Papers

Peer-reviewed
6 1, 2018

Steady-state anti-plane shear wave scattering by a crack with friction

Journal of the Acoustical Society of America
  • Taizo Maruyama
  • ,
  • Terumi Touhei

Volume
143
Number
6
First page
3545
Last page
3556
Language
Publishing type
Research paper (scientific journal)
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.

Link information
DOI
https://doi.org/10.1121/1.5042163
PubMed
https://www.ncbi.nlm.nih.gov/pubmed/29960443
Scopus
https://www.scopus.com/record/display.uri?eid=2-s2.0-85048668411&origin=inward
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85048668411&origin=inward
Scopus Citedby
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