平纹陶瓷基复合材料面内剪切解析模型  

An analytical model to predict in-plane shear behavior of plain weave ceramic matrix composites

作　　者：冯宇琦 王龙[2] 李艳芬[3] 张大旭[1] FENG Yuqi;WANG Long;LI Yanfen;ZHANG Daxu(School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing Institute of Structure and Environment Engineering, Beijing 100076, China;Beijing Institute of Structure and Environment Engineering, Beijing 100076, China)

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240 [2]北京强度环境研究所可靠性与环境工程技术重点实验室,北京100076 [3]北京强度环境研究所,北京100076

出　　处：《中国科技论文》2022年第4期364-371,共8页China Sciencepaper

基　　金：国家自然科学基金资助项目(12072192,U1831105);航天一院高校联合创新基金资助项目(CALT201808)。

摘　　要：针对平纹陶瓷基复合材料(ceramic matrix composites,CMCs)非线性面内剪切行为,提出了一种预测其剪切应力-应变响应的解析模型。该模型将材料简化为纤维束与束外等效基体2个部分,假设等效基体剪切强度服从Weibull分布,定义基体剪切裂纹饱和间距与当前间距的比值为损伤率,认为基体剪切模量随着损伤率的增加呈指数衰减。考虑基体开裂与界面脱黏对剪切性能的影响,分析了模型参数对剪切应力-应变曲线的影响规律。通过与平纹C/SiC和SiC/SiC复合材料面剪试验曲线的对比,验证了模型的准确性。该模型可用于CMCs的剪切行为分析与设计。Concerning the nonlinear in-plane shear behavior of plain weave ceramic matrix composites(CMCs),an analytical model was proposed to predict the shear stress-strain response.The model simplified the material into two components:the fiber tows and the equivalent matrix outside the tow.It is assumed that the shear strength of equivalent matrix obeys the Weibull distribution,and the ratio of the matrix crack saturation spacing to the current spacing was defined as the damage rate.The matrix shear modulus decayed exponentially as the damage rate increased.The model considers the effects of matrix cracking and interface debonding on the shear behavior.The influence of model parameters on the shear stress-strain curves was analyzed.The accuracy of the model was verified by comparing with the in-plane shear test curves of plain weave C/SiC and SiC/SiC composites.This model can be used to analyze and design the shear behavior of ceramic matrix composites.

关 键 词：复合材料 剪切 损伤 基体开裂 WEIBULL分布 

分 类 号：O341[理学—固体力学]