Multidimensional Dynamic Problems in Plasticity

塑性中的多维动态问题

• 批准号: 8804592
• 负责人: David Schaeffer
• 金额: $ 44.7万
• 依托单位: Duke University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-02-01 至 1993-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8804592&HistoricalAwards=false
• 关键词: Multidimensional; Dynamic; Problems; Plasticity

This research is concerned with an interdisciplinary team studying multidimensional, time dependent problems arising from plastic deformation of materials, especially granular materials and porous metals. The goals of the project are to develop a detailed numerical simulation of the flow of granular material in an industrial or agricultural silo and of the flow of metal in a forming process and to verify the numerical predications by appropriate experiments. Technologically, progress on these problems should lead to safer and more reliable industrial silos and to greater efficiency in metal forming processes. Scientifically, these problems involve several interesting mathematical issues; ill-posed partial differential equations, homogenization of media with microstructure, and large scientific computations.

这项研究涉及一个跨学科团队，研究由材料，特别是颗粒材料和多孔金属的塑性变形引起的多维、时间相关的问题。该项目的目标是对工业或农业筒仓中颗粒材料的流动和成形过程中的金属流动进行详细的数值模拟，并通过适当的实验来验证数值预测。从技术上讲，在这些问题上的进步应该会导致更安全和更可靠的工业筒仓，并提高金属成形过程的效率。从科学上讲，这些问题涉及几个有趣的数学问题：不适定的偏微分方程组、具有微结构的介质的均匀化和大型科学计算。