Ultrasonic SH wave velocity in textured aluminium plates

Abstract Neutron diffraction has been used to measure the crystallite orientation distribution function for a sample of rolled aluminium plate. Based on this study an expression is given for the ultrasonic velocity of the fundamental horizontally polarized shear (SH) wave propagating in the plane of the plate at an angle θ to the rolling direction. This expression is correct to second order in the leading texture component and is compared with the exact numerical result and with measurements of the SH wave velocity for this plate. In textured materials the group and phase velocities are not, in general, parallel and an expression for the angle between them is derived. Inclusion of this effect leads to better agreement between experiment and theory. The results have application to the texture-independent determination of stress with ultrasonics recently proposed by MacDonald and Thompson et al.

[1]  A. Every General closed-form expressions for acoustic waves in elastically anisotropic solids , 1980 .

[2]  Colin M. Sayers,et al.  Use of neutron diffraction texture measurements to establish a model for calculation of ultrasonic velocities in highly oriented austenitic weld material , 1983 .

[3]  R. N. Thurston,et al.  Third-Order Elastic Constants and the Velocity of Small Amplitude Elastic Waves in Homogeneously Stressed Media , 1964 .

[4]  B. Major,et al.  Inhomogeneity of rolling texture in fcc metals , 1980 .

[5]  F. Fedorov Theory of Elastic Waves in Crystals , 1968 .

[6]  R. N. Thurston Effective Elastic Coefficients for Wave Propagation in Crystals under Stress , 1965 .

[7]  M. Biot The Influence of Initial Stress on Elastic Waves , 1940 .

[8]  C. Windsor,et al.  Measurement of internal stress within bulk materials using neutron diffraction , 1981 .

[9]  R. Roe Description of Crystallite Orientation in Polycrystalline Materials. III. General Solution to Pole Figure Inversion , 1965 .

[10]  A. Krawitz,et al.  Measurement of a Stress Gradient through the Bulk of an Aluminum Alloy Using Neutrons , 1982 .

[11]  Nelson N. Hsu,et al.  Acoustical birefringence and the use of ultrasonic waves for experimental stress analysis , 1974 .

[12]  habil. H. J. Bunge Über die elastischen Konstanten kubischer Materialien mit beliebiger Textur , 1968 .

[13]  Charles S. Barrett,et al.  The Structure of Metals , 1904, Nature.

[14]  H. L. Cox,et al.  XXXIV. The correction of elasticity measurements on slightly anisotropic materials , 1954 .

[15]  S. Macewen,et al.  The use of time-of-flight neutron diffraction to study grain interaction stresses , 1983 .

[16]  R. Roe,et al.  Inversion of Pole Figures for Materials Having Cubic Crystal Symmetry , 1966 .

[17]  P. R. Morris Averaging Fourth‐Rank Tensors with Weight Functions , 1969 .

[18]  R. Roe,et al.  Description of Crystallite Orientation in Polycrystalline Materials Having Fiber Texture , 1964 .