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Unified characteristics line theory of spacial axisymmetric plastic problem

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Abstract

The unified strength theory proposed by Yu in 1991 is extended to spacial axisymmetric problem. A unified spacial axismymmetric characteristics line theory based on the unified strength theory is proposed. This theory takes account of different effects of intermediate principal stress on yielding or failure and the SD effect (tensile-compression strength difference) of materials. Various conventional axisymmetric characteristics line theories, which are based on the Haar-von Karman plastic condition, Szczepinski hypothesis, Tresca criterion, von Mises criterion and Mohr-Coulomb theory, are special cases of the new theory. Besides, a series of new spacial axisymmetric characteristics fields for different materials can be introduced. It forms a unified spacial axisymmetric characteristics theory. Two examples are calculated with the new theory, the results are compared with those obtained by the finite element program UEPP and those based on the Mohr-Coulomb strength theory. It is shown that the new theory is reliable and feasible. The economic benefit can be obtained from the engineering application of the new theory.

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Correspondence to Yu Maohong.

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Maohong, Y., Jianchun, L. & Yongqiang, Z. Unified characteristics line theory of spacial axisymmetric plastic problem. Sci. China Ser. E-Technol. Sci. 44, 207–215 (2001). https://doi.org/10.1007/BF03014632

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Keywords

  • plastic axisymmetric problem
  • unified strength theory
  • unified characteristics line field theory
  • Haar-von Karman condition