During the rolling process of thick plate, the nonlinear specific plastic power that derived from the non-linear Mises yield criterion is difficult to be integrated, which has restricted the establishment of a rolling force model. To solve this problem, a new yield criterion is firstly established, and then used to derive a linear specific plastic power. Meanwhile, a kinematically admissible velocity field whose horizontal velocity component obeys the Logistic function is proposed to describe the metal flow of the deformed plate. On these bases, the rolling energy items including the internal deformation power of the deformed body, friction power on the contact surface, and shear power on the entry and exit sections are integrated successively, and the rolling force model is established. It is proved that the model can predict the rolling force well when compared with the actual data of multicomponent alloys. Besides, the formula for predicting the outlet thickness is ultimately given upon this derived model, and a good agreement is also found between the predicted values and the actual ones, since the absolute errors between them are within 0.50 mm.

在厚板轧制过程中，由非线性Mises屈服准则导出的非线性比塑性功率难以积分，限制了轧制力模型的建立。为了解决这个问题，首先建立了一个新的屈服准则，然后用它来推导线性比塑性功率。同时，提出了水平速度分量服从Logistic函数的运动学容许速度场来描述变形板的金属流动。在此基础上，依次对变形体的内部变形力、接触面摩擦力、进出段剪切力等滚动能量项进行积分，建立轧制力模型。与多元合金的实际数据进行对比，证明该模型能够很好地预测轧制力。此外，最终根据该导出模型给出了出口厚度的预测公式，预测值与实际值也吻合较好，两者的绝对误差均在0.50mm以内。