Multidimensional Dynamic Problems in Plasticity

本研究涉及一个跨学科团队，研究材料塑性变形引起的多维，时间相关问题，特别是颗粒材料和多孔金属。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金属的流动进行详细的数值模拟，并通过适当的实验验证数值预测。从技术上讲，这些问题的进展将导致更安全、更可靠的工业筒仓，并提高金属成形过程的效率。科学地说，这些问题涉及几个有趣的数学问题；不适定偏微分方程，具有微观结构的介质均匀化，和大型科学计算。

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.