精确模拟金属塑性成形过程，是实现金属塑性成形技术进步和产品质量提高的关键，而精度差和效率低仍然是目前所使用数值模拟方法存在的主要问题。本项目以金属塑性成形过程为研究对象，以高温下金属的变形规律和机械性能之间的复杂数学-物理关系为切入点，研究热力耦合弹塑性接触多极边界元法的基础理论和工程应用。本项目的主要研究内容包括：弹塑性接触问题快速多极边界元法的基本理论、误差分析以及提高计算效率的研究；热传导问题多极边界元法的基本理论、误差分析以及金属塑性成形过程金属与工具的热传导模型的建立；以金属变形抗力模型和变形热与摩擦热为耦合条件，采用准耦合迭代法，建立三维热力耦合弹塑性接触问题多极边界元法；完成对板带热轧成形过程的分析并在实验室的四辊实验轧机上进行轧制实验，以验证程序和方法的正确性。本项目将为金属塑性成形过程的模拟提供新的高精度方法，以适应现代塑性加工的需要。

Accurate simulation of metal plastic forming process is the key to realize the advancement of plastic forming technology and the improvement of product quality. Low accuracy and efficiency are still the main problems of numerical methods used currently. In the project, taking the metal plastic forming process as the research object, and the complex mathematical and physical relationship between the deformation and mechanical properties of the metal in high temperature as the breakthrough point, the basic theories and engineering application of thermal-mechanical coupling elastoplastic fast multipole Boundary Element Method will be researched. The main research contents of the project is as follows: research on the basic theory, error analysis and computational efficiency of the elastoplastic fast multipole Boundary Element Method; research on the basic theory and error analysis of thermal conduction fast multipole Boundary Element Method and the establishment of metal thermal conduction model of metal plastic forming process; then, taking the metal deformation resistance model and deformation heat and friction heat as the coupling condition, the thermal-mechanical coupling elastoplastic fast multipole Boundary Element Method is established with the quasi coupling iterative method, with which the analysis of strip hot rolling forming process will be finished; the rolling experiments is taken with the four high rolling mill in the laboratory to verify the correctness of the program and methods. This project will provide a new high precision method for the metal plastic forming process simulation to adapt the need of modern plastic process.