1. Von Gerstner F.A. Ueber die Festigkeit der Körper. Annalen der Physik, 1832, vol. 102, iss. 10, pp. 269–279. DOI: 10.1002/andp.18321021005
2. Savart F. Recherches sur les vibrations longitudinales. Ann. Chim. Phys., 1837, vol. 65, pp. 337–402.
3. Portevin A., Le Chatelier F. Sur unphenomene observe lorsdel’essai de traction d’alliagesencours de transformation. Compt. Rend. Acad. Sci., Paris, 1923, vol. 176, pp. 507–510.
4. Penning P. Mathematics of the Portevin-Le Chatelier effect. Acta Metallurgica, 1972, vol. 20, no. 10, pp. 1169–1175. DOI: 10.1016/0001-6160(72)90165-4
5. Lebyodkin M., Brechetz Y., Estrin Y., Kubin L. Statistical behaviour and strain localization patterns in the Portevin-Le Chatelier effect. Acta Materialia, 1996, vol. 44, no. 11, pp. 4531–4541. DOI: 10.1016/1359-6454(96)00076-6
6. McCormiсk P.G. A model for the Portevin-Le Chatelier effect in substitutional alloys. Acta Metallurgica, 1972, vol. 20, no. 3, pp. 351–354. DOI: 10.1016/0001-6160(72)90028-4
7. Kalk A., Nortmann A., Schwink C. Dynamic strain ageing and the boundaries of stable plastic deformation in Cu-Mn single crystals. Philosophical Magazine A, 1995, vol. 72, no. 5, pp. 1239–1259. DOI: 10.1080/01418619508236253.
8. Leoni F., Zapperi S. Dislocation mutual interactions mediated by mobile impurities and the conditions for plastic instabilities. Physical Review E, 2014, vol. 89, no. 2, pp. 022403. DOI: 10.1103/PhysRevE.89.022403
9. Kudinova N.R., Polyanskiy V.A., Polyanskiy A.M., Yakovlev Yu.A. Contribution of Surface Tension Energy during Plastic Deformation of Nanomaterials. Doklady Physics, 2016, vol. 61, no. 10, pp. 514–516. DOI: 10.1134/S1028335816100104
10. Phillips A., Brick R.M. Effect of Quenching Strains on Lattice Parameter and Hardness Values of High Purity Aluminum-copper Alloys. Metals Technol., Tech. Paper., 1934, vol. 563, pp. 94–112.
11. Grishchenko A.I., Modestov V.S., Polyanskiy V.A., Tretyakov D.A., Shtukin L.V. Experimental investigation of the acoustic anisotropy field in the sample with a stress concentrator. St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2017, vol. 3, iss. 1, pp. 77–82. DOI: 10.1016/j.spjpm.2017.02.005
12. Belyaev A.K., Polyanskiy V.A., Lobachev A.M., Modestov V.S., Semenov A.S., Grishchenko A.I., Yakovlev Y.A., Shtukin L.V., Tretyakov D.A. Propagation of sound waves in stressed elasto-plastic material. In: Days on Diffraction 2016: Proceedings of the International Conference, St. Petersburg, 2016, pp. 56–61. DOI: 10.1109/DD.2016.7756813
13. Belyaev A.K., Blekhman I.I., Polyanskiy V.A. Equation for the evolution of trapped hydrogen in an elastic rod subjected to high-frequency harmonic excitation. Acta Mech., 2016, vol. 227, pp. 1515–1518. DOI: 10.1007/s00707-015-1505-1
14. Belyaev A.K., Polyanskiy V.A., Grishchenko A.I., Lobachev A.M., Mansyrev D.I., Modestov V.S., Pivkov A.V., Semenov A.S., Shtukin L.V., Tretyakov D.A., Yakovlev Yu.A. Application of the acoustic anisotropy approach for technical diagnostics of structures with large plastic deformations. In: AIP Conference Proceedings, AIP Publishing, 2016, vol. 1785, no. 1, pp. 030004. DOI: 10.1063/1.4967025
