Plastic Anisotropy Influence on the Equistrength Rotating Disk Profile

Abstract

The paper presents a solution to determine the profile of a rotating hollow equal-strength disk under the plane-stress conditions. It assumes that uniform pressure is applied to the disk outer and inner radii, and the disk material is plastically anisotropic. Elastic deformations are related to the Hooke's law stresses. Transition to the plastic state is determined by Hill's quadratic plasticity condition. The general solution is analytical, except for a need to compute the ordinary integral numerically. Of the three loading parameters (disk angular velocity, pressures on the outer and inner radii), only the two are independent for the equal strength disk. Qualitative analysis of the obtained solution is performed. The paper determines ranges in variation of the sought auxiliary variable, violation of its boundaries could not provide a solution. Restrictions on the boundary conditions are established. In addition to the general solution, a special option is provided being completely analytical. The solution process verified acceptability of an assumption on the plane-stress state. Profiles of the equal-strength rotating disks are constructed for the four anisotropic materials using the experimentally determined anisotropy coefficients, and for an isotropic material satisfying the von Mises plasticity condition

The work was partially supported by the Russian Science Foundation (project no. 23-21-00335)

Please cite this article in English as:

Lyamina E.A., Novozhilova O.V. Plastic anisotropy influence on the equistrength rotating disk profile. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2025, no. 2 (153), pp. 104--117 (in Russ.). EDN: PEIOOH

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