Mathematical Sciences: Nonlinear Continuum Mechanics

这项研究将调查材料的不稳定性， 应变局部化，重点是机械性能， 可以冷拉的材料。 这项工作将试图 扩展到粘弹性材料，最近发展的理论， 用于弹性材料的缩颈成形和冷拔。 问题 包括本构关系的表述 对于表现出与速率无关的磁滞现象的铁磁材料 和液晶的数学问题。

This research will investigate material instability and strain localization, with emphasis on the mechanical behavior of materials that can be cold drawn. The work will attempt to extend to viscoelastic materials a recently developed theory of neck formation and cold drawing for elastic materials. Problems to be considered include formulation of constitutive relations for ferromagnetic materials showing rate-independent hysteresis and mathematical problems for liquid crystals.