Application of the boundary element method for analysis of the antiplane shear of anisotropic bodies containing thin-walled structures |
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Authors: | H. T. Sulym Ia. M. Pasternak |
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Affiliation: | 1.Franko Lviv National University,Lviv,Ukraine;2.Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,Ukrainian National Academy of Sciences,Lviv,Ukraine;3.Luts’k National Technical University,Luts’k,Ukraine |
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Abstract: | 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. |
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