Measurement of elastic characteristics of single-crystals of a nickel-base superalloy by speckle interferometry

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Abstract

The elastic properties of single crystals of a nickel-base superalloy VGM7 have been investigated by speckle interferometry. Plate-shaped specimens of different crystallographic orientations were loaded under pure shear conditions and speckle interference patterns were imaged. Numerical processing of the interference patterns allowed us to determine the values of Young’s modulus in directions [001] and [011], E001= 138 GPa and E001= 241 GPa, the basic value of Poisson’s ratio ν0= 0.39 in the coordinate system ⟨001⟩, as well as its minimum and maximum values νmin= −0.10 and νmax= 0.69 under longitudinal loading along [101] and transverse deformation along [101¯] and [010], respectively. Using the measured values E001, E011, ν0, νmin and νmax the single-crystal elastic stiffnesses  C11= 264 GPa, C12= 166 GPa and  C44= 133 GPa, and elastic compliances  S11= 7.35 TPa–1, S12= –2.84 TPa–1 and S44= 7.52 TPa–1 we calculated. The applied method allows one to unambiguously determine the sign of Poisson’s ratio and, therefore, it should be recommended for studying the elastic properties of auxetic materials, for which determination of the sign of Poisson’s ratio is of great importance.

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About the authors

А. I. Epishin

Merzhanov Institute of Structural Macrokinetics and Materials Science RAS

Author for correspondence.
Email: a.epishin2021@gmail.com
Russian Federation, Chernogolovka, Moscow Region

I. N. Odintsev

Mechanical Engineering Research Institute RAS

Email: a.epishin2021@gmail.com
Russian Federation, Moscow

D. S. Lisovenko

Ishlinsky Institute for Problems in Mechanics RAS

Email: lisovenk@ipmnet.ru
Russian Federation, Moscow

N. V. Petrushin

All-Russin Research Institute of Aviation Materials (VIAM) NRC “Kurchatov Institute”

Email: a.epishin2021@gmail.com
Russian Federation, Moscow

I. L. Svetlov

All-Russin Research Institute of Aviation Materials (VIAM) NRC “Kurchatov Institute”

Email: a.epishin2021@gmail.com
Russian Federation, Moscow

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Supplementary files

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2. Fig. 1. Scheme of cutting plate samples from single crystals of VZhM7 alloy.

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3. Fig. 2. Calculation scheme for interpretation of sample testing.

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4. Fig. 3. Design (a) and general view (b) of the loading device, spatial position of the sample before (c) and after (d) compensation of rotations as a whole.

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5. Fig. 4. Speckle interference patterns recorded during pure bending of single-crystal plates of VZhM7 alloy of different orientations, see the indicated direction of the x and z axes. The nature of the plate warping is shown qualitatively below.

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6. Fig. 5. Orientation dependence of elastic characteristics of single crystals of VZhM7 alloy: Young's modulus (a), minimum (b) and maximum (c) values ​​of Poisson's ratio for arbitrary orientation of the loading axis z. The graphs are constructed using the obtained elastic compliances, the values ​​in brackets are the measurement results.

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