A Multiscale Heterogeneous Foundation for Computer-Aided Design

该奖项的研究目标是验证以下假设：通过使用一组合适的基本函数和基于网格和多分辨率功能分析的缩放操作（放大、缩小），可以实现零件几何、材料组成和物理特性的多尺度建模，并实现计算机辅助设计（CAD）、计算材料设计和并行零件材料设计过程。该研究将产生零件几何形状、材料组成及其物理特性分布（例如刚度和强度）的建模方法，以促进工程设计、分析和制造。研究方法包括研究基于小波和表面小波的双重表示的多尺度几何建模方法，以及导航多尺度的细分方法。为了结合材料成分和机械性能，计算材料设计的方法将被用于将材料科学的结构-性能关系整合到几何模型中。交付成果包括几何和材料的多尺度建模框架，多尺度材料模型存储库，以及使用物理实验、工程学生教育和增强研究和教育基础设施的软件进行演示和验证。如果成功的话，这项研究将为社会带来巨大的好处，它使复杂设备设计的工程设计能够提高产品的性能，更好地利用材料，并在制造过程中消耗更少的资源。新的多尺度建模框架使零件和系统设计与材料设计和制造活动相集成。通过与工业和政府合作伙伴的合作，可以在使用新材料设计复杂部件时测试这种集成的好处。从复杂的多材料热塑性部件到光伏、高性能合金航空航天部件，以及用于微处理器的改进散热器，这些应用都得益于这些进步。参与的工程专业研究生和本科生以及代表性不足的学生将通过课堂教学和参与研究而受益。政府会设立一个网站，报告研究结果，并提供网页版本的建议电脑辅助设计技术。

The research objective of this award is to validate the hypotheses that multiscale modeling of part geometry, material composition, and physical properties is enabled through use of a suitable set of basis functions and zooming operations (zoom-in, zoom-out) that are based on grids and multi-resolution functional analysis, and enables Computer-Aided Design (CAD), computational materials design, and concurrent part-material design processes. The research will result in methods for modeling of a part's geometry, its material composition, and its physical property distributions (e.g., stiffness and strength) in a manner that facilitates engineering design, analysis, and manufacturing. The research approach involves investigating multiscale geometric modeling methods, based on a dual-representation of wavelets and surfacelets, as well as subdivision methods for navigating multiple scales. To incorporate material composition and mechanical properties, methods from computational materials design will be utilized to integrate structure-property relationships from materials science into the geometric models. Deliverables include a multiscale modeling framework for geometry and materials, a repository of multiscale material models, and demonstration and validation using physical experiments, engineering student education, and software that enhances the research and education infrastructure.If successful, this research could provide a significant benefit to society by enabling engineering of complex device designs that lead to products with improved performance, better utilization of material, and fewer resources consumed in their manufacture. The new multiscale modeling framework enables the integration of part and system design with materials design and manufacturing activities. Collaborations with industry and government partners enables testing the benefits of such integration in designing complex parts with new materials. Applications ranging from complex, multi-material thermoplastic parts to photovoltaics, high performance alloy aerospace parts, and improved heat sinks for microprocessors are enabled by these advances. Participating graduate and undergraduate engineering students as well as under-represented students will benefit through classroom instruction and involvement in the research. A web-site will be established to report results and provide access to a web-enabled version of the proposed CAD technology.