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D. A. Tretyakov

ACOUSTIC ANISOTROPY AT DIFFERENT STAGES OF THE DEFORMATION PROCESS IN METALS

The paper investigates acoustic anisotropy arising under inelastic loading of industrial alloy structures. The results of ultrasonic measurements on specimens of an aluminum-manganese alloy indicate a nonlinear nonmonotonic strain dependence of acoustic anisotropy. It cannot be explained in terms of the theory of acoustoplasticity and the Murnaghan nonlinear elastic model. This theory establishes a linear relationship between acoustic anisotropy and plastic strain. The location of the zones of nonmonotonic changes in the value of acoustic anisotropy is compared with the points on the strain curve. The results suggest that that acoustic anisotropy is an indicator of the beginning of various stages of the deformation process in metals.

Acknowledgements: The research was financially supported by the Siemens grant program.

Keywords: acoustic anisotropy, plastic deformation, ultrasonic waves, nondestructive testing, acoustoplasticity

Bibliography:

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  2. Truesdell C. General and exact theory of waves in finite elastic strain. Archive for Rational Mechanics and Analysis, 1961, vol. 8, no. 1, pp. 263–296. DOI: 10.1007/BF00277444.

  3. Hughes D.S., Kelly J.L. Second-order elastic deformation of solids. Physical Review, 1953, vol. 92, no. 5, pp. 1145–1159. DOI: 10.1103/PhysRev.92.1145.

  4. Benson R.W., Raelson V.J. From ultrasonics to a new stress-analysis technique. Acoustoelasticity. Product Eng., 1959, vol. 30, no. 29, pp. 56–59.

  5. Bobrenko V.M., Kutsenko A.N., Sheremetikov A.S. Acoustic tensometry. II: Methods and apparatus/survey. Soviet Journal of Nondestructive Testing, 1981, vol. 16, no. 12, pp. 910–924.

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  9. Guz A.N., Makhort F.G., Gushcha O.I., Lebedev V.K. Osnovy ultrazvukovogo nerazrushayushchego metoda opredeleniya napryazheniy v tverdykh telakh [Basics of Ultrasonic Nondestructive Method for Determining the Stresses in Solids]. Kiev, Naukova Dumka Publ., 1974, 106 p. (In Russian).

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  19. Kamyshev A.V., Nikitina N.E., Smirnov V.A. Measurement of the residual stresses in the treads of railway wheels by the acoustoelasticity method. Russian Journal of Nondestructive Testing, 2010, vol. 46, no. 3, pp. 189–193. DOI: 10.1134/S106183091003006X.

  20. Nikitina N.Y., Kamyshev A.V., Kazachek S.V. The application of the acoustoelasticity method for the determination of stresses in anisotropic pipe steels. Russian Journal of Nondestructive Testing, 2015, vol. 51, no. 3, pp. 171–178. DOI: 10.1134/S1061830915030079.

  21. Kamyshev A.V., Pasmanik L.A., Smirnov V.A., Modestov V.S., Pivkov A.V. Use of acoustic anisotropy parameter for the analysis of damage accumulation in the area of SW111 during production and operation of steam generators PGV-1000. In: Transactions of the 9-th International Scientific and Technical Conference: Safety assurance of NPP with VVER. Scientific and technical electronic edition, May 19–22, 2015, OKB “Gidropress” Publ., Podolsk, Russia. (In Russian).

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  23. Pao Y.H., Wu T.T., Gamer U. Acoustoelastic birefringences in plastically deformed solids: Part I: Theory. Journal of Applied Mechanics, 1991, vol. 58, no. 1, pp. 11–17. DOI: 10.1115/1.2897137.

  24. Wu T.T., Hirao M., Pao Y.H. Acoustoelastic birefringences in plastically deformed solids. Part II: Experiment. Journal of Applied Mechanics, 1991, vol. 58, no. 1, pp. 18–23. DOI: 10.1115/1.2897148.

  25. Kobayashi M. Theoretical study of acoustoelastic effects caused by plastic anisotropy growth. International Journal of Plasticity, 1987, vol. 3, no. 1, pp. 1–20. DOI: 10.1016/0749-6419(87)90014-3.

