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IUTAM Symposium on Recent Advances of Acoustic Waves in Solids pp 3–18Cite as

Existence of Exceptional Body Waves and Subsonic Surface Waves in Monoclinic and Orthotropic Materials

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Abstract

Explicit conditions are given for the existence of an exceptional body wave in monoclinic materials with the symmetry plane at x 1 = 0, x 2 = 0 or x 3 = 0 and in orthotropic materials with the symmetry planes coinciding with the coordinate planes. The non-existence of an exceptional body wave ensures the existence of a subsonic surface wave. If an exceptional body wave exists, explicit conditions are given for the existence of a subsonic surface wave in monoclinic and orthotropic materials except when tr L(\(\hat{\upsilon}\)) needs to be computed.

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Authors and Affiliations

  1. Division of Mechanics and Computation, Stanford University, Durand 262, Stanford, CA, 94305, USA

    T. C. T. Ting

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  1. T. C. T. Ting
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Correspondence to T. C. T. Ting .

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Editors and Affiliations

  1. Institute of Applied Mechanics, Dept. Mechanical Engineering, National Taiwan University, Roosevelt Road 1, Taipei, 10617, Taiwan R.O.C.

    Tsung-Tsong Wu

  2. Dept. Mechanical Engineering, National Taiwan University, Roosevelt Rd. 1, Taipei, 106, Taiwan R.O.C.

    Chien-Ching Ma

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Ting, T.C.T. (2010). Existence of Exceptional Body Waves and Subsonic Surface Waves in Monoclinic and Orthotropic Materials. In: Wu, TT., Ma, CC. (eds) IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9893-1_1

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  • DOI: https://doi.org/10.1007/978-90-481-9893-1_1

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9892-4

  • Online ISBN: 978-90-481-9893-1

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