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Oblique incidence of waves on a boundary

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Summary

A two-step procedure is developed which allows the emergent modes to be determined when a discontinuity wave strikes obliquely on a boundary. Although the procedure is straightforward, oblique incidence gives rise to a few mathematical problems, which are discussed in detail.

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References

  1. Truesdell, C.: General and exact theory of waves in finite elastic strain. Arch. Rational Mech. Anal.8, 263–296 (1961).

    Google Scholar 

  2. Lighthill, M. J.: Phil. Trans. Roy. Soc.A 252, 397–430 (1960).

    Google Scholar 

  3. D'iakov, S. P.: The interaction of waves with small perturbations. Sov. Phys. JEPT6, 729–747 (1958).

    Google Scholar 

  4. Swan, G. W., Fowles, G. R.: Shock wave stability. Phys. Fluids18, 28–35 (1975).

    Google Scholar 

  5. Brun, L.: Ondes de choc finies dans les solides élastiques, in: Mechanical waves in solids (Mandel, J., Brun, L., eds.). (CISM, Vol. 222.) Wien-New York: Springer 1975.

    Google Scholar 

  6. Jeffrey, A.: Quasilinear hyperbolic systems and waves. London: Pitman 1976.

    Google Scholar 

  7. Morro, A.: Oblique interaction of waves with shocks. Acta Mech.38, 241–248 (1981).

    Google Scholar 

  8. McKenzie, J. F., Westphal, K. O.: Interaction of linear waves with oblique shock waves. Phys. Fluids11, 2350–2362 (1968).

    Google Scholar 

  9. Achenbach, J. D.: Wave propagation in elastic solids. Amsterdam: North-Holland 1975.

    Google Scholar 

  10. Lax, P. D.: Hyperbolic systems of conservation laws II. Comm. Pure Appl. Math.10, 537–566 (1957).

    Google Scholar 

  11. Boillat, G., Ruggeri, T.: Reflection and transmission of discontinuity waves through a shock wave. General theory including also the case of characteristic shocks. Proc. Roy. Soc. Edinburgh83A, 17–24 (1979).

    Google Scholar 

  12. Boillat, G.: La propagation des ondes. Paris: Gauthier-Villars 1965.

    Google Scholar 

  13. Bampi, F., Zordan, C.: Dependence of the wave-front speeds on the propagation direction. To appear.

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Authors and Affiliations

  1. Department of Biophysic and Electronic Engineering, University of Genova, Viale F. Causa, 13, I-16145, Genova, Italy

    F. Bampi &  C. Zordan

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  1. F. Bampi
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  2. C. Zordan
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Bampi, F., Zordan, C. Oblique incidence of waves on a boundary. Acta Mechanica 71, 137–143 (1988). https://doi.org/10.1007/BF01173942

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  • DOI: https://doi.org/10.1007/BF01173942

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