Scattering of a pulse by a cavity in an elastic half-space

C. L. Scandrett; G. A. Kriegsmann; J. D. Achenbach

doi:10.1016/0021-9991(86)90215-9

Scattering of a pulse by a cavity in an elastic half-space

C. L. Scandrett^*, G. A. Kriegsmann, J. D. Achenbach

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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)
Pages (from-to)	410-431
Number of pages	22
Journal	Journal of Computational Physics
Volume	65
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(86)90215-9
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

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10.1016/0021-9991(86)90215-9

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title = "Scattering of a pulse by a cavity in an elastic half-space",

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.",

author = "Scandrett, {C. L.} and Kriegsmann, {G. A.} and Achenbach, {J. D.}",

note = "Funding Information: 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.",

year = "1986",

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doi = "10.1016/0021-9991(86)90215-9",

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AU - Achenbach, J. D.

N1 - Funding Information: 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.

PY - 1986/8

Y1 - 1986/8

N2 - 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.

AB - 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.

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Scattering of a pulse by a cavity in an elastic half-space

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