15. Polyanskiy V.A., Belyaev A.K., Arseniev D.G., Yakovlev Yu.A., Polyanskiy A.M., Stoschka M. Measurement of dissolved hydrogen distributions after ultrasonic peening of heataffected zone of welded joint. AIP Conference Proceedings, AIP Publishing, 2016, vol. 1785, no. 1, pp. 030022-1–030022-4. DOI: 10.1063/1.4967043
16. Belyaev A.K., Polyanskiy A.M., Polyanskiy V.A., Sommitsch Ch., Yakovlev Yu.A. Multichannel diffusion vs TDS model on example of energy spectra of bound hydrogen in 34CrNiMo6 steel after a typical heat treatment. International Journal of Hydrogen Energy, 2016, vol. 41, iss. 20, pp. 8627–8634. DOI: 10.1016/j.ijhydene.2016.03.198
17. Belyaev A.K., Lobachev A.M., Modestov V.S., Pivkov A.V., Polyanskii V.A., Semenov A.S., Tret’yakov D.A., Shtukin L.V. Estimating the plastic strain with the use of acoustic anisotropy. Mechanics of Solids, 2016, vol. 51, iss. 5, pp. 606–611. DOI: 10.3103/S0025654416050149
18. 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
19. Pao Y.H. Theory of acoustoelasticity and acoustoplasticity. In: Solid mechanics research for quantitative non-destructive evaluation, Springer, Netherlands, 1987, pp. 257–273
20. 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
21. Alekseeva E.L., Alhimenko A.A., Belyaev A.K., Lobachev A.M., Polyanskiy V.A., Rostovykh G.N., Tretyakov D.A., Shtukin L.V., Yakovlev Y.A. Evaluation of stress-strain state and cracking of weatherproof structural steel by acoustoelasticity. Construction of Unique Buildings and Structures, 2016, vol. 12, pp. 33–44. (In Russian). DOI: 10.18720/CUBS.51.3
22. NACE Standard TM0284–2003. Test Method. Evaluation of Pipeline and Pressure Vessel Steels for Resistance to Hydrogen-Induced Cracking.
23. Andronov D.Yu., Arseniev D.G., Polyanskiy A.M., Polyanskiy V.A., Yakovlev Yu.A. Application of multichannel diffusion model to analysis of hydrogen measurements in solid. International. Journal of Hydrogen Energy, 2017, vol. 42, iss. 1, pp. 699–710. DOI: 10.1016/j.ijhydene.2016.10.126
24. Polyanskiy A.M., Polyanskiy V.A., Yakovlev Yu.A. Experimental determination of parameters of multichannel hydrogen diffusion in solid probe. International Journal of Hydrogen Energy, 2014, vol. 39, iss. 30, pp. 17381–17390. DOI: 10.1016/j.ijhydene.2014.07.080
25. GOST 21132.1–98. Alyuminiy i splavy alyuminievyye. Metod opredeleniya vodoroda v tverdom metalle vakuum-nagrevom [Aluminum and Aluminum Alloys. Methods for the Determination of Hydrogen in Solid Metal by Vacuum Heating]. (In Russian).
26. Indeitsev D., Semenov В. About a model of structural-phase transformations under hydrogen influence. Acta Mechanica, 2008, vol. 195, pp. 295304. DOI: 10.1007/s00707-007-0568-z
27. Belyaev A.K., Kudinova N.R., Polyanskiy V.A., Yakovlev Yu.A. The description of deformation and destruction of materials containing hydrogen by means of rheological model. St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2015, vol. 3, pp. 57–65. DOI: 10.5862/JPM.225.14
28. Gorsky W.S. Theorie des elastichen Nachwirkung in ungeordneten Mischkristallen (elastische Narchwirkung zweiter Art). Phys. Zeitschrift der Sowjetunion, 1935, vol. 8, pp. 457–471.

