An Improved Boundary Element Analysis for the Bending of a Thin Plate with a Crack

  • O. Mahrenholtz
  • Pin Lu
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 36)


In this paper, a modified fundamental solution (MFS) for a thin plate with a cutout is presented in terms of MUSKHELISHVILI'S complex variable method. As the MFS satisfy traction free conditions on the cutout surface, integrals along the cutout boundary can be avoided when they are used as the kernels of boundary integral equations; only outer boundary discretization is necessary in a numerical solution procedure. Numerical examples for the bending of a plate with a crack show that higher numerical accuracy of the results could be attained with relatively fewer discrete elements by using the MFS in boundary element analysis.


Stress Intensity Factor Boundary Element Fundamental Solution Thin Plate Boundary Element Method 
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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • O. Mahrenholtz
    • 1
  • Pin Lu
    • 2
  1. 1.Technische Universität Hamburg-HarburgHamburgGermany
  2. 2.University of Science and Technology of ChinaHefei, AnhuiP.R. China

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