Abstract
The theory of acoustoelasticity and several recently developed theories of acoustoplasticity are reviewed in this article. For a body with plastic deformation, the acoustoelastic birefringence is affected by the initial stress and the texture, and the latter is related to plastic strains and inherent anisotropy of the body. The birefringence formula may be applied to measure residual stresses by ultrasonic techniques.
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References
Benson, R.W. and Raelson, V.J.. “Acoustoelasticity”, Product Engineering, 30, 1959, pp. 56–59.
Crecraft, D.I., “The Measurement of Applied and Residual Stresses in Metals Using Ultrasonic Waves”, J. Sound Vib., 5, 1967, pp. 173–192.
Eringen, A.C. and Suhubi, E.S., Elastodynamics, Vol. 1, (Chapter 4), Academic Press, New York, 1974.
Fukuoka, H., An article in this volume, 1986.
Hart, E.W., “Constitutive Relations for the Nonelastic Deformation of Metals”, J. Eng Materials and Technology, (Trans. ASME), 98, 1976, pp. 193–202.
Hirao, M. and Pao, Y.H., “Dependence of Acoustoelastic Birefringence on Plastic Strains in a Beam,” J. Acoust. Soc. Am., 77, 1985, pp. 1659–1664.
Johnson, G.C., “Acoustoelastic Theory for Elastic-Plastic Materials”, J. Acoust. Soc. Am., 70, 1981, pp. 591–595.
Johnson, G.C., “The Effect of Plastic Deformation on the Acoustoelastic Response of Metals”, J. Appl Mech., 50, 1983, pp. 689–691.
Johnson, G.C., “Acoustoelastic Response of a Polycrystalline Aggregate with Orthotropic Texture,” in Wave Propagation in Inhomogeneous Media and Ultrasonic NDE, G.C. Johnson (Ed.), AMD, Vol 62, ASME, New York, 1984, pp. 175–184.
Kobayashi, M., “Analysis of Acoustic Phenomena in Elasto-Plastically Deformed Condition”, (in Japanese) Transactions of Japan Soc. Mech. Engr., A48, No. 432, 1982, pp. 1072–1981.
Pao, Y.H. and Gamer, U., “Acoustoelastic Waves in Orthotropic Media”, J. Acoust. Soc. Am., 77, 1985, pp. 806–812.
Pao, Y.H. and Gamer, U., “Theory of Acoustoelasticity for Elastic-Plastic Solids”, Materials Science Center Report No. 5121, 1983, Cornell University, Ithaca, New York (Revised in 1985).
Pao, Y.H., Sachse, W. and Fukuoka, H., “Acoustoelasticity and Ultrasonic Measurements of Residual Stresses”, in Physical Acoustics, Vol. 17, W.P. Mason and R.N. Thurston (Eds.), Academic Press, New York, 1984, pp. 62–143.
Sayers, C.M., An article in this volume. 1986.
Thurston, R.N. and Brugger, K., “Third-Order Elastic Constants and the Velocity of Small Amplitude Elastic Waves in Homogeneously Stressed Media”, Phys. Rev., 133, 1964, pp. A1604–1610.
Tokuoka, T. and Iwashimizu, Y., “Acoustical Birefringence of Ultrasonic Waves in Deformed Isotropic Elastic Materials,” Int. J. Solids and Structures, 4, 1968, pp. 383–389.
Tokuoka, T. and Saito, M., “Elastic Wave Propagations and Acoustical Birefringence in Stressed Crystals”, J. Acoust. Soc. Am., 45, 1969, pp. 1241–1246.
Toupin, R.A. and Bernstein, B., “Sound Waves in Deformed Perfectly Elastic Materials. Acoustoelastic Effect”, J. Acoust. Soc. Am., 33, 1961, pp. 216–225.
Hogar, A., “On the Determination of Residual Stress in an Elastic Body”, to appear in J. Elasticity.
Man, C.S. and Lu, W.Y., “Towards an Acoustoelastic Theory for Measurement of Residual Stress”, to appear J. Elasticity.
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© 1987 Martinus Nijhoff Publishers, Dordrecht
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Pao, YH. (1987). Theory of Acoustoelasticity and Acoustoplasticity. In: Achenbach, J.D., Rajapakse, Y. (eds) Solid mechanics research for quantitative non-destructive evaluation. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3523-5_16
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DOI: https://doi.org/10.1007/978-94-009-3523-5_16
Publisher Name: Springer, Dordrecht
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