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Power Reflection and Transmission in Beam Structures Containing a Semi-Infinite Crack

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Abstract

Wave reflection and transmission in a beam containing a semi-infinite crack are studied analytically based on Timoshenko beam theory. Two kinds of crack surface conditions: non-contact (open) and fully contact (closed) cracks, are considered respectively for an isotropic beam. The analytical solution of reflection and transmission coefficients for a semi-infinite crack is obtained. The power reflection and transmission ratios depend on both the frequency and the position of the crack. Numerical results show the conservation of power transport. The transmitted energy among various wave modes is also investigated. A finite element method is used to verify the validity of the analytical results.

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Authors and Affiliations

  1. College of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing, 210016, China

    Li Zhou & Wanchun Yuan

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  1. Li Zhou
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  2. Wanchun Yuan
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Additional information

Project supported by the National Natural Science Foundation of China (Nos. 50478037 and 10572058) and the Research Foundation for the Doctoral Program of Higher Education (No. 20050287016).

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Zhou, L., Yuan, W. Power Reflection and Transmission in Beam Structures Containing a Semi-Infinite Crack. Acta Mech. Solida Sin. 21, 177–188 (2008). https://doi.org/10.1007/s10338-008-0821-6

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  • DOI: https://doi.org/10.1007/s10338-008-0821-6

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