1. Von Gerstner F. A. Ueber die Festigkeit der Körper // Annalen der Physik. – 1832. – Vol. 102, iss. 10. – P. 269–279. – DOI: 10.1002/andp.18321021005
2. Savart F. Recherches sur les vibrations longitudinales // Ann. Chim. Phys. – 1837. – Vol. 65. – P. 337–402.
3. Portevin A., Le Chatelier F. Sur un phenomene observe lors del’essai de traction d’alliages en cours de transformation // Compt. Rend. Acad. Sci. – Paris. – 1923. – Vol. 176. – P. 507–510.
4. Penning P. Mathematics of the Portevin-Le Chatelier effect // Acta Metallurgica. – 1972. – Vol. 20, no. 10. – P. 1169–1175. – DOI: 10.1016/0001-6160(72)90165-4
5. Lebyodkin M., Brechetz Y., Estrin Y., Kubin L. Statistical behaviour and strain localization patterns in the Portevin-Le Chatelier effect // Acta materialia. – 1996. – Vol. 44, no. 11. – P. 4531– 4541. – DOI: 10.1016/1359-6454(96)00076-6
6. McCormiсk P. G. A model for the Portevin-Le Chatelier effect in substitutional alloys // Acta Metallurgica. – 1972. – Vol. 20, no. 3. – P. 351–354. – DOI: 10.1016/0001-6160(72)90028-4
7. Kalk A., Nortmann A., Schwink C. Dynamic strain ageing and the boundaries of stable plastic deformation in Cu-Mn single crystals // Philosophical Magazine A. – 1995. – Vol. 72, no. 5. – P. 1239–1259. – DOI: 10.1080/01418619508236253
8. Leoni F., Zapperi S. Dislocation mutual interactions mediated by mobile impurities and the conditions for plastic instabilities // Physical Review E. – 2014. – Vol. 89, no. 2. – P. 022403. – DOI: 10.1103/PhysRevE.89.022403
9. Contribution of Surface Tension Energy during Plastic Deformation of Nanomaterials / N. R. Kudinova, V. A. Polyanskiy, A. M. Polyanskiy, Yu. A. Yakovlev // Doklady Physics. – 2016. – Vol. 61, no. 10. – P. 514–516. – DOI: 10.1134/S1028335816100104
10. Phillips A., Brick R. M. Effect of Quenching Strains on Lattice Parameter and Hardness Values of High Purity Aluminum-copper Alloys // Metals Technol., Tech. Paper. – 1934. Vol. 563. – P. 94–112.
11. Experimental investigation of the acoustic anisotropy field in the sample with a stress concentrator / A. I. Grishchenko, V. S. Modestov, V. A. Polyanskiy, D. A. Tretyakov, L. V. Shtukin // St. Petersburg Polytechnical University Journal: Physics and Mathematics. – 2017. – Vol. 3, iss. 1. – P. 77–82. – DOI: 10.1016/j.spjpm.2017.02.005
12. Propagation of sound waves in stressed elasto-plastic material / A. K. Belyaev, V. A. Polyanskiy, A. M. Lobachev, V. S. Modestov, A. S. Semenov, A. I. Grishchenko, Y. A. Yakovlev, L. V. Shtukin, D. A. Tretyakov // Proceedings of the International Conference: Days on Diffraction 2016. – St. Petersburg, 2016. – P. 56–61. – DOI: 10.1109/DD.2016.7756813
13. Belyaev A. K., Blekhman I. I., Polyanskiy V. A. Equation for the evolution of trapped hydrogen in an elastic rod subjected to high-frequency harmonic excitation // Acta Mech. – 2016. – Vol. 227. – P. 1515–1518. – DOI: 10.1007/s00707-015-1505-1
14. Application of the acoustic anisotropy approach for technical diagnostics of structures with large plastic deformations / A. K. Belyaev, V. A. Polyanskiy, A. I. Grishchenko, A. M. Lobachev, D. I. Mansyrev, V. S. Modestov, A. V. Pivkov, A. S. Semenov, L. V. Shtukin, D. A. Tretyakov, Yu. A. Yakovlev // AIP Conference Proceedings. – AIP Publishing, 2016. – Vol. 1785, no. 1. – P. 030004. – DOI:10.1063/1.4967025
