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タイトル
和文: 
英文:Steady-state anti-plane shear wave scattering by a crack with friction 
著者
和文: 丸山泰蔵, 東平光生.  
英文: Taizo Maruyama, Terumi Touhei.  
言語 English 
掲載誌/書名
和文: 
英文:Journal of the Acoustical Society of America 
巻, 号, ページ Vol. 143    No. 6    Page 3545-3556
出版年月 2018年6月14日 
出版者
和文: 
英文:AIP Publishing 
会議名称
和文: 
英文: 
開催地
和文: 
英文: 
公式リンク http://www.scopus.com/inward/record.url?eid=2-s2.0-85048668411&partnerID=MN8TOARS
 
DOI https://doi.org/10.1121/1.5042163
アブストラクト The present article describes the steady-state numerical modeling of anti-plane shear wave scattering by a crack with frictional boundary conditions. The system is composed of an unbounded elastic solid that includes a closed crack under static compressive stress. A time-harmonic anti-plane shear wave is incident, and dynamic friction between the crack faces is induced as a nonlinear phenomenon. The anti-plane wave scattering can be described in a retarded potential integral equation by taking the nonlinearity into account. The present article introduces the steady-state expression as an asymptotic vibration of crack faces after a sufficient elapsed time. In order to solve the equations describing nonlinear steady-state vibration, a harmonic balance method is integrated into a boundary element method. Fourier coefficients of crack opening displacement distributed on the crack face are treated as unknown variables. The system of nonlinear equations is solved by means of a numerical continuation method. The present numerical results show almost complete agreement with those obtained by the conventional time-domain analysis after a sufficient elapsed time. Furthermore, the robustness and effectiveness of the proposed method are demonstrated numerically.

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