在圆柱体坐标系下,根据质点的流动规律将杯状件径向-反向复合挤压变形体划分成7个特征区,建立每个特征区的动可容速度场。基于上限理论,考虑各塑性变形区的变形功耗、所有速度间断面上的剪切功耗与全部摩擦面上的摩擦功耗,建立挤压成形力计算公式。通过挤压成形实验,验证挤压成形力计算公式的准确性。 Under cylindrical coordinate system, according to the law of particle flow, the cup radial-reverse composite extrusion deformation body is divided into seven characteristic zones, and the dynamic allowable velocity field of each characteristic zone is established. Based on the upper bound theory, the deformation power loss of all the plastic deformation zones, the shear power consumption at all the velocity discontinuities and the frictional power consumption of all the friction surfaces are considered, and the formula for calculating the extrusion force is established. Through the extrusion forming experiment, verify the accuracy of the formula of extrusion forming force.