  26. Kobayashi M. Ultrasonic nondestructive evaluation of microstructural changes of solid materials under plastic deformation. Part I: Theory. International Journal of Plasticity, 1998, vol. 14, no. 6, pp. 511–522. DOI: 10.1016/S0749-6419(98)00005-9.

  27. Kobayashi M. Ultrasonic nondestructive evaluation of microstructural changes of solid materials under plastic deformation. Part II: Experiment and simulation. International Journal of Plasticity, 1998, vol. 14, no. 6, p. 523–535. DOI: 10.1016/S0749-6419(98)00006-0.

  28. Murnaghan F.D. Finite deformations of an elastic solid. American Journal of Mathematics, 1937, vol. 59, no. 2, p. 235–260. DOI: 10.2307/2371405.

  29. Hirao M., Pao Y. H. Dependence of acoustoelastic birefringence on plastic strains in a beam. The Journal of the Acoustical Society of America, 1985, vol. 77, no. 5, pp. 1659–1664. DOI: 10.1121/1.391964.

  30. Ghosh S., Li M., Gardiner D. A computational and experimental study of cold rolling of aluminum alloys with edge cracking. Journal of Manufacturing Science and Engineering, 2004, vol. 126, no. 1, p. 74–82. DOI: 10.1115/1.1645877.

  31. Belyaev A.K., Polyanskiy V.A., Semenov A.S., Tretyakov D.A., Yakovlev Y.A. Investigation of the correlation between acoustic anisotropy, damage and measures of the stress-strain state. Procedia Structural Integrity, 2017, vol. 6, pp. 201–207. DOI: 10.1016/j.prostr.2017.11.031.

  32. O'Neill B., Maev R.G. Acousto-elastic measurement of the fatigue damage in Waspaloy. Research in Nondestructive Evaluation, 2006, vol. 17, no. 3, pp. 121–135. DOI: 10.1080/09349840600787931.

  33. Riedel H., Andrieux F., Walde T., Karhausen K. F. The formation of edge cracks during rolling of metal sheet. Steel Research International, 2007, vol. 78, no. 10–11, pp. 818–824. DOI: 10.1002/srin.200706291.

  34. Ivanova Y., Partalin T., Pashkuleva D. Acoustic investigations of the steel samples deformation during the tensile. Russian Journal of Nondestructive Testing, 2017, vol. 53, no. 1, pp. 39–50. DOI: 10.1134/S1061830917010077.

  35. Kurashkin K.V., Gonchar A.V. Variation of acoustic characteristics of an aluminum alloy during plastic deformation at room and subzero temperatures. In: AIP Conference Proceedings, AIP Publishing, 2018, vol. 2053, no. 1, pp. 030030. DOI: 10.1063/1.5084391.

  36. Alhimenko A.A., Belyaev A.K., Grishchenko A.I., Semenov A.S., Tretyakov D.A., Polyanskiy V.A., Yakovlev Y.A. Propagation of acoustic waves during the control of hydrogen-induced destruction of metals by the acoustoelastic effect. 2018 Days on Diffraction (DD), IEEE, 2018, pp. 11–16. DOI: 10.1109/DD.2018.8553151.

  37. Belyaev A.K., Grishchenko A.I., Polyanskiy V.A., Semenov A.S., Tretyakov D.A., Shtukin L. V., Arseniev D.G., Yakovlev Y.A. Acoustic anisotropy and dissolved hydrogen as an indicator of waves of plastic deformation. 2017 Days on Diffraction (DD), IEEE, 2017, pp. 39–44. DOI: 10.1109/DD.2017.8167992.

  38. Semenov A.S., Polyanskii V.A., Shtukin L.V., Tretyakov D.A. Effect of Surface Layer Damage on Acoustic Anisotropy. Journal of Applied Mechanics and Technical Physics, 2018, vol. 59, no. 6, pp. 1136–1144. DOI: 10.1134/S0021894418060202.

  39. Alekseeva E.L., Belyaev A.K., Pasmanik L.A., Polyanskiy A.M., Polyanskiy V.A., Tretiakov D.A., Yakovlev Y.A. A study of hydrogen cracking in metals by the acoustoelasticity method. In: AIP Conference Proceedings, AIP Publishing, 2017, vol. 1915, no. 1, pp. 030001. DOI: 10.1063/1.5017321.

