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- W2916748307 abstract "St. Venant's torsion problem for a prismatic bar is reduced to an integral equation of the Fredholm type with the help of Kupradze's method: i.e. for a given load distribution on the lateral surface of the cylinder (“actual body K+”) imbedded in an elastic medium (“basic body K0”), a distribution of screw dislocations has to be determined on the lateral surface in such a manner that the external region of the infinite medium (“complementary body K−”) will be free of tension. The unknown function is the tangential derivative of the warping function. Part 1 demonstrates the method for a smooth boundary. In part 2 the influence of the corners on the convergence of the numerical solution of the integral equation is investigated. Prismatic bars with multiconnected cross sections as well as cross sections with corners can be treated with this method." @default.
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- W2916748307 date "1976-01-01" @default.
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- W2916748307 title "Kupradze's functional equation for the torsion problem of prismatic bars — Part 1" @default.
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- W2916748307 doi "https://doi.org/10.1016/0045-7825(76)90004-9" @default.
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