Presenter Information

Yozo Mikata, Old Dominion University

Location

La Jolla, CA

Start Date

1-1-1993 12:00 PM

Description

In this paper, the investigation is carried out for the scattering of an anti-plane shear (SH) wave by an infinite array of randomly spaced coplanar cracks. This study was motivated by the desire to better understand the detection and characterization of a flaw plane, i.e., a plane of microcracks, in a more realistic situation. The first thing we can do to model a flaw plane is to model it as a periodic array of cracks [1–5]. In reality, however, an array of cracks is never periodic but rather random. Thus in a previous paper [6], we have treated scattering by an infinite array of randomly oriented cracks. That problem as well as the present problem belong to multiple scattering problems [7–10]. There exists a vast literature on this topic. To our knowledge, however, there is not much literature on the type of problems treated in this paper, where reflection and transmission are investigated for random scatterers located in a line. In addition to the scattering by an array of randomly spaced cracks, the wave propagation of an SH wave in a randomly cracked medium will be also discussed.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

12A

Chapter

Chapter 1: Development of Standard Techniques

Section

Elastic Wave Scattering

Pages

107-114

DOI

10.1007/978-1-4615-2848-7_13

Language

en

File Format

application/pdf

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Jan 1st, 12:00 PM

Scattering by an infinite array of randomly spaced coplanar cracks

La Jolla, CA

In this paper, the investigation is carried out for the scattering of an anti-plane shear (SH) wave by an infinite array of randomly spaced coplanar cracks. This study was motivated by the desire to better understand the detection and characterization of a flaw plane, i.e., a plane of microcracks, in a more realistic situation. The first thing we can do to model a flaw plane is to model it as a periodic array of cracks [1–5]. In reality, however, an array of cracks is never periodic but rather random. Thus in a previous paper [6], we have treated scattering by an infinite array of randomly oriented cracks. That problem as well as the present problem belong to multiple scattering problems [7–10]. There exists a vast literature on this topic. To our knowledge, however, there is not much literature on the type of problems treated in this paper, where reflection and transmission are investigated for random scatterers located in a line. In addition to the scattering by an array of randomly spaced cracks, the wave propagation of an SH wave in a randomly cracked medium will be also discussed.