Abstract—

An analytical solution for high-pressure torsion of a cylindrical sample placed in a rigid gasket is obtained. The sample material is assumed to be isotropic ideally plastic. The dependence of the yield strength on pressure is taken into account. A non-associated plastic flow model is used, which includes the Tresca plastic potential and the Mohr–Coulomb yield condition. The solution predicts the non-uniform stress in the sample. The stress state corresponds to the Haar–von Karman hypothesis. The torque, the average normal stress at the end of the cylindrical sample, and the distribution of the mean stress along the radius of the sample are determined. The conditions under which there is no slippage on the contact surface are indicated.

中文翻译：

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具有非均匀应力状态的高压下的塑料扭转

摘要-

获得了放置在刚性垫圈中的圆柱形样品的高压扭转的解析解。假设样品材料是各向同性的理想塑料。考虑了屈服强度对压力的依赖性。使用非关联塑性流动模型，其中包括 Tresca 塑性势和 Mohr-Coulomb 屈服条件。该解决方案预测样品中的非均匀应力。应力状态对应于 Haar-von Karman 假设。确定了扭矩、圆柱形样品末端的平均法向应力以及平均应力沿样品半径的分布。指示了接触表面上没有滑动的条件。