Homogenisation of a sheared unit cell of textile composites
Homogenisation of a sheared unit cell of textile composites
复制标题
纺织复合材料剪切晶胞的均质化
DOI：
10.3166/reef.14.709-728
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
I. Verpoest
中科院分区：
文献类型：
--
作者：
S. Lomov;E. Bernal;D. Ivanov;S. Kondratiev;I. Verpoest
纺织复合材料在“细观”（单元格）水平上的细观力学建模提供了产生复合材料的均匀特性所需的信息（在悬垂期间增强变形），用于“宏观”（复合部件）水平上的结构分析。细观计算的输入数据包括剪切织物的几何模型以及纤维和基质的性质。夹杂物模型，然后进行到一组刚性夹杂物，代表纤维的局部取向的增强体的近似描述，并采用Eshelby解决方案和Mori-Tanaka或自洽均匀化方案来计算复合材料的有效刚度矩阵。有限元建模经历以下阶段：（1）将几何模型转换为实体模型;（2）网格划分;（3）应用周期性边界条件;（4）求解计算均匀刚度矩阵所需的一组模型。所有这些阶段提出了具体的挑战的情况下，非正交的平移对称的问题，这是处理的文件中的两种类型的纺织增强：编织和非卷曲织物。
Meso-mechanical modelling of textile composites on the “meso” (unit cell) level provides information necessary to produce homogenised properties of the composite material (with the reinforcement deformed during draping), to be used in structural analysis on the “macro” (composite part) level. The input data for the meso-calculations include geometrical model of the sheared textile and properties of the fibres and matrix. Inclusion model proceeds then to an approximate description of the reinforcement as a set of stiff inclusions, representing local orientations of the fibers, and employs the Eshelby solution and Mori- Tanaka or self-consistent homogenisation scheme to calculate the effective stiffness matrix of the composite. Finite element modelling goes through stages of (1) converting the geometrical model into a solid model; (2) meshing; (3) applying periodic boundary conditions and (4) solving a set of models necessary to calculate the homogenised stiffness matrix. All these stages present specific challenges for the case of non-orthogonal translational symmetry of the problem, which are dealt with in the paper for two types of textile reinforcements: woven and non-crimp fabrics.