On the Elastoplastic Problem of Cantilever Subject to Combined Bending and Twisting

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概要

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• In this paper, on analytical method for solving the elastoplastic problem of solid bars subject to combined bending and twisting is represented, using the total strain theory of plasticity. Considering that the shearing strains are obtained by combining shearing strains due to twisting new parameters in stress field. Provided that Ramberg-Osgood's law is employed can be linearized respectively, by adopting the new parameters in stress field. Provided that Ramberg-Osgood's law is employed as the nonlinear stress-strain relation, the twisting and bending functions can be described in the form of a hypergeometric series. The components of strain and the corresponding coordinates are also represented in terms of these new parameters. The components of stress, bending moment and twisting moment can be evaluated by the numerical calculation. In a special case where the secant moduli are equal to moduli of elasticity, the results obtained by this method agree with those by the theory of elasticity.

• 一般社団法人日本機械学会の論文

著者

• Ishikawa Hiromasa

  Faculty Of Engineering Hokkaido Univeristy

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