Geodesic
Stress calculation by the boundary element method using analytical integration
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 79-84

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We obtain the formulas for analytical integration of dominant function components derivatives with respect to the arbitrary straight-line segment and arbitrary segment of circle. These formulas allow high-precision calculating of the stresses inside the deformable area. The effectiveness of using the formulas is shown on the example of solving the homogeneous tension problem for plate with circular hole. 
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     author = {V. P. Fedotov and L. F. Spevak and V. B. Trukhin},
     title = {Stress calculation by the boundary element method using analytical integration},
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     pages = {79--84},
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     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a10/}
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V. P. Fedotov; L. F. Spevak; V. B. Trukhin. Stress calculation by the boundary element method using analytical integration. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 79-84. http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a10/