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Anisotropy measured with shear and Rayleigh waves in rolled plates
Affiliation:1. Department of Surface Coatings and Corrosion, Institute for Color Science and Technology, No. 55, Vafamanesh Street, Hossein-Abad Square, Pasdaran, P.O. Box 16765-654 Tehran, Iran;2. Center of Excellence for Color Science and Technology, Tehran, Iran;3. Faculty of Polymer Engineering and Color Technology, Amirkabir University of Technology, Hafez Street, Tehran, Iran;1. Control and Instrumentation Research Group, Technical Research Laboratories, POSCO, 6261 Donghaean-ro, Nam-gu, Pohang-si, Gyeongbuk 790-300, Republic of Korea;2. School of Mechanical and Aerospace Engineering, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 151-742, Republic of Korea;1. State Key Laboratory for Turbulence and Complex Systems, and College of Engineering, Peking University, Beijing 100871, China;2. Center for Applied Phyics and Technology, Peking University, Beijing 100871, China;3. Beijing Key Laboratory of Magnetoelectric Materials and Devices, Peking University, Beijing 100871, China
Abstract:The Rayleigh wave velocity is derived for propagation on polycrystalline metal plates with weakly orthorhombic anisotropy modelling the rolling texture. Use is made of the texture weakness to solve the velocity in a perturbation scheme. For the fully orthorhombic case, there was found no simple relation between the velocity difference of Rayleigh waves propagating along the principal axes of texture and the birefringence of shear waves propagated in the thickness direction. However, for the cubic metals the result is reduced to their linear relation to the substitution of crystallite orientation distribution function expanded with spherical harmonics. This relation has been obtained by Sayers. The application of texture-independent measurement of principal stress difference is discussed.
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