Development of a continuum mechanical model for the description and simulation of the interactions between water droplet, microstructured substrate and pollutant particles during self-cleaning

开发连续介质力学模型，用于描述和模拟自清洁过程中水滴、微结构基材和污染物颗粒之间的相互作用

• 批准号: 98977063
• 负责人: Professor Dr.-Ing. Roger A. Sauer
• 金额: --
• 依托单位: Department of Civil Engineering
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2008
• 资助国家: 德国
• 起止时间: 2007-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/98977063?language=en
• 关键词: Development; continuum; mechanical; model; description

This proposal is an extension of our previous work on self-cleaning surface mechanism. During the first one-year funding period, an initial computational model of a water droplet in contact with rough surfaces has been developed. The major goal of the new research is the development of a detailed computational multiscale model for self-cleaning surface mechanisms that is based on a continuum mechanical description. Three modelling levels are considered, ranging from the millimeter scale of the droplet down to the nanometer scale of the finest surface asperities. This approach is also seen as a preparation for a future extension by a fourth modelling level that describes the interactions at the atomic level. In order to develop the multiscale model, three intermediate steps are taken: Firstly, an improved finite element membrane formulation is required. Secondly, a refined computational contact formulation needs to be developed for the membrane that can account for the rotational discontinuities that are induced within the membrane surface. Thirdly, also the description of the pollutant particles needs to be refined.

这一建议是我们以前工作的自清洁表面机制的延伸。在第一个一年的资助期内，开发了一个水滴与粗糙表面接触的初始计算模型。这项新研究的主要目标是开发一个详细的计算多尺度模型，用于基于连续力学描述的自清洁表面机制。三个建模水平被认为是从毫米级的液滴到纳米级的最精细的表面粗糙度。这种方法也被看作是为未来扩展的第四个建模水平，描述在原子水平上的相互作用的准备。为了发展多尺度模型，采取了三个中间步骤：首先，需要一个改进的有限元膜公式。其次，一个精致的计算接触配方需要开发的膜，可以占旋转的不连续性，引起膜表面。第三，污染物颗粒的描述也需要改进。

项目成果

Stabilized finite element formulations for liquid membranes and their application to droplet contact

• DOI: 10.1002/fld.3905
• 发表时间: 2014-07
• 期刊: International Journal for Numerical Methods in Fluids
• 影响因子: 1.8
• 作者: R. Sauer

A computational formulation for constrained solid and liquid membranes considering isogeometric finite elements

• DOI: 10.1016/j.cma.2013.11.025
• 发表时间: 2012-10
• 期刊: ArXiv
• 作者: R. Sauer;T. X. Duong;Callum J. Corbett

A contact theory for surface tension driven systems

• DOI: 10.1177/1081286514521230
• 发表时间: 2016-03
• 期刊: Mathematics and Mechanics of Solids
• 影响因子: 2.6
• 作者: R. Sauer