2018年6月1日
Steady-state anti-plane shear wave scattering by a crack with friction
Journal of the Acoustical Society of America
- ,
- 巻
- 143
- 号
- 6
- 開始ページ
- 3545
- 終了ページ
- 3556
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1121/1.5042163
© 2018 Acoustical Society of America. 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.
- リンク情報
- ID情報
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- DOI : 10.1121/1.5042163
- ISSN : 0001-4966
- PubMed ID : 29960443
- SCOPUS ID : 85048668411