刚塑性可压缩材料模型热轧过程的逼近问题

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·     

Approximation solvability of hot rolling problem with Coulumb friction

For hot rolling process, the property of gradient mapping of the plastic deformation power rate func- tional is discussed with a rigid-plastic slightly compressible material model. Using the existence and monotonicity of sub-differential of surface friction power rate functional as well as the nonlinear functional analysis methods, the approximation solvability of hot rolling problem with simplified Coulumb friction is obtained.