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Semi-Analytical Modeling of Non-stationary Fluid-Structure Interaction

  • Serguei IakovlevEmail author
Conference paper
  • 21 Downloads
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 92)

Abstract

This chapter outlines the semi-analytical methodology that was developed over the past decade and a half to model transient fluid-structure interaction phenomena for thin-walled structures submerged in and/or filled with fluid. The theoretical framework of the methodology based on the use of the classical apparatus of mathematical physics is exposed first. Then, a demonstration of some of the capabilities of the methodology is presented as it is applied to an industrially relevant fluid-structure interaction problem. Specifically, the response of a submerged cylindrical shell to a double-front shock wave is considered, with the emphasis on the existence of certain resonance-like phenomena which result in a considerable increase of the maximum stress induced in the structure by such a loading. The outcomes of the modeling using both the 2D and 3D versions of the methodology are presented, and the differences between the results produced by these two approaches, a lower-fidelity one and a higher-fidelity one, are highlighted.

Notes

Acknowledgements

The research program summarized here has been continually supported financially by the Natural Sciences and Engineering Research Council (NSERC) of Canada and by the Killam Trusts at Dalhousie University, Canada.

References

  1. 1.
    Batra, R. C., & Hassan, N. M. (2007). Response of fiber reinforced composites to underwater explosive loads. Composites Part B, 38, 448–468.CrossRefGoogle Scholar
  2. 2.
    Brett, J. M., & Yiannakopolous, G. (2008). A study of explosive effects in close proximity to a submerged cylinder. International Journal of Impact Engineering, 35, 206–225.CrossRefGoogle Scholar
  3. 3.
    Fan, Z., Liu, Y., & Xu, P. (2016). Blast resistance of metallic sandwich panels subjected to proximity underwater explosion. International Journal of Impact Engineering, 93, 128–135.CrossRefGoogle Scholar
  4. 4.
    Geers, T. L. (1969). Excitation of an elastic cylindrical shell by a transient acoustic wave. Journal of Applied Mechanics, 36, 459–469.ADSzbMATHCrossRefGoogle Scholar
  5. 5.
    Guo, G., Ji, X., Wen, Y., & Cui, X. (2017). A new shock factor of SWATH catamaran subjected to underwater explosion. Ocean Engineering, 130, 620–628.CrossRefGoogle Scholar
  6. 6.
    Huang, H., & Wang, Y. F. (1970). Transient interaction of spherical acoustic waves and a cylindrical elastic shell. The Journal of the Acoustical Society of America, 48, 228–235.ADSzbMATHCrossRefGoogle Scholar
  7. 7.
    Huang, H. (1979). Transient response of two fluid-coupled cylindrical elastic shells to an incident pressure pulse. Journal of Applied Mechanics, 46, 513–518.ADSzbMATHCrossRefGoogle Scholar
  8. 8.
    Huang, H., & Mair, H. (1996). Neoclassical solution of transient interaction of plane acoustic waves with a spherical elastic shell. Shock and Vibration, 3, 85–98.CrossRefGoogle Scholar
  9. 9.
    Hsu, C. Y., Liang, C. C., Nguyen, A. T., & Teng, T. L. (2014). A numerical study on the underwater explosion bubble pulsation and the collapse process. Ocean Engineering, 81, 29–38.CrossRefGoogle Scholar
  10. 10.
    Iakovlev, S. (2004). Influence of a rigid co-axial core on the stress-strain state of a submerged fluid-filled circular cylindrical shell subjected to a shock wave. Journal of Fluids and Structures, 19, 957–984.ADSCrossRefGoogle Scholar
  11. 11.
    Iakovlev, S. (2006). External shock loading on a submerged fluid-filled cylindrical shell. Journal of Fluids and Structures, 22, 997–1028.ADSCrossRefGoogle Scholar
  12. 12.