  40. Belyaev A.K., Mansyrev D.E., Polyanskiy V.A., Polyanskiy A.M., Tretyakov D.A., Yakovlev Yu.A. Boundary Layer of Hydrogen Concentration under Plastic Deformation. Diagnostics, Resource and Mechanics of Materials and Structures, 2017, no. 4, pp. 32–43. DOI: 10.17804/2410-9908.2017.4.032-043. Available at: http://dream-journal.org/issues/2017-4/2017-4_167.html

  41. Polyanskiy V.A., Belyaev A.K., Yakovlev Y.A., Polyanskiy A.M., Tretyakov D.A. Influence of the skin effect of plastic deformation on hydrogen accumulation in metals. In: AIP Conference Proceedings, AIP Publishing, 2018, vol. 2053, no. 1, pp. 020011. DOI: 10.1063/1.5084357.

  42. Polyanskiy A.M., Polyanskiy V.A., Frolova K.P., Yakovlev Yu.A. Hydrogen diagnostics of metals and alloys. Diagnostics, Resource and Mechanics of Materials and Structures, 2018, no. 6, pp. 37–50. DOI: 10.17804/2410-9908.2018.6.037-050. Available at: http://dream-journal.org/DREAM_Issue_6_2018_Polyanskiy_A.M._et_al._037_050.pdf

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Д. А. Третьяков

АКУСТИЧЕСКАЯ АНИЗОТРОПИЯ НА РАЗЛИЧНЫХ СТАДИЯХ ДЕФОРМАЦИОННОГО ПРОЦЕССА В МЕТАЛЛАХ

Работа посвящена исследованию акустической анизотропии, возникающей при неупругом нагружении конструкций из промышленного проката. Результаты ультразвуковых измерений, проведенных на образцах из алюминиево-марганцевого сплава, указывают на существование нелинейной немонотонной зависимости акустической анизотропии от деформаций. Она не может быть объяснена в рамках используемой в теории акустопластичности нелинейно-упругой модели Мурнагана и полученного на ее основании соотношения, устанавливающего линейную связь акустической анизотропии с величиной пластических деформаций. По результатам сопоставления участков немонотонности полученной экспериментальной зависимости с характерными точками на кривой деформирования, выдвинуто предположение о том, что акустическая анизотропия является индикатором различных стадий деформационного процесса в металлах.

Благодарности: Исследование выполнено при финансовой поддержке стипендиальной программы компании Siemens.

Ключевые слова: акустическая анизотропия, пластические деформации, ультразвуковые волны, неразрушающий контроль, акустопластичность

Библиография:

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2.  Truesdell C. General and exact theory of waves in finite elastic strain // Archive for Rational Mechanics and analysis. – 1961. – Vol. 8, no. 1. – P. 263–296. – DOI: 10.1007/BF00277444.

3.  Hughes D. S., Kelly J. L. Second-order elastic deformation of solids // Physical Review. – 1953. – Vol. 92, no. 5. – P. 1145–1159. – DOI: 10.1103/PhysRev.92.1145.

4.  Benson R. W., Raelson V. J. From ultrasonics to a new stress-analysis technique // Acoustoelasticity. Product Eng. – 1959. – Vol. 30, no. 29. – P. 56–59.

5.  Bobrenko V. M., Kutsenko A. N., Sheremetikov A. S. Acoustic tensometry. II - Methods and apparatus/survey // Soviet Journal of Nondestructive Testing. – 1981. – Vol. 16, no. 12. – P. 910–924.

6.  Бобренко В. М., Вангели М. С., Куценко А. Н. Акустические методы контроля напряженного состояния материала деталей машин. – Кишинев : Штиинца, 1981. – 148 с.

7.  Bobrenko V. M. Ultrasonic methods and devices for inspe6cting mechanical stresses // Soviet Journal of Nondestructive Testing. – 1984. – Vol. 19, no. 12. – P. 886–891.

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14. Bobrenko V. M., Averbukh I. I. Ultrasonic method of measuring stresses in parts of threaded joints // Soviet Journal of Nondestructive Testing. – 1974. – Vol. 10, no. 1. – P. 59–66.

15. Никитина Н. Е. Акустоупругость. Опыт практического применения. – Н. Новгород : ТАЛАМ, 2005. – 208 с.

16. Nikitina N. E. The effect of the intrinsic anisotropy of material on the accuracy of stress measurement by the method of acoustoelasticity // Russian Journal of Nondestructive Testing. – 1996. – Vol. 32, no. 8. – P. 650–656.

