Mathematical Sciences: The Overall Elastic Properties of Transversely Isotropic Composites

数学科学：横向各向同性复合材料的整体弹性性质

• 批准号: 8907658
• 负责人: Robert Lipton
• 金额: $ 2.85万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-07-01 至 1991-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8907658&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Overall; Elastic; Properties

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.

本项目将应用复合材料数学分析的最新进展，获得横向各向同性复合材料的有效弹性特性。目标是获得由两种各向同性弹性材料按规定比例制成的横向各向同性复合材料的六个弹性模量相关的新边界。总体攻击计划是双重的：所有具有横向各向同性的有限秩层压板的集合将被表征。然后利用层压板在复合材料集合中的极值这一事实推导出边界。复合材料的性能具有根本性的技术意义。复合材料已广泛应用于结构优化，以设计坚固而轻便的部件用于航空航天。