Multiscale modelling of particulate composites with spherical inclusions

IF 8.7 2区 工程技术 Q1 Mathematics
Abdalla Elbana, Amar Khennane, Paul J. Hazell
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引用次数: 0

Abstract

This paper presents a novel and effective strategy for modelling three-dimensional periodic representative volume elements (RVE) of particulate composites. The proposed method aims to generate an RVE that can represent the microstructure of particulate composites with hollow spherical inclusions for homogenization (e.g., deriving the full-field effective elastic properties). The RVE features periodic and randomised geometry suitable for the application of periodic boundary conditions in finite element analysis. A robust algorithm is introduced following the combined theories of Monte Carlo and collision driven molecular dynamics to pack spherical particles in random spatial positions within the RVE. This novel technique can achieve a high particle-matrix volume ratio of up to 50% while still maintaining geometric periodicity across the domain and random distribution of inclusions within the RVE. Another algorithm is established to apply periodic boundary conditions (PBC) to precisely generate full field elastic properties of such microstructures. Furthermore, a user-friendly automatic ABAQUS CAE plug-in tool ‘Gen_PRVE’ is developed to generate three-dimensional RVE of any spherical particulate composite or porous material. Gen_PRVE provides users with a great deal of flexibility to generate Representative Volume Elements (RVEs) with varying side dimensions, sphere sizes, and periodic mesh resolutions. In addition, this tool can be effectively utilized to conduct a rapid mesh convergence study, an RVE size sensitivity study, and investigate the impact of inclusion/matrix volume fraction on the solution. Lastly, examples of these applications are presented.

带球形夹杂物的微粒复合材料的多尺度建模
本文提出了一种新颖有效的微粒复合材料三维周期代表体积元素(RVE)建模策略。所提出的方法旨在生成一种 RVE,该 RVE 可代表带有中空球形夹杂物的微粒复合材料的微观结构,用于均质化(例如,推导全场有效弹性特性)。RVE 具有周期性和随机性几何特征,适合在有限元分析中应用周期性边界条件。根据蒙特卡洛和碰撞驱动分子动力学的综合理论,引入了一种稳健算法,在 RVE 内的随机空间位置堆积球形粒子。这种新颖的技术可以实现高达 50%的粒子-矩阵体积比,同时还能保持整个域的几何周期性和 RVE 内夹杂物的随机分布。还建立了另一种算法来应用周期性边界条件 (PBC),以精确生成此类微结构的全场弹性特性。此外,还开发了一种用户友好型自动 ABAQUS CAE 插件工具 "Gen_PRVE",用于生成任何球形颗粒复合材料或多孔材料的三维 RVE。Gen_PRVE 为用户提供了极大的灵活性,可生成具有不同边长、球体尺寸和周期网格分辨率的代表性体积元素(RVE)。此外,该工具还可有效用于进行快速网格收敛研究、RVE 尺寸敏感性研究,以及研究包含物/基质体积分数对求解的影响。最后,介绍了这些应用的示例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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