金属成形数值模拟算法及软件开发

以实现拥有部分算法特色的金属成形定制化CAE （computer-aided engineering）软件为目的，在自主开发的OmtDesk平台基础上，嵌入金属成形数值计算程序.首先，以双势理论为基础，运用Uzawa算法求解金属成形中的接触摩擦问题；其次，采用建立在更新拉格朗日框架上的返回映射算法，求解金属成形中材料非线性问题；最后，通过压缩回弹和挤压成形两个数值算例，验证了自主开发的金属成形定制化CAE软件FEM/Form的准确性与通用性，并将求解结果与ANSYS对比.在压缩回弹算例中，采用ANSYS得到10–3 mm量级的穿透量，相同算例采用FEM/Form则能将穿透量控制在10–7 mm量级,说明采用双势接触模块能更加精确地控制金属成形数值模拟中的穿透量，使金属成形过程更加准确. 

Numerical Algorithm and Software Development for Metal Forming

To develop a customized computer-aided engineering (CAE) software with specialized features for metal forming, based on the self-developed OmtDesk platform, a numerical algorithm for mental forming calculation is proposed. On the basis of the bipotential theory, the Uzawa algorithm was applied to addressing the frictional contact. The return-mapping algorithm was then applied in the framework of the updated Lagrangian to analyze the non-linearity of metal materials. Furthermore, two numerical tests in terms of compression springback and extrusion forming were conducted for verifying the accuracy and feasibility of the developed CAE software with the aid of FEM and Form simulation software. The results are compared with those by ANSYS. In the case of the compression springback test, the penetration value calculated by ANSYS software has a magnitude of 10–3 mm, whereas those by FEM and Form software show a penetration magnitude of 10–7 mm. This demonstrates that the proposed bipotential contact module can effectively control the penetration value in the simulation of metal forming, thereby improving the precision of the metal forming process.