17. Nikitina, N.E. Studies of the stressed state of welded parts by the acoustoelasticity method // Probl. Mashinostr. Nadezhnosti Mash. – 1999. – No. 4. – P. 70–73.

18. Nikitina N. E. Determination of plane stress states in structural materials by using elastic body waves // Russian Journal of Nondestructive Testing. – 1999. – Vol. 35, no. 1. – P. 41–46.

19. Kamyshev A. V., Nikitina N. E., Smirnov V. A. Measurement of the residual stresses in the treads of railway wheels by the acoustoelasticity method // Russian Journal of Nondestructive Testing. – 2010. – Vol. 46, no. 3. – P. 189–193. – DOI: 10.1134/S106183091003006X.

20. Nikitina N. Y., Kamyshev A. V., Kazachek S. V. The application of the acoustoelasticity method for the determination of stresses in anisotropic pipe steels // Russian Journal of Nondestructive Testing. – 2015. – Vol. 51, no. 3. – P. 171–178. – DOI: 10.1134/S1061830915030079.

21. Use of acoustic anisotropy parameter for the analysis of damage accumulation in the area of SW111 during production and operation of steam generators PGV-1000 / A. V. Kamyshev, L. A. Pasmanik, V. A. Smirnov, V. S. Modestov, A. V. Pivkov // Transactions of the 9-th International scientific and technical conference Safety assurance of NPP with WWER : Scientific and Technical Electronic Edition. – 2015.

22. Pao Y. H. Theory of acoustoelasticity and acoustoplasticity // Solid mechanics research for quantitative non-destructive evaluation. – Springer, Dordrecht, 1987. – P. 257–273. – DOI: 10.1007/978-94-009-3523-5_16.

23. Pao Y. H., Wu T. T., Gamer U. Acoustoelastic birefringences in plastically deformed solids. Part I: Theory // Journal of Applied Mechanics. – 1991. – Vol. 58, no. 1. – P. 11–17. – DOI: 10.1115/1.2897137.

24. Wu T. T., Hirao M., Pao Y. H. Acoustoelastic birefringences in plastically deformed solids. Part II: Experiment //Journal of Applied Mechanics. – 1991. – Vol. 58, no. 1. – P. 18–23. – DOI: 10.1115/1.2897148.

25. Kobayashi M. Theoretical study of acoustoelastic effects caused by plastic anisotropy growth // International Journal of Plasticity. – 1987. – Vol. 3, no. 1. – P. 1–20. – DOI: 10.1016/0749-6419(87)90014-3.

26. Kobayashi M. Ultrasonic nondestructive evaluation of microstructural changes of solid materials under plastic deformation. Part I: Theory // International Journal of Plasticity. – 1998. – Vol. 14, no. 6. – P. 511–522. – DOI: 10.1016/S0749-6419(98)00005-9.

27. Kobayashi M. Ultrasonic nondestructive evaluation of microstructural changes of solid materials under plastic deformation. Part II: Experiment and simulation // International Journal of Plasticity. – 1998. – Vol. 14, no. 6. – P. 523–535. – DOI: 10.1016/S0749-6419(98)00006-0.

28. Murnaghan F. D. Finite deformations of an elastic solid // American Journal of Mathematics. – 1937. – Vol. 59, no. 2. – P. 235–260. – DOI: 10.2307/2371405.

29. Hirao M., Pao Y. H. Dependence of acoustoelastic birefringence on plastic strains in a beam // The Journal of the Acoustical Society of America. – 1985. – Vol. 77, no. 5. – P. 1659–1664. – DOI: 10.1121/1.391964.

30. Ghosh S., Li M., Gardiner D. A computational and experimental study of cold rolling of aluminum alloys with edge cracking // Journal of Manufacturing Science and Engineering. – 2004. – Vol. 126, no. 1. – P. 74–82. – DOI: 10.1115/1.1645877.

31. Investigation of the correlation between acoustic anisotropy, damage and measures of the stress-strain state / A. K. Belyaev, V. A. Polyanskiy, A. S. Semenov, D. A. Tretyakov, Y. A. Yakovlev // Procedia Structural Integrity. – 2017. – Vol. 6. – P. 201–207. – DOI: 10.1016/j.prostr.2017.11.031.

