基于RVE模型的开孔层合板拉伸强度不确定性分析

doi:10.19936/j.cnki.2096-8000.20260728.006

摘要/Abstract

摘要： 针对材料制备过程中纤维和孔隙不均匀导致开孔层合板力学性能分散性的问题,开发了一种随机分布纤维-基体-孔隙三相RVE模型的生成算法,进行了开孔层合板宏细观渐进损伤分析,并利用混沌多项式展开方法求解纤维与孔隙的尺寸(R_f,R_v)和体积分数(V_f,V_v)的灵敏度,实现了对开孔层合板拉伸强度的不确定性预测。分析结果表明:在V_f降低与V_v增加的综合影响下,开孔层合板的弹性性能参数最大降幅为29.47%,极限载荷降幅为14.51%,均显著超过单一参数(V_f或V_v)变化引起的相应最大降幅(19.5%、10.94%)。对于开孔层合板失效位移,各参数影响排序为:V_f > R_f > V_v >R_v;对于开孔层合板极限载荷,各参数影响排序为:V_v > V_f > R_v > R_f。这表明体积分数变化影响均高于尺寸变化影响。

关键词: 开孔层合板, RVE模型, 力学性能, 混沌多项式展开, 不确定性

Abstract: Aiming at the problem of dispersion of mechanical properties of open-hole laminates due to fiber and pore inhomogeneity during material preparation, this study develops an algorithm for generating a three-phase RVE model with randomly distributed fibers-substrate-pores, performs macro- and fine-scale progressive damage analyses of open-hole laminates, and solves for the sensitivities of the dimensions of the fibers and pores (R_f, R_v) and the volume fractions (V_f, V_v) by using a polynomial chaos expansion method, to realize theuncertainty prediction of tensile strength of open-hole laminates.The analytical results show that under the combined effect of V_f decrease and V_v increase, the maximum decrease in the elastic performance parameters of the open pore plywood is 29.47%, and the ultimate load decrease is 14.51%, which are significantly more than the corresponding maximum decreases caused by the changes of a single parameter (V_f or V_v) by 19.5% and 10.94%, respectively. For the failure displacements of open-hole laminates, the parameter influences were ranked as V_f > R_f > V_v > R_v; for the ultimate loads of open-hole laminates, the parameter influences were ranked as V_v > V_f > R_v > R_f. Which showed that the effects of the changes in volume fraction were greater than the effects of the changes in dimensions.

Key words: open-hole laminate, RVE modeling, mechanical properties, polynomial chaos expansion, uncertainty

中图分类号:

TB332

李恩情, 刘兴龙, 宋挺, 卢翔. 基于RVE模型的开孔层合板拉伸强度不确定性分析[J]. 复合材料科学与工程, 2026, 0(7): 44-56.

LI Enqing, LIU Xinglong, SONG Ting, LU Xiang. Uncertainty analysis of tensile strength of open-hole laminates based on RVE modeling[J]. COMPOSITES SCIENCE AND ENGINEERING, 2026, 0(7): 44-56.

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