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一种基于水平集的纺织和三维增强复合材料代表性体积单元生成器及扩展有限元法模拟

A Level-Set Based Representative Volume Element Generator and XFEM Simulations for Textile and 3D-Reinforced Composites.

作者信息

Sonon Bernard, Massart Thierry J

机构信息

Building, Architecture and Town Planning Departement (BATir) CP 194/2, Université Libre de Bruxelles (ULB), Avenue F.D. Roosevelt 50, 1050 Brussels, Belgium.

出版信息

Materials (Basel). 2013 Nov 28;6(12):5568-5592. doi: 10.3390/ma6125568.

DOI:10.3390/ma6125568
PMID:28788409
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5452760/
Abstract

This contribution presents a new framework for the computational homogenization of the mechanical properties of textile reinforced composites. A critical point in such computational procedures is the definition and discretization of realistic representative volume elements (RVEs). A geometrically-based weave generator has been developed to produce realistic geometrical configurations of the reinforcing textile. This generator takes into account the contact conditions between the yarns in the reinforcement by means of an iterative scheme, accommodating the tension in the yarns in an implicit manner. The shape of the cross sections of the yarns can also be adapted as a function of the contact conditions using a level set-based post-processor. This allows a seamless transition towards an extended finite element (XFE) scheme, in which the obtained reinforcement geometry is subsequently exploited to derive the mechanical properties of the composite system using computational homogenization.

摘要

本文提出了一种用于纺织增强复合材料力学性能计算均匀化的新框架。此类计算过程中的一个关键点是现实代表性体积单元（RVE）的定义和离散化。已开发出一种基于几何的织造生成器，以生成增强织物的现实几何构型。该生成器通过迭代方案考虑增强材料中纱线之间的接触条件，以隐式方式考虑纱线中的张力。纱线横截面的形状也可使用基于水平集的后处理器根据接触条件进行调整。这允许无缝过渡到扩展有限元（XFE）方案，其中随后利用所获得的增强材料几何形状，通过计算均匀化来推导复合系统的力学性能。

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