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

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Abstract

A sinusoidal wave of infinitesimal amplitude is propagated in an isotropic compressible elastic material subjected to a static pure homogeneous deformation. Necessary and sufficient conditions are obtained for the speed of propagation to be real in the case when the direction of propagation is parallel to a principal plane of the static deformation.

Zusammenfassung

Eine Sinuswelle mit infinitesimaler Amplitude pflanzt sich in einem isotropen kompressiblen elastischen Material fort, das einer rein homogenen statischen Deformation unterworfen ist. Es werden notwendige und hinreichende Bedingungen dafür erhalten, dass die Fortpflanzungsgeschwindigkeit bei Fortpflanzung parallel zu einer Hauptebene der statischen Deformation reell ist.

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References

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Authors and Affiliations

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

    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 compressible elastic material. Journal of Applied Mathematics and Physics (ZAMP) 29, 245–251 (1978). https://doi.org/10.1007/BF01601519

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  • DOI: https://doi.org/10.1007/BF01601519

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