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Computer Aided Modeling of Ultrasonic Surface  Waves Propagation in Materials with Gradient of Properties

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 681))

Abstract

The present work deals with modeling of generating, propagation and receiving of the Rayleigh impulse in material with gradient of properties. The spectrum of an ultrasonic signal, having passed through a material, is determined by the spectrum of the exciting electrical signal, frequency characteristics of the transmitting and receiving transducers and by material characteristics. The dispersion of the Rayleigh wave is obtained as a result of the simulation done by spectral decomposition of impulse and processing components considering wave penetration and wave velocity changes caused by gradient of mechanical characteristics. Simulated ultrasonic waveforms allow evaluation of the time delay effect induced by stress gradient. Application of ultrasonic wave for stress analyses is possible on the basis of spectral analysis and phase comparisons of ultrasonic impulse.

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References

  1. Bach, F., Askegaard, V.: General stress-velocity expressions in acoustoelasticity. Exp. Mech. 19, 69–75 (1979)

    Article  Google Scholar 

  2. Nondestructive testing, Handbook, Acoustic tensometry, vol. 4, Moscow, Publ. House “Spectr” (2007)

    Google Scholar 

  3. Guz, A.N., Makhort, F.G.: The physical fundamentals of the ultrasonic nondestructive stress analysis of solids. Int. Appl. Mech. 36(9), 1119–1149 (2000)

    Article  MATH  Google Scholar 

  4. Chernoochenko, A.A., Makhort, F.G., Gushcha, O.I.: Use of the theory of acoustoelasticity of Rayleigh waves to determine stresses in solids. Int. Appl. Mech. 27(1), 38–42 (1991)

    MATH  Google Scholar 

  5. Hirao, M., Fukuoka, H., Hori, K.: Acoustoelastic effect of Rayleigh surface wave in isotropic material. ASME J. Appl. Mech. 48, 119–124 (1981)

    Article  MATH  Google Scholar 

  6. Makhort, F., Gushcha, O., Chernoochenko, A.: Surface waves in the determination of near-surface stresses of structural elements. Int. Appl. Mech. 36(8), 1047–1051 (2000)

    Article  MATH  Google Scholar 

  7. Bobrenko, V.M., Vangeli, M.S., Kutsenko, A.I.: Acoustic Tensometry. Shtinitsa, Kishinev (1991)

    Google Scholar 

  8. Si-Chaib, M.O., Menad, S., Djelouah, H., Bocquet, M.: An ultrasound method for the acoustoelastic evaluation of simple bending stresses. NDT E Int. 34, 521–529 (2001)

    Article  Google Scholar 

  9. Hearn, E.J.: Mechanics of Materials. Elsevier (1997). ISBN: 978-0-7506-3265-2

    Google Scholar 

  10. Padmavathi, D.A.: Potential energy curves & material properties. Mater. Sci. Appl. 2, 97–104 (2011)

    Google Scholar 

  11. Destrade, M., Murphy, J., Rashid, B.: Differences in tension and compression in the nonlinearly elastic bending of beams. Int. J. Struct. Changes Solids Mech. Appl. 1(1), 73–81 (2009)

    Google Scholar 

  12. Viktorov I.A.: Physic basis application of ultrasonic Rayleigh and Lamb waves in technique, Mir, Science (1966)

    Google Scholar 

  13. Sharp, R. (ed.): Methods of Nondestructive Testing. Moskow, Mir (1972)

    Google Scholar 

  14. Kutzarov, S.: Passive LC and RC Diagram. Sofia, Technika (1980)

    Google Scholar 

  15. Transducers, U. (ed.): Kikuchi. Mir, Moskow (1972)

    Google Scholar 

  16. ASTM E 1065 A1, Measurement of frequency response

    Google Scholar 

  17. Merkulova, V.M., Tokarev, V.M.: Calculation of wide-band Piesotransducers used for ultrasonic and immersion defectoscopy. Defectoskopiya 4 (1972)

    Google Scholar 

  18. Ivanova, Y., Partalin T.: Investigation of stress-state in rolled sheets by ultrasonic techniques. Ultragarsas (Ultrasound) 66(1) (2011)

    Google Scholar 

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Acknowledgements

The research is partly supported by the project N 147/2015 with Sofia University “St. Kliment Ohridski”.

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Correspondence to Yonka Ivanova .

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Partalin, T., Ivanova, Y. (2017). Computer Aided Modeling of Ultrasonic Surface  Waves Propagation in Materials with Gradient of Properties. In: Georgiev, K., Todorov, M., Georgiev, I. (eds) Advanced Computing in Industrial Mathematics. Studies in Computational Intelligence, vol 681. Springer, Cham. https://doi.org/10.1007/978-3-319-49544-6_12

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  • DOI: https://doi.org/10.1007/978-3-319-49544-6_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49543-9

  • Online ISBN: 978-3-319-49544-6

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