【摘要】 针对刚塑性可压缩材料模型热轧过程 ,利用塑性变形功率泛函梯度映射的强单调和连续性以及在常用的Kobayashi摩擦条件下表面摩擦功率泛函的凸性和可微性 ,总能耗率泛函是严格凸 ,强制且可微的泛函· 并借助于非线性分析的方法 ,得到了总能耗率泛函的逼近可解性·更多还原

【Abstract】 For hot rolling process with the rigid plastic slightly compressible material model,continuity of the gradient mapping for the plastic deformation power rate functional and the convexity, differentiability of frictional power rate functional of frictional surface on Kobayashi frictional condition are applied. The total power rate functional is strictly convex,differentiable. The coercive functional is set strongly monotonicity. Approxmation solvability of the total power rate functional is obtained by means of nonlinear functional analysis methods.更多还原