    Iakovlev, S. (2007). Submerged fluid-filled cylindrical shell subjected to a shock wave: Fluid-structure interaction effects. Journal of Fluids and Structures, 23, 117–142.ADSCrossRefGoogle Scholar
  13. 13.
    Iakovlev, S. (2007). Inverse Laplace transforms encountered in hyperbolic problems of non-stationary fluid-structure interaction. Canadian Mathematical Bulletin, 50, 547–566.MathSciNetzbMATHCrossRefGoogle Scholar
  14. 14.
    Iakovlev, S. (2008). Interaction between a submerged evacuated cylindrical shell and a shock wave. Part I: Diffraction-radiation analysis. Journal of Fluids and Structures, 24, 1077–1097.ADSCrossRefGoogle Scholar
  15. 15.
    Iakovlev, S. (2008). Interaction between a submerged evacuated cylindrical shell and a shock wave. Part II: Numerical aspects of the solution. Journal of Fluids and Structures, 24, 1098–1119.ADSCrossRefGoogle Scholar
  16. 16.
    Iakovlev, S. (2009). Interaction between an external shock wave and a cylindrical shell filled with and submerged into different fluids. Journal of Sound and Vibration, 322, 401–437.ADSCrossRefGoogle Scholar
  17. 17.
    Iakovlev, S., Gaudet, J., & MacDonald, B. (2010). Hydrodynamic fields induced by the shock response of a fluid-filled submerged cylindrical shell containing a rigid co-axial core. Journal of Sound and Vibration, 329, 3359–3381.ADSCrossRefGoogle Scholar
  18. 18.
    Iakovlev, S., Dooley, G., Williston, K., & Gaudet, J. (2011). Evolution of the reflection and focusing patterns and stress states in two-fluid cylindrical shell systems subjected to an external shock wave. Journal of Sound and Vibration, 330, 6254–6276.ADSCrossRefGoogle Scholar
  19. 19.
    Iakovlev, S., Santos, H. A. F. A., Willison, K., Murray, R., & Mitchell, M. (2013). Non-stationary radiation by a cylindrical shell: Numerical modeling using the Reissner-Mindlin theory. Journal of Fluids and Structures, 36, 50–69.ADSCrossRefGoogle Scholar
  20. 20.
    Iakovlev, S., Seaton, C. T., & Sigrist, J. F. (2013). Submerged circular cylindrical shell subjected to two consecutive shock waves: Resonance-like phenomena. Journal of Fluids and Structures, 42, 70–87.ADSCrossRefGoogle Scholar
  21. 21.
    Iakovlev, S., Santos, H. A. F. A., Lefieux, A., Schulman, B., & Williston, K. (2014). Transient radiation by a submerged fluid-filled cylindrical shell. Journal of Fluids and Structures, 50, 79–104.ADSCrossRefGoogle Scholar
  22. 22.
    Iakovlev, S. (2014). On the possibility of shock-induced cavitation in submerged cylindrical shell systems. Journal of Fluids and Structures, 50, 437–460.ADSCrossRefGoogle Scholar
  23. 23.
    Iakovlev, S. (2014). Resonance-like phenomena in a submerged cylindrical shell subjected to two consecutive shock waves: The effect of the inner fluid. Journal of Fluids and Structures, 50, 153–170.ADSCrossRefGoogle Scholar
  24. 24.
    Iakovlev, S., Mitchell, M., Lefieux, A., & Murray, R. (2014). Shock response of a two-fluid cylindrical shell system containing a rigid core. Journal of Computational Fluid, 96, 215–225.MathSciNetzbMATHCrossRefGoogle Scholar
  25. 25.
    Iakovlev, S., Pyke, D., & Santos, H. A. F. A. (2016). Semi-analytical technique for isolating the pseudo-Rayleigh component of the field induced by a transiently responding submerged cylindrical shell. Journal of Fluids and Structures, 65, 21–29.ADSCrossRefGoogle Scholar
  26. 26.
    Iakovlev, S., Lefieux, A., Huntemann, B., Santos, H. A. F. A., & Pyke, D. (2017). On the observability of the pseudo-Rayleigh waves on submerged cylindrical shells. Journal of Fluids and Structures, 69, 108–120.ADSCrossRefGoogle Scholar
  27. 27.
    Iakovlev, S. (2018). Structural analysis of a submerged cylindrical shell subjected to two consecutive spherical shock waves. Journal of Fluids and Structures, 76, 506–526.ADSCrossRefGoogle Scholar
  28. 28.
