Studies in Nonlinear Solid Mechanics

这项研究将完成对非线性固体中的空穴形核和与金属延性断裂相关的基本问题的具体分析，以及对非线性弹性中的圣维南原理和聚合物和复合材料力学试验中的相关基本问题的研究。空洞形核是指金属和合金中微观夹杂物中空洞的形成、长大和合并，从而导致金属和合金的延性断裂，长期以来一直是材料科学家关注的问题。关于扩大圣维南原理调查范围的研究将有助于解决与材料不稳定有关的几个关键问题。

This research will complete specific analysis for cavity nucleation in nonlinear solids and related fundamental issues associated with ductile fracture of metals and investigations on Saint-Venant's principle in nonlinear elasticity and related fundamental issues in mechanical testing of polymers and composite materials. The research on cavity nucleation involving the formation and subsequent growth and coalescence of voids from microscopic inclusions which leads to ductile fracture in metals and alloys, has long been of concern to material scientists. The studies on the extension of investigations on Saint Venant's principle will help to resolve several critical issues related to material instability.