Waves in Wood: Axisymmetric Guided Waves along Boreholes

10.30009/CJM.200303.0002

P. A. Martin；J. R. Berger

Elastic waves ； Cylindrical orthotropy

The Chinese Journal of Mechanics

19卷1期（2003 / 03 / 01）

105 - 111

英文

Blot showed that elastic waves could be guided by a cylindrical hole in a homogeneous isotropic elastic solid. This problem is generalized to materials with cylindrical orthotropy, this being a plausible model for waves in wood. For time-harmonic motions, the problem is reduced to some coupled ordinary differential equations. Methods for solving these equations are discussed. These include the method of Frobenius (power-series expansions) and the use of asymptotic expansions (valid far from the cylindrical hole).

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