15. Measurement of dissolved hydrogen distributions after ultrasonic peening of heataffected zone of welded joint / V. A. Polyanskiy, A. K. Belyaev, D. G. Arseniev, Yu. A. Yakovlev, A. M. Polyanskiy, M. Stoschka // AIP Conference Proceedings. – AIP Publishing, 2016. – Vol. 1785, no. 1. – P. 030022-1–030022-4. – DOI: 10.1063/1.4967043
16. Multichannel diffusion vs TDS model on example of energy spectra of bound hydrogen in 34CrNiMo6 steel after a typical heat treatment / A. K. Belyaev, A. M. Polyanskiy, V. A. Polyanskiy, Ch. Sommitsch, Yu. A. Yakovlev // International Journal of Hydrogen Energy. – 2016. – Vol. 41, iss. 20. – P. 8627–8634. – DOI: 10.1016/j.ijhydene.2016.03.198
17. Estimating the plastic strain with the use of acoustic anisotropy / A. K. Belyaev, A. M. Lobachev, V. S. Modestov, A. V. Pivkov, V. A. Polyanskii, A. S. Semenov, D. A. Tret’yakov, L. V. Shtukin // Mechanics of Solids. – 2016. – Vol. 51, iss. 5. – P. 606–611. – DOI: 10.3103/S0025654416050149
18. 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
19. Pao Y. H. Theory of acoustoelasticity and acoustoplasticity // Solid mechanics research for quantitative non-destructive evaluation. – Netherlands : Springer, 1987. – P. 257–273.
20. 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
21. Evaluation of stress-strain state and cracking of weatherproof structural steel by acoustoelasticity / E. L. Alekseeva, A. A. Alhimenko, A. K. Belyaev, A. M. Lobachev, V. A. Polyanskiy, G. N. Rostovykh, D. A. Tretyakov, L. V. Shtukin, Y. A. Yakovlev // Construction of Unique Buildings and Structures. – 2016. – Vol. 12. – P. 33-44. – DOI: 10.18720/CUBS.51.3
22. NACE Standard TM0284-2003. Test Method. Evaluation of Pipeline and Pressure Vessel Steels for Resistance to Hydrogen-Induced Cracking.
23. Application of multichannel diffusion model to analysis of hydrogen measurements in solid / D. Yu. Andronov., D. G. Arseniev, A. M. Polyanskiy, V. A. Polyanskiy, Yu. A. Yakovlev // International Journal of Hydrogen Energy. – 2017. – Vol. 42, iss. 1. – P. 699–710. – DOI: 10.1016/j.ijhydene.2016.10.126
24. Polyanskiy A. M., Polyanskiy V. A., Yakovlev Yu. A. Experimental determination of parameters of multichannel hydrogen diffusion in solid probe// International Journal of Hydrogen Energy. – 2014. – Vol. 39, iss. 30. – P. 17381–17390. – DOI: 10.1016/j.ijhydene.2014.07.080
25. GOST 21132.1-98. Aluminium and aluminium alloys. Methods for determination of hydrogen in solid metal by vacuum hot extraction.
26. Indeitsev D., Semenov В. About a model of structural-phase transformations under hydrogen influence // Acta Mechanica. – 2008. – Vol. 195. – P. 295–304. – DOI: 10.1007/s00707-007-0568-z
27. The description of deformation and destruction of materials containing hydrogen by means of rheological model / A. K. Belyaev, N. R. Kudinova, V. A. Polyanskiy, Yu. A. Yakovlev // St. Petersburg Polytechnical University Journal. Physics and Mathematics. – 2015. – Vol. 3. – P. 57–65. – DOI: 10.5862/JPM.225.14
28. Gorsky W. S. Theorie des elastichen Nachwirkung in ungeordneten Mischkristallen (elastische Narchwirkung zweiter Art) // Phys. Zeitschrift der Sowjetunion. – 1935. – Vol. 8. – P. 457–471.

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