Ermittlung der Einkristallkoeffizienten aus den mechanischen und röntgenographischen Elastizitätskonstanten des Vielkristalls

Hauk, Viktor; Kockelmann, H.

doi:10.1515/ijmr-1979-700805

Cited by 7 publications

(4 citation statements)

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“…In particular, well established methods exist to analyse fractions of the constituent phases, textures, residual stresses, microstrains or particle sizes. It has been demonstrated by Hauk & Kockelmann (1979) that single-crystalline elastic constants can also be derived by diffraction studies on polycrystalline samples under external uniaxial stress using approximations for the grain-to-grain interactions. Gna ¨upel-Herold et al…”

Section: Introductionmentioning

confidence: 99%

DISEMM: a tool for the investigation of elasto-plastic behaviour on polycrystalline samples using X-ray and neutron diffraction

Heldmann¹,

Hofmann²,

Hoelzel³

2022

J Appl Cryst

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The software DISEMM is designed to analyse diffraction data from in situ loading experiments on polycrystalline samples for the determination of single-crystal elastic constants (SECs) and elasto-plastic self-consistent (EPSC) modelling of lattice strains. The SECs can be obtained from powder-diffraction elastic constants using a variety of grain-to-grain interaction models, namely Voigt, Reuss, Hill, Kröner, de Wit and Matthies approaches. The texture of the polycrystalline sample can be taken into account using the orientation distribution function of the grains. For the analysis of two-phase materials, an approach was implemented to calculate the stress transfer between the phases and its impact on the apparent elastic properties. The calculated SECs can then be used as input into the EPSC model, which allows the user to predict the elasto-plastic behaviour for comparison with experimental lattice strain data and to investigate the activation of individual slip systems. For this purpose, critical resolved shear stresses and hardening parameters are adapted iteratively.

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Section: Introductionmentioning

confidence: 99%

DISEMM: a tool for the investigation of elasto-plastic behaviour on polycrystalline samples using X-ray and neutron diffraction

Heldmann¹,

Hofmann²,

Hoelzel³

2022

J Appl Cryst

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“…Owing to X-ray diffraction (XRD) techniques, SEC can be evaluated from the mechanical macroscopic stiffness and XEC measured on polycrystals. The required procedure was historically introduced for single-phase polycrystals [2]: experimental XEC are fitted using a multiscale approach, such as Kröner's model [3]. The method was firstly applied to cubic polycrystals [4] and then, extended to hexagonal single phases [5].…”

Section: Introductionmentioning

confidence: 99%

Determining Ti-17 β-Phase Single-Crystal Elasticity Constants through X-Ray Diffraction and Inverse Scale Transition Model

Fréour

Lacoste

François

et al. 2011

MSF

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The scope of this work is the determination of single-crystals elastic constants (SEC) from X-ray diffraction lattice strains measurements performed on multi-phase polycrystals submitted to mechanical load through a bending device. An explicit three scales inverse self-consistent model is developed in order to express the SEC of a cubic phase, embedded in a multi-phase polycrystal, as a function of its X-ray Elasticity Constants. Finally, it is applied to a two-phases (α+β) titanium based alloy (Ti-17), in order to estimate Ti-17 β-phase unknown SEC. The purpose of the present work is to account the proper microstructure of the material. In particular, the morphologic texture of Ti-17 a-phase, i.e. the relative disorientation of the needle-shaped grains constituting this phase, is considered owing to the so-called Generalized Self-Consistent model.

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“…As a selective method, diffraction allows to probe the microscopic elastic response of a phase within a multiphase film. Using X-ray diffraction, SCECs can be determined from the macroscopic stiffness and the X-ray elasticity constants of the analyzed polycrystal [19]. This procedure is straightforward to use for macroscopically isotropic materials.…”

mentioning

confidence: 99%

“…This procedure is straightforward to use for macroscopically isotropic materials. It was initially introduced by Hauk and Kockelmann [19] for single-phase polycrystals. Then, it was used by different authors to extract the SCECs of single-phase materials with different crystal structures [8,9,11,12,20].…”

mentioning

confidence: 99%

Determination of single-crystal elasticity constants of the beta phase in a multiphase tungsten thin film using impulse excitation technique, X-ray diffraction and micro-mechanical modeling

et al. 2019

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Ermittlung der Einkristallkoeffizienten aus den mechanischen und röntgenographischen Elastizitätskonstanten des Vielkristalls

Cited by 7 publications

References 0 publications

DISEMM: a tool for the investigation of elasto-plastic behaviour on polycrystalline samples using X-ray and neutron diffraction

DISEMM: a tool for the investigation of elasto-plastic behaviour on polycrystalline samples using X-ray and neutron diffraction

Determining Ti-17 β-Phase Single-Crystal Elasticity Constants through X-Ray Diffraction and Inverse Scale Transition Model

Determination of single-crystal elasticity constants of the beta phase in a multiphase tungsten thin film using impulse excitation technique, X-ray diffraction and micro-mechanical modeling

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