## Abstract

The reciprocity theorem of elastodynamics is used in this paper to determine the surface waves that are radiated from a time-harmonic line load applied at the surface of a solid body, whose elastic moduli and mass density depend on the distance from the surface. In a high-frequency approximation, the surface wave velocity and expressions for the displacement and stresses of free surface waves are employed in the reciprocity theorem. The general expressions for the surface wave radiated by the oscillating line load, together with a virtual free surface wave, when employed in the reciprocity theorem, yield relatively simple expressions for the amplitude factor of the radiated surface wave. Results show the amplitude factor as a function of the wavenumber.

Original language | English (US) |
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Pages (from-to) | 1063-1072 |

Number of pages | 10 |

Journal | Wave Motion |

Volume | 50 |

Issue number | 7 |

DOIs | |

State | Published - Nov 2013 |

### Funding

The work reported here was supported by the National Science Foundation under Grant No. CMMI-1130924 .

## Keywords

- Inhomogeneous elastic half-space
- Surface acoustic waves
- WKB approximation

## ASJC Scopus subject areas

- Modeling and Simulation
- General Physics and Astronomy
- Computational Mathematics
- Applied Mathematics