Scattering of SH waves from a partially debonded rigid elliptic cylinder |
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| Authors: | Yue-Sheng Wang Zhi-Yu Qiu Gui-Lan Yu |
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| Institution: | a Institute of Engineering Mechanics, Northern Jiaotong University, Beijing 100044, P R. China;b Shanghai Mechanical & Electrical Industry Real Estate Co., Shanghai 200070, P.R. China;c School of Civil Engineering, Northern Jiaotong University, Beijing 100044, P.R. China |
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| Abstract: | Scattering of SH waves by an embedded rigid elliptic cylinder of finite length, which is partially debonded from elastic soil is studied. The debonding regions are modeled as multiple elliptic arc-shaped interface cracks with non-contacting faces. The scattered wave field is expressed as a Mathieu function expansion with unknown coefficients. The mixed boundary conditions of the problem lead to a set of singular integral equations of the first type in terms of the dislocation density functions of the cracks. A quadrature method is used to solve these integral equations numerically. The results for dynamic stress intensity factors, far-field pattern of the displacement and scattering cross sections are presented. We particularly discuss the effects of the ratio of the short radius to long radius of the cylinder. |
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| Keywords: | Wave scattering Interface debonding Interface crack Singular integral equation Dynamic stress intensity factor |
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