Mathematical Sciences: The Overall Elastic Properties of Transversely Isotropic Composites

8907658 利普顿 该项目将应用最新进展， 复合材料的数学分析，以获得 横观各向同性等效弹性性质 复合材料 我们的目标是获得新的界限， 横向各向同性复合材料的弹性模量 两种各向同性的弹性材料按规定的比例。 的 攻击的总体计划是双重的：所有有限秩的集合 将表征表现出横向各向同性的层压材料。 然后，使用层压板是 复合材料中的极值。 复合材料的行为是一个基本的 技术重要性。 复合材料已广泛应用于 结构优化设计坚固而轻便 用于航空航天的零部件。

8907658 Lipton This project will apply recent advances in the mathematical analysis of composite materials to obtain the effective elastic properties of transversely isotropic composite materials. The goal is to obtain new bounds that correlate the six elastic moduli for transverse isotropic composites made from two isotropic elastic materials in prescribed proportions. The overall plan of attack is twofold: the set of all finite rank laminates exhibiting transverse isotropy will be characterized. Then bounds will be derived using the fact that laminates are extremal in the set of composites. The behavior of composite materials is of fundamental technological importance. Composites have been widely used in structural optimization to design strong but lightweight components for use in aerospace and aviation.