PSI - Issue 6
Alexander K. Belyaev / Procedia Structural Integrity 6 (2017) 201–207 A.K.Belyaev et al. / Structural Integrity Procedia 00 (2017) 000–000
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precision strain gage in order to minimize the influence of the Portevin-Le Chatelier e ff ect on the results of precision measurements. The nonlinear decrease in the velocities of the longitudinal and two transverse waves of mutually orthogonal polarization was experimentally established. It can be caused by accumulation of damages in the process of inelastic deformation (cf. Fig. 2a,b). The nonlinear character of the dependence of acoustic anisotropy on stresses and on deformations was also ob served (cf. Fig. 4a,b). It cannot be described by the generally accepted formula for acoustic anisotropy (2), based on the nonlinearly elastic Murnaghan model and establishing a linear relationship between acoustic anisotropy, stresses, and plastic deformations. The theoretical dependence (7) between the principal values of damage tensor and acoustic anisotropy of specimens from commercial alloy in the region of large plastic deformations was experimentally confirmed. The use of an explicit additive scheme for symmetrization of the e ff ective stress tensor provides the best correlation with the experimentally measured acoustic anisotropy. The conducted investigations confirm the relationship between acoustic anisotropy and damage. It has a significant importance for the technical diagnostics of structures by using the acoustoelasticity method.
Acknowledgements
The research was carried out in the framework of project No. 15-19-00091 of the Russian Science Foundation. The financial support by the Russian Science Foundation is gratefully acknowledged.
References
Benson, R. W., Raelson, V. J., 1959. Acoustoelasticity. Product Engineering 30, 56-59. Hughes, D.S., Kelly, J.L., 1953. Second-Order Elastic Deformation of Solids. Physical Review 92 (5), 1145-1149. Toupin, R. A., Bernstein, B., 1961. Sound Waves in Deformed Perfectly Elastic Materials. Acoustoelastic E ff ect. The Journal of the Acoustical Society of America 33 (2), 216-225. Thurston, R. N., Brugger, K., 1964. Third-Order Elastic Constants and the Velocity of Small Amplitude Elastic Waves in Homogeneously Stressed Media. Physical Review 133 (6A), 1604-1610. Murnaghan, F. D., 1937. Finite Deformations of an Elastic Solid. American Journal of Mathematics 59, 235-260. Crecraft, D. I., 1967. The Measurement of Applied and Residual Stresses in Metals Using Ultrasonic Waves. Journal of Sound and Vibration 5 (1), 173-192. Tokuoka, T., Saito, M., 1969. Elastic Wave Propagations and Acoustical Birefringence in Stressed Crystals. The Journal of the Acoustical Society of America 45 (5), 1241-1246. King, R.B., Fortunko, C M ., 1983. Determination of In-Plane Residual Stress States in Plates Using Horizontally Polarized Shear Waves. Journal of Applied Physics 54 (6), 3227-3035. Pao, Y. H., Gamer, U., 1985. Acoustoelastic Waves in Orthotropic Media. The Journal of the Acoustical Society of America 77 (3), 806-812. Johnson, G. C , 1981. On the Applicability of Acoustoelasticity for Residual Stress Determination. ASME Journal of applied Mechanics 48, 791-795. Toda, H., Fukuoka, H., Ohmori, H., 1982. Variations in Texture-Induced Acoustic Anisotropy due to Compressive Deformations. Journal of the Society of Materials Science 31 (342), 238-243. Hirao, M., Pao, Y. H., 1985. Dependence of Acoustoelastic Birefringence on Plastic Strains in a Beam. The Journal of the Acoustical society of America 77 (5), 1659- 1664. Kobayashi, M., 1987. Theoretical Study of Acoustoelastic E ff ects Caused by Plastic Anisotropy Growth. International Journal of Plasticity3 (1), 1-20. King, R. B., Herrmann, G., 1982. Application of Ultrasonic Stress Measurements to Nondestructive Evaluation of the J Integral in Elastic-Plastic deformation. Engineering Fracture Mechanics 16 (2), 221-227. Kobayashi, M., 1992. Acoustoelastic Theory or Finite Plastic Deformation of Solids. JSME International Journal 35 (1), 45-52. King, R. B., Herrmann, G., Kino, G. S., 1981. Use of Stress Measurements With Ultrasonics for Nondestructive Evaluation of the J Integral. Engineering Fracture Mechanics 15 (1-2), 77-86. Kobayashi, M., 1998. Ultrasonic Nondestructive Evaluation of Microstructural Changes of Solid Materials Under Plastic Deformation—Part I. Theory. International Journal of Plasticity 14 (6), 511-522 Kamyshev, A.V., Makarov, S.V., Pasmannik, L.A., Smirnov, V.A., Modestov, V.S., Pivkov, A.V., 2017. Generalized Coe ffi cients to Measure Me chanical Stresses by Acoustoelasticity in Structures Made from Carbon and Low Alloy Steels. Defektoskopiya 1, 3-10 (in Russian). Belyaev, A.K., Lobachev, A.M., Modestov, V.S., Pivkov, A.V., Polyanskiy, V.A., Semenov, A.S., Tretyakov, D.A., Shtukin, L.V., 2016a. Estimating the Plastic Strain with the Use of Acoustic Anisotropy. Mechanics of Solids 51 (5), 606-611.
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