The following tables of the various acoustoelastic coefficients are furnished for information. They will be updated, as more information becomes available.
Table 1-a. Acoustoelastic constants (Lij) for longitudinal and shear waves in engineering materials
Material Load L21 L23 L22 L11 L12
Aluminum (1) Compressive -2.0 +0.6      
Aluminum (2) Compression -2.1 +0.57      
Aluminum (3) Tension - RD   +0.46 +0.68 -2.7  
Aluminum (3) Tension - TD     +0.93 -3.1  
Ductile Cast Iron (4)

As-cast

Annealed

Normalized

Q & T

Compressive

Compressive

Compressive

Compressive

      -2.15

-3.89

-3.92

-2.98

 
Rail Steel (5) (1080)  Tension

Compressive

-1.5 +0.09 +0.27 -2.38

-2.45

-0.15
CR Steel Bar (6) Tension -2.38
4140 Steel (7) Tension (2.25 MHz)

Tension (5 MHz)

      –2.2

–2.36

 
316L Stainless Steel (3) Tension  -1.5 -1.2 ~ 0 -2.1  
Clear acrylic,

aircraft grade (8)

Tension       –2.14  
Table 1-b. Acoustoelastic constants (LRij) for Rayleigh waves in engineering materials (3)
Material Load LR13 LR23
Aluminum Tension - RD -1.1 +0.5
Aluminum Tension - TD -0.48 +0.5
316L Stainless Steel Tension     
Sources

Becker, F. L., "Ultrasonic Determination of Residual Stress," Battelle-Pacific Northwest Laboratories, Richland, WA, January 1973.

Hsu, N. N., "Shear Wave Birefringence," Proceedings of a Workshop on Nondestructive Evaluation of Residual Stress, Nondestructive Testing Information and Analysis Center (NTIAC), NTIAC-76-2, August 13-14, 1975, pp.173-178.

Tanala, E., G. Bourse, M. Fremiot and J. F. De Belleval, "Determination of Near Surface Residual Stress on Welded Joints using Ultrasonic Methods," NDT&E International, Vol. 28, No. 2, 1995, pp. 83-88.

Srinivasan, M., Chundu, S., Bray, D., and Alagarsamy, A., "Ultrasonic Techniques for Residual Stress Measurement in Ductile Iron Continuous Cast Round Bars," Journal of Testing and Evaluation, Vol. 20, No. 5, Sept. 1992, pp. 331-335.

Egle, D. M., and Bray, D. E., "Measurement of the Acoustoelastic and Third-Order Elastic Constants for Rail Steel," Journal of the Acoustical Society of America, Vol. 60, No. 3, September 1976, pp. 741-744.

Santos, A. A., and Bray, D. E., "Ultrasonic Stress Measurement using PC Based and Commercial Flaw Detectors," To appear Review of Scientific Instruments, Sept 2000.

Tang, W. and Bray, D., "Stress and Yielding Studies Using Critical refracted Longitudinal Waves," NDE Engineering Codes and Standards and Material Characterization, Proceedings 1996 ASME Pressure Vessel and Piping Conference, Montreal, Quebec, July 1996, PVP-Vol. 232, NDE-Vol-15, J. F. Cook, Jr., C. D. Cowfer, and C. C. Monahan, Eds. The American Society of Mechanical Engineering, New York, NY, pp. 41-48.

Shaikh, N., "Transducer and Technique for Ultrasonic Nondestructive Evaluation of Structural Plates," Review in Progress in Quantitative Nondestructive Evaluation, Vol. 11, D. O. Thompson and D. E. Chimenti, Eds. Plenum Press, New York, 1992, pp. 1831-1835.