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七十年代以来,用有限单元法研究金属塑性变形的方法有了很大发展,这种方法对那些目前只能用试验方法和工程近似方法解决的问题,提供了完全用计算机方法解决的途径。本文采用刚粘塑性有限单元法,求解薄板轧制时金属塑性流动问题。这一方法忽略金属的弹性性质。因此可以不考虑金属的弹性行为,并且不用考虑金属从弹性状态到塑性状态的过渡,这使求解过程大大简化。对于金属塑性加工问题,这样的近似是允许的。这一方法采用了粘塑性材料的本构关系,所以它不仅能够分析理想塑性材料和变形强化材料,而且可以分析包括变形强化性质的变形速度强化材料,这可以使塑性变形力学分析更接近真实情况。
Since the 1970s, the method of finite element method for studying plastic deformation of metals has been greatly developed. This method provides a completely computerized solution to the problems that currently can only be solved by experimental methods and engineering approximations. In this paper, the rigid viscoplastic finite element method is used to solve the problem of metal plastic flow in sheet metal rolling. This method ignores the elastic nature of the metal. Therefore, the elastic behavior of the metal can be neglected, and the transition of the metal from the elastic state to the plastic state is not considered, which simplifies the solution process. This approximation is allowed for metal-plastic working problems. This method uses the constitutive relation of the viscoplastic material so that it can not only analyze the ideal plastic material and the deformation strengthening material but also analyze the deformation speed strengthening material including the deformation strengthening property so as to make the plastic deformation mechanics analysis closer to the real situation .