Polygonal and Polyhedral Elements as a New Computational Paradigm to Study Soft Materials

多边形和多面体单元作为研究软材料的新计算范式

• 批准号: 1624232
• 负责人: Glaucio Paulino
• 金额: $ 38.92万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-05-01 至 2018-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1624232&HistoricalAwards=false
• 关键词: Polygonal; Polyhedral; Elements; New; Computational; Polygonal; Polyhedral; Elements; New; Computational

Modern advances in materials science have revealed that soft organic solids --- such as electro- and magneto-active elastomers, gels, and shape-memory polymers --- hold tremendous potential to enable new high-end technologies, especially as the next generation of sensors and actuators featured by their low cost together with their biocompatibility, processability into arbitrary shapes, and unique capability to undergo large reversible deformations. The realization of this potential has prompted an upsurge in the computational microscopic and mesoscopic studies of soft materials with the objectives of quantitatively understanding their behavior from the bottom up and ultimately guiding their optimization and actual use in technological applications. Almost all of these studies have made use of standard finite elements, which have repeatedly proved unable to simulate processes involving realistically large deformations. The graduate students involved in the project will benefit from the collaborative computational/theoretical character of the research. Concepts developed from this interdisciplinary research will be adapted into the curriculum and will positively impact engineering education.The main objective of this project is to put forward a new computational technology with the capability to study soft solids undergoing realistically large deformations. A second objective is to deploy this technology to study the nonlinear elastic response of soft solids with complex particulate microstructures (e.g. elastomers reinforced with anisotropic filler particles), ubiquitous in many soft active material systems. From a conceptual point of view, this will be accomplished by making use of mimetic inspired methods (which preserve the underlying properties of physical and mathematical models, thereby improving the predictive capability of computer simulations) to put forward a new discretization approach for arbitrarily shaped elements under finite deformations in the context of finite element and virtual element methods. This work involves collaboration with the University of Milan and Los Alamos National Laboratory.

材料科学的现代进步表明，柔软的有机固体 - 例如电动和磁性弹性体，凝胶和形状 - 内存聚合物 - 具有巨大的潜力，可以启用新的高端技术，尤其是下一代传感器和执行器，其较低的成本与它们的生物兼容性相同，可加工性地兼容，独特的型号和独特的能力，并具有独特的能力。这种潜力的实现促使对软材料的计算显微镜和介观研究促进了人们的介绍，其目的是定量地理解其行为从自下而上，并最终指导其在技术应用中的优化和实际使用。几乎所有这些研究都利用了标准有限元素，这些元素反复被证明无法模拟涉及现实变形的过程。参与该项目的研究生将受益于研究的协作计算/理论特征。从这项跨学科研究开发的概念将适应课程，并将对工程教育产生积极影响。该项目的主要目的是提出一项新的计算技术，能够研究经历现实变形的软固体。第二个目标是部署这项技术，以研究具有复杂颗粒微结构的软固体的非线性弹性响应（例如，在许多软活动材料系统中无处不在的各向异性填充物颗粒增强的弹性体弹性体）。从概念的角度来看，这将通过利用模拟启发的方法（保留物理和数学模型的潜在属性，从而提高计算机模拟的预测能力）来实现这一目标，从而提高了在有限元元素和虚拟元素方法的有限型元素下的任意形状元素的新离散方法。这项工作涉及与米兰大学和洛斯阿拉莫斯国家实验室合作。