CDS&E: Multiscale Computational Modeling of Flow-Induced Mechanical Deformation via Nonlocal Formulations

CDS

• 批准号: 2245343
• 负责人: Ivan Christov
• 金额: $ 38.66万
• 依托单位: Purdue University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-06-01 至 2026-05-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2245343&HistoricalAwards=false
• 关键词: CDS& Multiscale; Computational; Modeling; Flow; CDS& Multiscale; Computational; Modeling; Flow

This Computational and Data-Enabled Science and Engineering (CDS&E) project will contribute to the advancement of national prosperity and economic welfare by enabling predictive simulations of complex mechanical problems with relevance to biomedicine (how to adhere layers of tissue together after surgery) and the development of coatings and sealants (how to ensure dried paint remains attached to a surface). Most have experienced the commonplace challenge of peeling off a piece of tape from a surface or attempting to lift a thin object stuck to a wet glass tabletop. From paint and do-it-yourself home repair to diapers and hygiene products, soft coatings involve the fluid-layer-mediated adhesion of an elastic material to a rigid substrate. The ability to accurately simulate the adhesion and debonding processes, including material failure, in real-world scenarios remains a challenge. The fundamental research supported by this grant will promote the progress of science by developing theories that will lead to fast and accurate simulation tools capable of handling the complex interaction between thin layers of fluids and soft, elastic surfaces that can adhere, detach, or even tear apart due to the flow of the fluid. Undergraduate and graduate students will be trained in computational mechanics, and planned interactions with an HBCU will increase the diversity of individuals pursuing higher degrees, and ultimately of the STEM workforce.This grant will enable predictive, multiscale simulation of flow-induced mechanical deformation using nonlocal formulations of continuum mechanics via the construction of tractable 1D models coupling nonlocal mechanical response to fluid flow, leading to creation of 3D solvers for peridynamic equations, employing novel finite-volume discretizations that permit the simulation of two-way coupled fluid-structure interactions featuring nonlocal mechanics. Using recent developments in mathematical analysis, such as weakly-singular kernels for defining nonlocal generalization of the Laplacian, nonlocal 1D models will be derived to understand the fundamentals of flow-driven delamination of nanosheets where classical continuum mechanics approaches fail. Ideas from the finite-volume implementation of meshless (particle) methods will be used to design and build 3D computational tools upon standardized, open-source frameworks that can be made freely available to researchers and practitioners. The resulting computational tools will be capable of bridging scales (from the mesoscale to the continuum scale via nonlocal theories) to enable predictive simulation of flow coupled to nonlocal mechanics relevant to applications such as soft adhesion, additive manufacturing and biophysics.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该计算和数据支持的科学与工程（CDS＆E）项目将通过对复杂的机械问题以及与生物医学相关的相关性（手术后如何将组织层一起粘附在一起）和涂料和密封剂（确保涂料的开发（如何确保涂料）（如何将干燥的涂料都附着在表面上），从而有助于进步国家繁荣和经济福利。大多数人经历了从表面上剥离一块胶带或试图将薄薄的物体绑在湿玻璃桌上的司法挑战。从油漆和自己动手的家用修理到尿布和卫生产品，软涂层涉及弹性材料对刚性基材的液体介导的粘附。在实际情况下，准确模拟粘附和脱键过程（包括材料故障）的能力仍然是一个挑战。该赠款支持的基本研究将通过开发理论来促进科学的进步，这些理论将导致能够处理流体薄层和柔软的弹性表面之间的复杂相互作用，这些工​​具可以粘附，柔软的弹性表面，这些弹性表面可以粘附，分离，甚至由于流体流动而撕裂。 Undergraduate and graduate students will be trained in computational mechanics, and planned interactions with an HBCU will increase the diversity of individuals pursuing higher degrees, and ultimately of the STEM workforce.This grant will enable predictive, multiscale simulation of flow-induced mechanical deformation using nonlocal formulations of continuum mechanics via the construction of tractable 1D models coupling nonlocal mechanical response to fluid flow, leading to使用新颖的有限体积离散化创建3D求解器，用于peridynamic方程，允许模拟具有非局部力学的双向耦合流体结构相互作用。利用数学分析中的最新发展，例如定义拉普拉斯（Laplacian）非局部概括的弱层内核，将得出非局部1D模型，以了解纳米片流动驱动分层的基本面，在这些基础上，经典的连续机械方法失败了。来自无网状（粒子）方法的有限体积实施的想法将用于在标准化的，开源的框架上设计和构建3D计算工具，这些框架可以免费提供给研究人员和从业者。 The resulting computational tools will be capable of bridging scales (from the mesoscale to the continuum scale via nonlocal theories) to enable predictive simulation of flow coupled to nonlocal mechanics relevant to applications such as soft adhesion, additive manufacturing and biophysics.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review 标准。