    Kim, J. H., & Shin, H. C. (2008). Application of the ALE technique for underwater explosion analysis of a submarine liquefied oxygen tank. Ocean Engineering, 35, 812–822.CrossRefGoogle Scholar
  29. 29.
    Kim, C. H., & Shin, Y. (2013). Numerical simulation of surface shield effects to waterblast wave. Ocean Engineering, 60, 99–114.CrossRefGoogle Scholar
  30. 30.
    Li, J., & Rong, J. L. (2012). Experimental and numerical investigation of the dynamic response of structures subjected to underwater explosion. European Journal of Mechanics-B/Fluids, 32, 59–69.ADSzbMATHCrossRefGoogle Scholar
  31. 31.
    Liu, G., Liu, J., Wang, J., Pan, G., & Mao, H. (2017). A numerical method for double-plated structure completely filled with liquid subjected to underwater explosion. Marine Structures, 53, 164–180.CrossRefGoogle Scholar
  32. 32.
    Mair, H. U. (1999). Benchmarks for submerged structure response to underwater explosion. Shock and Vibration, 6, 169–181.CrossRefGoogle Scholar
  33. 33.
    Ming, F. R., Zhang, A. M., Xue, Y. Z., & Wang, S. P. (2016). Damage characteristics of ship structures subjected to shockwaves of underwater contact explosions. Ocean Engineering, 117, 359–382.CrossRefGoogle Scholar
  34. 34.
    Nian, W., Subramaniam, K. V. L., & Andreopoulos, Y. (2012). Dynamic compaction of foam under blast loading considering fluid-structure interaction effects. International Journal of Impact Engineering, 50, 29–39.CrossRefGoogle Scholar
  35. 35.
    Panahi, B., Ghavanloo, E., & Daneshmand, F. (2011). Transient response of a submerged cylindrical foam core sandwich panel subjected to shock response. Materials & Design, 32, 2611–2620.CrossRefGoogle Scholar
  36. 36.
    Schiffer, A., & Tagarielli, V. L. (2014). The one-dimensional response of a water-filled double hull to underwater blast: Experiments and Simulations. International Journal of Impact Engineering, 63, 177–187.CrossRefGoogle Scholar
  37. 37.
    Sprague, M., & Geers, T. L. (1999). Response of empty and fluid-filled, submerged spherical shells to plane and spherical, step-exponential acoustic waves. Shock and Vibration, 6, 147–157.CrossRefGoogle Scholar
  38. 38.
    Ugural, A. C. (1981). Stresses in plates and shells. New York: McGraw-Hill Book Company.Google Scholar
  39. 39.
    Wang, Z., Liang, X., Fallah, A. S., Liu, G., Louca, L. A., & Wang, L. (2013). A novel efficient method to evaluate the dynamic response of laminated plates subjected to underwater shock. Journal of Sound and Vibration, 332, 5618–5634.ADSCrossRefGoogle Scholar
  40. 40.
    Wang, H., Zhu, X., Cheng, Y. S., & Liu, J. (2014). Experimental and numerical investigation of ship structure subjected to close-in underwater shock wave and following gas bubble pulse. Marine Structures, 39, 90–117.CrossRefGoogle Scholar
  41. 41.
    Xiao, F., Chen, Y., Wang, Y., Hua, H., & Zhu, D. (2014). Experimental research on the dynamic response of floating structures with coatings subjected to underwater explosion. Shock and Vibration, 2014, 705256.CrossRefGoogle Scholar
  42. 42.
    Xie, W. F., Young, Y. L., & Liu, T. G. (2008). Multiphase modeling of dynamic fluid-structure interaction during close-in explosion. International Journal for Numerical Methods in Engineering, 74, 1019–1043.ADSMathSciNetzbMATHCrossRefGoogle Scholar
  43. 43.
    Yin, C., Jin, Z., Chen, Y., & Hua, H. (2016). Shock mitigation effects of cellular cladding on submersible hull subjected to deep underwater explosion. Ocean Engineering, 117, 221–237.CrossRefGoogle Scholar
  44. 44.
    Zhang, N., Zong, Z., & Zhang, W. (2014). Dynamic response of a surface ship structure subjected to an underwater explosion bubble. Marine Structures, 35, 26–44.CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Engineering Mathematics and InternetworkingDalhousie UniversityHalifaxCanada

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