32. O'Neill B., Maev R. G. Acousto-elastic measurement of the fatigue damage in Waspaloy // Research in Nondestructive Evaluation. – 2006. – Vol. 17, no. 3. – P. 121–135. – DOI: 10.1080/09349840600787931.

33. The formation of edge cracks during rolling of metal sheet / H. Riedel, F. Andrieux, T. Walde, K. F. Karhausen // Steel Research International. – 2007. – Vol. 78, no. 10–11. – P. 818–824. – DOI: 10.1002/srin.200706291.

34. Ivanova Y., Partalin T., Pashkuleva D. Acoustic investigations of the steel samples deformation during the tensile // Russian Journal of Nondestructive Testing. – 2017. – Vol. 53, no. 1. – P. 39–50. – DOI: 10.1134/S1061830917010077.

35. Kurashkin K. V., Gonchar A. V. Variation of acoustic characteristics of an aluminum alloy during plastic deformation at room and subzero temperatures // AIP Conference Proceedings. – AIP Publishing, 2018. – Vol. 2053, no. 1. – P. 030030. – DOI: 10.1063/1.5084391.

36. Propagation of acoustic waves during the control of hydrogen-induced destruction of metals by the acoustoelastic effect / A. A. Alhimenko, A. K. Belyaev, A. I. Grishchenko, A. S. Semenov, D. A. Tretyakov, V. A. Polyanskiy, Y. A. Yakovlev // 2018 Days on Diffraction (DD). – IEEE, 2018. – P. 11–16. – DOI: 10.1109/DD.2018.8553151.

37. Acoustic anisotropy and dissolved hydrogen as an indicator of waves of plastic deformation / A. K. Belyaev, A. I. Grishchenko, V. A. Polyanskiy, A. S. Semenov, D. A. Tretyakov, L. V. Shtukin, D. G. Arseniev, Y. A. Yakovlev // 2017 Days on Diffraction (DD). – IEEE, 2017. – P. 39–44. – DOI: 10.1109/DD.2017.8167992.

38. Effect of Surface Layer Damage on Acoustic Anisotropy / A. S. Semenov, V. A. Polyanskii, L. V. Shtukin, D. A. Tretyakov // Journal of Applied Mechanics and Technical Physics. – 2018. – Vol. 59, no. 6. – P. 1136–1144. – DOI: 10.1134/S0021894418060202.

39. A study of hydrogen cracking in metals by the acoustoelasticity method / E. L. Alekseeva, A. K. Belyaev, L. A. Pasmanik, A. M. Polyanskiy, V. A. Polyanskiy, D. A. Tretiakov, Y. A. Yakovlev // AIP Conference Proceedings. – AIP Publishing, 2017. – Vol. 1915, no. 1. – P. 030001. – DOI: 10.1063/1.5017321.

40. Boundary Layer of Hydrogen Concentration under Plastic Deformation / A. K. Belyaev, D. E. Mansyrev, V. A. Polyanskiy, A. M. Polyanskiy, D. A. Tretyakov, Yu. A. Yakovlev // Diagnostics, Resource and Mechanics of Materials and Structures. – 2017. – No. 4. – P. 32–43. – DOI: 10.17804/2410-9908.2017.4.032-043. – URL: http://dream-journal.org/issues/2017-4/2017-4_167.html

41. Influence of the skin effect of plastic deformation on hydrogen accumulation in metals / V. A. Polyanskiy, A. K. Belyaev, Y. A. Yakovlev, A. M. Polyanskiy, D. A. Tretyakov // AIP Conference Proceedings. – AIP Publishing, 2018. – Vol. 2053, no. 1. – P. 020011. – DOI: 10.1063/1.5084357.

42. Hydrogen diagnostics of metals and alloys / A. M. Polyanskiy, V. A. Polyanskiy, K. P. Frolova, Yu. A. Yakovlev // Diagnostics, Resource and Mechanics of Materials and Structures. – 2018. – No. 6. – P. 37–50. – DOI: 10.17804/2410-9908.2018.6.037-050. – URL: http://dream-journal.org/DREAM_Issue_6_2018_Polyanskiy_A.M._et_al._037_050.pdf

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Учредитель:  Федеральное государственное бюджетное учреждение науки Институт машиноведения Уральского отделения Российской академии наук
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