Asymptotic Methods for Deformation Processing

9322714 Johnson这项研究工作的目的是利用渐近方法开发变形处理的解析解。这样的模型将提供一个丰富的环境，在其中探索处理的替代方案。这项工作将与工业界合作完成。两个领域的变形加工将建模，热轧，特别是可逆错过，和薄板挤压。有限元分析的结果将用于验证解析解。热轧薄板机的工作主要是为了评估透厚和热效应。研究分为轧制表面热边界层和温度相关本构行为的热效应和基于广义平面应变的厚板坯三维轧制模型两个方面。在挤压的工作将是一个非标准的应用渐近方法，旨在开发一个模具设计工具的薄壁挤压。本研究结果的应用将包括热可逆轧机和热连续轧机。缺乏良好的变形处理模型是优化和控制这些过程的限制因素。

9322714 Johnson The objective of this research effort is to develop analytical solutions, by means of asymptotic methods, for deformation processing. Such models will provide a rich environment in which to explore processing alternatives. The work will be done in collaboration with industry. Two areas of deformation processing will be modeled, hot mill rolling, particularly reversing miss, and thin section extrusion. Results from finite element analyses will be used to validate the analytical solutions. The work on hot sheet rolling mills is primarily aimed at evaluating through- thickness and thermal effects. The study is divided into two areas, thermal effects resulting from roll surface thermal boundary layers and temperature dependent constitutive behavior, and a thick slab, three-dimensional rolling model based on generalized plane strain. The work on extrusion will be a non-standard application of asymptotic methods aimed at developing a die design tool for thin section extrusion. The application of results obtained from this research will include both hot reversing mills and hot continuous mills. The lack of good models for deformation processing has been a limiting factor in the optimization and control of these processes.