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Dual reciprocity boundary element method for flexural waves in thin plate with cutout

Abstract

The theoretical analysis and numerical calculation of scattering of elastic waves and dynamic stress concentrations in the thin plate with the cutout was studied using dual reciprocity boundary element method (DRM). Based on the work equivalent law, the dual reciprocity boundary integral equations for flexural waves in the thin plate were established using static fundamental solution. As illustration, numerical results for the dynamic stress concentration factors in the thin plate with a circular hole are given. The results obtained demonstrate good agreement with other reported results and show high accuracy.

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Author information

Correspondence to Suo-wen Gao.

Additional information

Contributed by MA Xing-rui

Project supported by the National Science Fund for Distinguished Young Scholars (No. 10025211) and the Post-Doctoral Science Foundation of China (No. 2003033046)

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Gao, S., Wang, Y., Zhang, Z. et al. Dual reciprocity boundary element method for flexural waves in thin plate with cutout. Appl. Math. Mech.-Engl. Ed. 26, 1564–1573 (2005). https://doi.org/10.1007/BF03246265

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Key words

  • thin plate
  • DRM
  • scattering of flexural wave
  • dynamic stress concentration

Chinese Library Classification

  • O347.4

Document code

  • A

2000 Mathematics Subject Classification

  • 74K20