taken from [25,27], see also [20]. At each interface, the kinematic compatibility condition (1) is now enforced for the total deformation gradient, including the elastic part.…”

Section: Elastic Strains and Compatibility Conditionsmentioning

confidence: 99%

Almost compatible X-microstructures in CuAlNi shape memory alloy

Stupkiewicz

Górzyńska-Lengiewicz

2011

Continuum Mech. Thermodyn.

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“…A, B, and C are constant values determined by the elastic compliance, crystal coordinate system (X), diffraction plane coordinate system (or laboratory coordinate system (L)), and specimen coordinate system (P). For the elastic compliance, the elastic constants (C11 = 142 GPa, C12 = 124 GPa, and C44 = 95 GPa) of a Cu-Al-Ni single crystal were considered [11]. From the σx, σy, and τxy obtained, the principal stresses (σ1 and σ2) and the principal stress direction (θp) can be calculated directly.…”

Section: White X-ray Microbeam Diffraction Experimentsmentioning

confidence: 99%

Characterization of Deformation Behavior of Individual Grains in Polycrystalline Cu-Al-Mn Superelastic Alloy Using White X-ray Microbeam Diffraction

Kwon

Sato

Fujieda

et al. 2015

Metals

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White X-ray microbeam diffraction was applied to investigate the microscopic deformation behavior of individual grains in a Cu-Al-Mn superelastic alloy. Strain/stresses were measured in situ at different positions in several grains having different orientations during a tensile test. The results indicated inhomogeneous stress distribution, both at the granular and intragranular scale. Strain/stress evolution showed reversible phenomena during the superelastic behavior of the tensile sample, probably because of the reversible martensitic transformation. However, strain recovery of the sample was incomplete due to the residual martensite, which results in the formation of local compressive residual stresses at grain boundary regions. OPEN ACCESSMetals 2015, 5 1846

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“…For this kind of transition, the austenite phase can transform into six different variants of martensite. We denote these variants by numbers 1 to 6, and use the same numbering as in [7], where also the Bain matrices U 1,...,6 for these variants can be found.…”

Section: Compatibility Analysismentioning

confidence: 99%

FEM Mo delling of Elastically Strained Interfacial Microstructures in Cu-Al-Ni Single Crystals

Glatz

Seiner

Landa

2009

ESOMAT 2009 - 8th European Symposium on Martensitic Transformations

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Abstract. In this paper, a construction of FEM models of particular microstructures forming between austenite and mechanically stabilised 2H-martensite of the Cu-Al-Ni shape memory alloy is presented. Since these microstructures appearing during the shape recovery process (the so-called X-interfaces or the Xmicrostructures) are not global minimisers of the free energy, their mesoscopic morphology cannot be determined from any known thermodynamic extremal criterion, but must be taken directly from the experimental observations. For the elastic coefficients of both austenite and martensite phase of this alloy known from the ultrasonic measurements, such model enables determination of elastic strains within the microstructure and, thus, evaluation of the stored elastic energy in the microstructure. The model (implemented in COMSOL Multiphysics FEM environment) is applied to analyse interfacial microstructures observed experimentally in a prismatic bar of a single crystal of the examined alloy, and to find optimal morphology of this microstructure by means of the free energy (local) minimisation.

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Elastic constants of bcc austenite and 2H orthorhombic martensite in CuAlNi shape memory alloy

Cited by 122 publications

References 19 publications

Almost compatible X-microstructures in CuAlNi shape memory alloy

Almost compatible X-microstructures in CuAlNi shape memory alloy

Characterization of Deformation Behavior of Individual Grains in Polycrystalline Cu-Al-Mn Superelastic Alloy Using White X-ray Microbeam Diffraction

FEM Mo delling of Elastically Strained Interfacial Microstructures in Cu-Al-Ni Single Crystals

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