Acta Mechanica Solida Sinica

, Volume 21, Issue 2, pp 177–188 | Cite as

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

  • Li Zhou
  • Wanchun Yuan


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.

Key words

reflection and transmission crack power transport structural health monitoring 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  • Li Zhou
    • 1
  • Wanchun Yuan
    • 1
  1. 1.College of Aerospace EngineeringNanjing University of Aeronautics & AstronauticsNanjingChina

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