Wave Propagation in Finitely Deformed Elastic Material

  • Zbigniew Wesolowski
Part of the International Centre for Mechanical Sciences book series (CISM, volume 227)


Introduce two fixed coordinate systems: the system {Xα} and the system {xi} The body in reference configuration BR is referred to the system {Xα}, and the body in actual configuration B is referred to the system {xi}. The material point is identified by its position in BR; by three numbers Xα, α = 1, 2, 3. Position of this point at time t is determined by three numbers xi, i = 1, 2, 3, which are its coordinates in the system {xi}.


Wave Propagation Velocity Wave Discontinuity Surface Monochromatic Wave Previous Chapter 
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Additional Literature

  1. 1.
    Bland D.R., Nonlinear dynamic elasticity, Waltham 1969.Google Scholar
  2. 2.
    Fedorov I., Theory of elastic waves in cristals, New York 1968.Google Scholar
  3. 3.
    Brillouin L., Wave propagation and group velocity, New York 1960.Google Scholar
  4. 4.
    Courant R., Hilbert D., Methoden der matematischen Physik II, Berlin 1968.Google Scholar
  5. 5.
    Wesolowski Z., Linear independence of amplitudes of reflected acceleration waves, Bull. Acad. Polon. Sci., Ser, Sci. Tech., 12, 23, 1975.Google Scholar

Copyright information

© Springer-Verlag Wien 1978

Authors and Affiliations

  • Zbigniew Wesolowski
    • 1
  1. 1.Institute of Fundamental Technological ResearchWarsawPoland

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