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Zhu Xiankui, Liu Guangting. DISPLACEMENT DISCONTINUITY SUPER-SINGULAR INTEGRAL EQUATION METHODS TO SOLVE THREE-DIMENSIONAL MULTI- CRACK PROBLEMS[J]. Engineering Mechanics, 1997, 14(2): 82-89.
Citation: Zhu Xiankui, Liu Guangting. DISPLACEMENT DISCONTINUITY SUPER-SINGULAR INTEGRAL EQUATION METHODS TO SOLVE THREE-DIMENSIONAL MULTI- CRACK PROBLEMS[J]. Engineering Mechanics, 1997, 14(2): 82-89.
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DISPLACEMENT DISCONTINUITY SUPER-SINGULAR INTEGRAL EQUATION METHODS TO SOLVE THREE-DIMENSIONAL MULTI- CRACK PROBLEMS

  • Tsinghua University

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  • Received Date: November 30, 1992
  • Revised Date: December 31, 1899
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  • Making use of the Betti reciprocal work theorem, this paper derives the general fundamental solutions of displacement discontinuity in three dimensions, and then establishes the displacement discontinuity super-singular integral equations to solve three-dimensional multi-crack problems, in which the super-singular integral calculations are given by adopting the triangle element transformation and the finite-partial integral, and the angular point problems are solved by introducing inharmonical elements. Finally, stress intensity factors can be directly calculated by the discontinuity displacements of cracks.
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