Analysis of edge defects in an elastic plate using SH-waves

Brahim Mohammedi; Nahil A. Sobh; Diab Abueidda; Belgacem Bouzida Aissa

doi:10.1007/s12206-018-1209-2

Analysis of edge defects in an elastic plate using SH-waves

Brahim Mohammedi, Nahil A. Sobh, Diab Abueidda, Belgacem Bouzida Aissa

National Center for Supercomputing Applications (NCSA)

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

Abstract

The interaction of guided SH-waves with the beveled free end of a semi-infinite plate is analytically and numerically investigated. The material of the plate is assumed to be elastic, homogenous, and isotropic. The plate is modeled as a combination of a semi-infinite region and bounded wedged region separated by a common boundary. The analytical solution of the vertical free end case for the two regions is derived and used in verifying the numerical implementation. In this study, the SH0 and the SH1 first two incident modes are individually applied to analyze the corresponding reflected modes from the free end. Specifically, the elastic energy carried by the reflected modes is reported for a wide range of beveled angles and incident frequencies.

Original language	English (US)
Pages (from-to)	87-94
Number of pages	8
Journal	Journal of Mechanical Science and Technology
Volume	33
Issue number	1
DOIs	https://doi.org/10.1007/s12206-018-1209-2
State	Published - Jan 1 2019

Keywords

Bevel end
Edge defects
Elastic plate
SH waves
Wave function

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering

Online availability

10.1007/s12206-018-1209-2

Library availability

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title = "Analysis of edge defects in an elastic plate using SH-waves",

abstract = "The interaction of guided SH-waves with the beveled free end of a semi-infinite plate is analytically and numerically investigated. The material of the plate is assumed to be elastic, homogenous, and isotropic. The plate is modeled as a combination of a semi-infinite region and bounded wedged region separated by a common boundary. The analytical solution of the vertical free end case for the two regions is derived and used in verifying the numerical implementation. In this study, the SH0 and the SH1 first two incident modes are individually applied to analyze the corresponding reflected modes from the free end. Specifically, the elastic energy carried by the reflected modes is reported for a wide range of beveled angles and incident frequencies.",

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AU - Sobh, Nahil A.

AU - Abueidda, Diab

AU - Aissa, Belgacem Bouzida

N1 - Funding Information: The first author would like to acknowledge the support of the Algerian ministry of higher education and scientific research to conduct this research during his stay at the University of Illinois at Urbana-Champaign, USA. Publisher Copyright: © 2019, The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The interaction of guided SH-waves with the beveled free end of a semi-infinite plate is analytically and numerically investigated. The material of the plate is assumed to be elastic, homogenous, and isotropic. The plate is modeled as a combination of a semi-infinite region and bounded wedged region separated by a common boundary. The analytical solution of the vertical free end case for the two regions is derived and used in verifying the numerical implementation. In this study, the SH0 and the SH1 first two incident modes are individually applied to analyze the corresponding reflected modes from the free end. Specifically, the elastic energy carried by the reflected modes is reported for a wide range of beveled angles and incident frequencies.

AB - The interaction of guided SH-waves with the beveled free end of a semi-infinite plate is analytically and numerically investigated. The material of the plate is assumed to be elastic, homogenous, and isotropic. The plate is modeled as a combination of a semi-infinite region and bounded wedged region separated by a common boundary. The analytical solution of the vertical free end case for the two regions is derived and used in verifying the numerical implementation. In this study, the SH0 and the SH1 first two incident modes are individually applied to analyze the corresponding reflected modes from the free end. Specifically, the elastic energy carried by the reflected modes is reported for a wide range of beveled angles and incident frequencies.

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KW - Edge defects

KW - Elastic plate

KW - SH waves

KW - Wave function

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Analysis of edge defects in an elastic plate using SH-waves

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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