采用共旋应变的三维热弹塑性有限变形有限元法

本文采用线性化共旋应变张量和增率型虚功原理，建立了有限变形热力耦合弹塑性有限元法。在该方法中，材料的流动应力取为应变总量、应变速率和温度的函数，推导了包含这种函数关系的本构矩阵。另外在温度场分析中，考虑了塑性功和摩擦功转化的热量。文后给出的算例表明该方法可以很好地模拟热加工过程。

A thermomechanical coupled 3 dimensional elasto plastic FEM for finite deformation by using a LCR strain concept

The paper establishes a thermomechanical coupled elasto plastic finite element method for finite deformations, by employing a linearized co rotational strain tensor and incremental virtual work principle. In the method, the flow stress of material is taken as a function of strain accumulation, strain rate and temperature. Consequently, a constitutive matrix in which the above relationship is incorporated is derived. In addition, the heat produced by plastic deformation and friction is added into the temperature analysis. The numerical examples show that the method can properly simulate the process of hot workings.