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Ultrasonic Guided Waves in Unidirectional Fiber-Reinforced Composite Plates

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Advances in Condition Monitoring and Structural Health Monitoring

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The article is concerned with the motion of Lamb-type guided waves in a unidirectional fiber-reinforced composite under ultrasonic sources. This kind of composite is much stiffer along its axis than across its transverse direction and therefore shows orthotropic material properties. The dispersion relation of free guided waves propagating in a unidirectional composite plate is derived that results in dispersion curves. Using reciprocity in elastodynamics, closed-form solutions of elastic wave motions subjected to time-harmonic loads in a unidirectional fiber-reinforced composite are in a simple manner computed. The obtained computations can be very useful for developing ultrasound-based methods for nondestructive evaluation of composite structures.

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References

  1. Giurgiutiu V (2015) Structural health monitoring of aerospace composites. Elsevier Science, Amsterdam

    Google Scholar 

  2. Rose JL (2014) Ultrasonic guided waves in solid media. Cambridge University Press, Cambridge

    Google Scholar 

  3. Rokhlin S, Nagy SRDCP, Chimenti D, Nagy P (2011) Physical ultrasonics of composites. Oxford University Press, Oxford

    Google Scholar 

  4. Datta SK (2009) Elastic waves in composite media and structures: with applications to ultrasonic nondestructive evaluation. CRC Press, Boca Raton

    Google Scholar 

  5. Nayfeh AH, Chimenti DE (1988) Propagation of guided waves in fluid-coupled plates of fiber-reinforced composite. J Acoust Soc Am 83:1736–1743

    Article  Google Scholar 

  6. Habeger CC, Mann RW, Baum GA (1979) Ultrasonic plate waves in paper. Ultrasonics 17:57–62

    Article  Google Scholar 

  7. Achenbach JD (1973) Wave propagation in elastic solids. North-Holland Publishing Company, Amsterdam

    Google Scholar 

  8. Achenbach JD (2003) Reciprocity in elastodynamics, Cambridge University Press, Cambridge

    Google Scholar 

  9. Phan H, Cho Y, Achenbach JD (2013) Application of the reciprocity theorem to scattering of surface waves by a cavity. Int J Solids Struct 50:4080–4088

    Article  Google Scholar 

  10. Phan H, Cho Y, Achenbach JD (2013) Validity of the reciprocity approach for determination of surface wave motion. Ultrasonics 53:665–671

    Article  Google Scholar 

  11. Balogun O, Achenbach JD (2013) Surface waves generated by a line load on a half-space with depth-dependent properties. Wave Motion 50:1063–1072

    Article  MathSciNet  Google Scholar 

  12. Phan H, Cho Y, Le QH, Pham CV, Nguyen HTL, Nguyen PT, Bui TQ (2019) A closed-form solution to propagation of guided waves in a layered half-space under a time-harmonic load: an application of elastodynamic reciprocity. Ultrasonics 96:40–47

    Article  Google Scholar 

  13. Phan H, Cho Y, Li W (2018) A theoretical approach to multiple scattering of surface waves by shallow cavities in a half-space. Ultrasonics 88:16–25

    Article  Google Scholar 

  14. Phan H, Cho Y, Pham CV, Nguyen H, Bui TQ (2019) A theoretical approach for guided waves in layered structures. AIP Conf Proc 2102:050011

    Article  Google Scholar 

  15. Phan H, Bui TQ, Nguyen HTL, Pham CV (2018) Computation of interface wave motions by reciprocity considerations. Wave Motion 79:10–22

    Article  MathSciNet  Google Scholar 

  16. Phan H, Cho Y, Achenbach JD (2014) Verification of surface wave solutions obtained by the reciprocity theorem. Ultrasonics 54:1891–1894

    Article  Google Scholar 

  17. Nayfeh AH (1995) Wave propagation in layered anisotropic media: with applications to composites. Elsevier, Amsterdam

    Google Scholar 

  18. Phan H (2019) A theoretical study of guided waves in an orthotropic plate. Unpublished results

    Google Scholar 

Download references

Acknowledgements

This research has been supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant reference 107.02-2019.21.

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Correspondence to Haidang Phan .

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Le, D., Lee, J., Cho, Y., Dao, D.K., Nguyen, T.G., Phan, H. (2021). Ultrasonic Guided Waves in Unidirectional Fiber-Reinforced Composite Plates. In: Gelman, L., Martin, N., Malcolm, A.A., (Edmund) Liew, C.K. (eds) Advances in Condition Monitoring and Structural Health Monitoring. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-9199-0_65

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  • DOI: https://doi.org/10.1007/978-981-15-9199-0_65

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-9198-3

  • Online ISBN: 978-981-15-9199-0

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