S0 Lamb Wave Scattering from a Cylindrical Inhomogeneity in a Transversely Isotropic Composite Plate

An analytical model using the Poisson theory is proposed to predict the SO Lamb wave scattering from a cylindrical inhomogeneity in a transversely isotropic composite plate. Due to the anisotropic elastic properties of the plate, the suitability of the model is first examined by the dispersion curve...

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Bibliographic Details
Published inChinese physics letters Vol. 31; no. 8; pp. 87 - 91
Main Author 张海燕 姚杰聪 王瑞 马世伟
Format Journal Article
LanguageEnglish
Published 01.08.2014
Subjects
Anisotropy
Composite structures
Dispersion (wave)
Inhomogeneity
Lamb waves
Lamb波
Mathematical models
Plates (structural members)
Scattering
不均匀性
圆柱形
复合板
横向各向同性
横观各向同性
波函数展开方法
远场散射
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ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/31/8/084301

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Summary:An analytical model using the Poisson theory is proposed to predict the SO Lamb wave scattering from a cylindrical inhomogeneity in a transversely isotropic composite plate. Due to the anisotropic elastic properties of the plate, the suitability of the model is first examined by the dispersion curve of an SO wave by using approximate Poisson theory compared to the exact Lamb solution. It is found that the Poisson theory can accurately describe the behavior of the SO wave at low frequency when the incident SO wave is parallel or perpendicular to the fiber direction of the transversely isotropic composite plate. On this basis, making use of the wave function expansion technique and coupling conditions at the inhomogeneity defect boundary, the far field scattered patterns of various inhomogeneity sizes and properties are then explored. The present results reveal that the scattering patterns are strongly dependent on the size and stiffness of the cylindrical inhomogeneity.
Bibliography:ZHANG Hai-Yan, YAO Jio-Cong, WANG Rui, MA Shi-Wei（1 School of Communication and Information Engineering, Key Laboratory of Specialty Fiber Optics and Optical Access Networks, Shanghai University, Shanghai 200444;2 Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072）
11-1959/O4
An analytical model using the Poisson theory is proposed to predict the SO Lamb wave scattering from a cylindrical inhomogeneity in a transversely isotropic composite plate. Due to the anisotropic elastic properties of the plate, the suitability of the model is first examined by the dispersion curve of an SO wave by using approximate Poisson theory compared to the exact Lamb solution. It is found that the Poisson theory can accurately describe the behavior of the SO wave at low frequency when the incident SO wave is parallel or perpendicular to the fiber direction of the transversely isotropic composite plate. On this basis, making use of the wave function expansion technique and coupling conditions at the inhomogeneity defect boundary, the far field scattered patterns of various inhomogeneity sizes and properties are then explored. The present results reveal that the scattering patterns are strongly dependent on the size and stiffness of the cylindrical inhomogeneity.
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ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/8/084301