Journal of Mathematical Sciences

, Volume 167, Issue 2, pp 162–172 | Cite as

Application of the boundary element method for analysis of the antiplane shear of anisotropic bodies containing thin-walled structures

  • H. T. Sulym
  • Ia. M. Pasternak

We have ascertained the limits of reasonable application of the classical boundary element method for the solution of the antiplane problem of the theory of elasticity in the study of bodies with thin-walled elements of structure and geometry. We have proposed an approach for the regularization of singular and quasisingular integrals, which appear inevitably in analyzing thin structures. We give also numerical examples demonstrating the reliability and efficiency of the proposed approach.


Boundary Element Method Singular Integral Stress Concentration Factor Rigid Inclusion Elliptic Hole 
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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • H. T. Sulym
    • 1
    • 2
  • Ia. M. Pasternak
    • 3
  1. 1.Franko Lviv National UniversityLvivUkraine
  2. 2.Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine
  3. 3.Luts’k National Technical UniversityLuts’kUkraine

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