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On the speed of propagation of waves in a deformed elastic material

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Abstract

The secular equation is obtained for small amplitude waves propagated in an arbitrary direction in a body of incompressible isotropic elastic material subjected to a pure homogeneous deformation. Conditions are obtained that the wave speeds be real.

Zusammenfassung

Es wird die Säkulargleichung für Wellen kleiner Amplitude gewonnen, welche sich in beliebiger Richtung in einem inkompressiblen isotropen elastischen Material fortpflanzen, das einer reinen homogenen Deformation unterworfen ist. Es werden Bedingungen dafür aufgestellt, dass die Fortpflanzungsgeschwindigkeiten reell sind.

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References

  1. K. N. Sawyers andR. S. Rivlin, Int. J. Solids Structures9, 607 (1973).

    Google Scholar 

  2. M. Baker andJ. L. Ericksen, J. Washington Acad. Sciences44, 33 (1954).

    Google Scholar 

  3. K. N. Sawyers andR. S. Rivlin, Int. J. Solids Structures10, 483 (1974).

    Google Scholar 

  4. J. L. Ericksen, J. Rational Mech. Anal.2, 141 (1953).

    Google Scholar 

  5. D. V. Widder,Advanced Calculus, Prentice Hall, New York (1947).

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Authors and Affiliations

  1. Center for the Application of Mathematics, Lehigh University, Bethlehem, Pa., USA

    K. N. Sawyers & R. S. Rivlin

Authors
  1. K. N. Sawyers
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  2. R. S. Rivlin
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Sawyers, K.N., Rivlin, R.S. On the speed of propagation of waves in a deformed elastic material. Journal of Applied Mathematics and Physics (ZAMP) 28, 1045–1057 (1977). https://doi.org/10.1007/BF01601672

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  • DOI: https://doi.org/10.1007/BF01601672

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