The Macroscopic Response of Materials

材料的宏观响应

• 批准号: 9803748
• 负责人: Graeme Milton
• 金额: $ 13.6万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-07-01 至 2002-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9803748&HistoricalAwards=false
• 关键词: Macroscopic; Response; Materials

This research will investigate the macroscopic response of both homogeneous and heterogeneous materials. For homogeneous materials it will obtain sharp tests as to whether actual measurements of the electrical or viscoelastic response over two different frequency intervals are compatible. For heterogeneous materials it will bound the dielectric and viscoelastic response of materials both in the frequency domain and in the time domain. In addition the principal investigator will determine what macroscopic stress strain combinations can or cannot occur in both linear and non-linear composites and will identify microstructures which have extremal stress-strain combinations. These are expected to be important in applications where one wants to channel stress from one area to another. The research will shed further light on exact microstructure independent relations amongst the effective moduli of composites. It will also obtain dramatic accelerations of the convergence rate of certain iterative numerical schemes which have been developed to compute the properties of both linear and non-linear composites. A better understanding of the macroscopic response of materials is of central technological importance. This importance stretches across the board, from understanding the macroscopic response of engineered materials (of critical importance to the defence, automative, and aerospace industries), to understanding the macroscopic response of polycrystalline and porous rocks (relevant to earthquake prediction and to the oil industry), to understanding the macroscopic response of sea ice (important to climate modelling), to understanding the macroscopic response of biological materials (such as tissues, bones, shells and tendons). The research funded with thisaward will enhance our understanding in ways that will facilitate the development of new materials, provide procedures for testing the reliability of experimental measurements, and accelerate numerical computations.

本研究将探讨均质与非均质材料的宏观响应。对于均质材料，将获得关于在两个不同频率间隔上的电响应或粘弹性响应的实际测量是否兼容的尖锐测试。 对于非均匀材料，它将在频域和时域中约束材料的介电和粘弹性响应。此外，首席研究员将确定线性和非线性复合材料中可以或不可以发生哪些宏观应力-应变组合，并将识别具有极端应力-应变组合的微观结构。 这些在希望将应力从一个区域引导到另一个区域的应用中是重要的。 该研究将进一步阐明复合材料有效模量之间与微观结构无关的精确关系。 它也将获得显着的加速收敛速度的某些迭代数值方案，已开发的线性和非线性复合材料的性能计算。 更好地理解材料的宏观响应具有重要的技术意义。从了解工程材料的宏观响应，（对国防、汽车和航空航天工业至关重要），了解多晶和多孔岩石的宏观响应（与地震预测和石油工业有关），了解海冰的宏观反应（对气候建模很重要），了解生物材料（如组织、骨骼、贝壳和肌腱）的宏观反应。 该奖项资助的研究将以促进新材料开发的方式增强我们的理解，提供测试实验测量可靠性的程序，并加速数值计算。