### Abstract

The reflection and transmission of a plane time-harmonic surface wave which is obliquely incident on the edge of a quarter space is investigated theoretically, numerically, and experimentally. The theoretical formulation of the problem, which takes advantage of the translational invariance along the edge of the quarter space, is reduced to a system of singular integral equations along axes normal to the edge, for the defracted displacement components on the faces of the quarter space axes normal to the edge. The truncation of these equations leads to the definition of reflection and transmission coefficients, R and T. The equations are solved for R, T, and the diffracted displacements by the use of the boundary element method. A self-calibrated experimental technique is proposed which deploys four surface wave transducers, and which removes the effects of variable coupling between the transducers and the faces of the quarter space as the positions of the transducers are varied. The technique is particularly suited for the measurement of |R/T| as a function of the angle of incidence. Excellent agreement is observed between numerically and experimentally obtained values.

Original language | English |
---|---|

Pages (from-to) | 1-10 |

Number of pages | 10 |

Journal | American Society of Mechanical Engineers (Paper) |

Publication status | Published - 1992 Dec 1 |

Event | 1992 ASME Summer Mechanics and Materials Meeting - Tempe, AZ, USA Duration: 1992 Apr 28 → 1992 May 1 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mechanical Engineering

### Cite this

*American Society of Mechanical Engineers (Paper)*, 1-10.

}

*American Society of Mechanical Engineers (Paper)*, pp. 1-10.

**Reflection and transmission of obliquely incident surface waves by an edge of a quarter space. Theory and experiment.** / Li, Z. L.; Achenbach, J. D.; Komsky, I.; Lee, Y. C.

Research output: Contribution to journal › Conference article

TY - JOUR

T1 - Reflection and transmission of obliquely incident surface waves by an edge of a quarter space. Theory and experiment

AU - Li, Z. L.

AU - Achenbach, J. D.

AU - Komsky, I.

AU - Lee, Y. C.

PY - 1992/12/1

Y1 - 1992/12/1

N2 - The reflection and transmission of a plane time-harmonic surface wave which is obliquely incident on the edge of a quarter space is investigated theoretically, numerically, and experimentally. The theoretical formulation of the problem, which takes advantage of the translational invariance along the edge of the quarter space, is reduced to a system of singular integral equations along axes normal to the edge, for the defracted displacement components on the faces of the quarter space axes normal to the edge. The truncation of these equations leads to the definition of reflection and transmission coefficients, R and T. The equations are solved for R, T, and the diffracted displacements by the use of the boundary element method. A self-calibrated experimental technique is proposed which deploys four surface wave transducers, and which removes the effects of variable coupling between the transducers and the faces of the quarter space as the positions of the transducers are varied. The technique is particularly suited for the measurement of |R/T| as a function of the angle of incidence. Excellent agreement is observed between numerically and experimentally obtained values.

AB - The reflection and transmission of a plane time-harmonic surface wave which is obliquely incident on the edge of a quarter space is investigated theoretically, numerically, and experimentally. The theoretical formulation of the problem, which takes advantage of the translational invariance along the edge of the quarter space, is reduced to a system of singular integral equations along axes normal to the edge, for the defracted displacement components on the faces of the quarter space axes normal to the edge. The truncation of these equations leads to the definition of reflection and transmission coefficients, R and T. The equations are solved for R, T, and the diffracted displacements by the use of the boundary element method. A self-calibrated experimental technique is proposed which deploys four surface wave transducers, and which removes the effects of variable coupling between the transducers and the faces of the quarter space as the positions of the transducers are varied. The technique is particularly suited for the measurement of |R/T| as a function of the angle of incidence. Excellent agreement is observed between numerically and experimentally obtained values.

UR - http://www.scopus.com/inward/record.url?scp=0027045184&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027045184&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0027045184

SP - 1

EP - 10

JO - American Society of Mechanical Engineers (Paper)

JF - American Society of Mechanical Engineers (Paper)

SN - 0402-1215

ER -