CAJ | 학술논문

复合材料几何模型可用于计算其物理性能和力学性能。对于随机分布的椭球颗粒复合材料和三维编织复合材料提出几何建模方法。首先针对随机分布颗粒为椭球的情况进行了阐述，对现有生成椭球颗粒分布样本的方法进行改进，消除了随机颗粒重叠的情况；为了应用多尺度有限元方法，对单胞边界之外的椭球进行处理，得到基体和增强体的边界。另外，针对三维四向编织方法，在纤维束不重叠并尽可能排列紧密的情况下给出了构建每根纤维束的运动规律。最后通过实例验证了该方法的有效性。
복합재료궤하모형가용우계산기물이성능화역학성능。대우수궤분포적타구과립복합재료화삼유편직복합재료제출궤하건모방법。수선침대수궤분포과립위타구적정황진행료천술，대현유생성타구과립분포양본적방법진행개진，소제료수궤과립중첩적정황；위료응용다척도유한원방법，대단포변계지외적타구진행처리，득도기체화증강체적변계。령외，침대삼유사향편직방법，재섬유속불중첩병진가능배렬긴밀적정황하급출료구건매근섬유속적운동규률。최후통과실례험증료해방법적유효성。
Geometry model of composites materials could be used to calculate its physical and mechanical properties. In this paper, a geometry modeling algorithm for composite materials with randomly distributed ellipsoidal grains and three dimensional braided composites is proposed. Firstly, we use ellipsoids to repre-sent grains and modify the original samples of randomly distributed grains to remove overlapped ones. Then, in order to apply multi-scale finite element method, the ellipsoids outside the boundaries of the unit cell is handled to obtain the boundaries of matrix and reinforcement. For 4-step rectangular three-dimensional braided composites, we analyze the motion law of each yarn to obtain tightly packed yarns without intersec-tion. Examples have been given to demonstrate the validity of algorithms.