## Abstract

The finite difference technique is employed to study plane strain scattering of pulses from finite anomalies embedded in an isotropic, homogeneous, elastic half-space. In particular, the scatterer is taken to by a cylindrical cavity. A new transmission boundary condition is developed which transmits energy conveyed by Rayleigh surface waves. This condition is successfully employed in reducing the domain of numerical calculations from a semi-infinite to a finite region. A test of the numerical scheme is given by considering a time harmonic pulse of infinite extent. The numerical technique is marched out in time until transients have radiated away and a steady state solution has been reached which is found to be in good agreement with results produced by a series type solution. Time domain solutions are given in terms of time histories of displacements at the half-space free surface; and by sequences of snapshots, taken of the entire numerical domain, which illustrate the scattering dynamics.

Original language | English (US) |
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Pages (from-to) | 410-431 |

Number of pages | 22 |

Journal | Journal of Computational Physics |

Volume | 65 |

Issue number | 2 |

DOIs | |

State | Published - Aug 1986 |

### Funding

The work of two of the authors (C. L. Scandrett and J. D. Achenbach) was carried out under Contract DE-AC02-83ER13036.AO02 with the Department of Energy, Office of Basic Energy Sciences, Engineering Research Program. The work of G. A. Kriegsmann was supported by NSF Grant MCS-8300578.

## ASJC Scopus subject areas

- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics