基于Reddy高阶理论复合材料层合梁力学行为分析  

Mechanical Behavior Analysis of Laminated Composite Beam Based on Reddy's High-order Theory

作　　者：周开渊 张辉[1] 陈丽敏[1] 李磊[1] Zhou Kaiyuan;Zhang Hui;Chen Limin;Li Lei(National Key Laboratory of Strength and Structural Integrity,Aircraft Strength Research Institute of China,Xi'an,Shaanxi,710065,China)

机构地区：[1]中国飞机强度研究所强度与结构完整性全国重点实验室,陕西西安710065

出　　处：《飞行器强度研究》2024年第3期10-18,共9页Aircraft Strength Research

摘　　要：复合材料层合结构相邻层的材料参数变化大,存在较大的横向剪切变形。Reddy高阶理论增加了三阶项,且满足横向剪应力为零的自由表面条件。基于Reddy高阶理论,推导了复合材料层合梁弯曲响应和屈曲载荷解析解,并与有限元结果比较验证了所建模型的准确性,同时分析了跨厚比对复合材料层合梁的弯曲和屈曲行为的影响。结果表明,复合材料层合厚梁受弯曲载荷时面内位移沿厚度方向呈现锯齿型分布,且面内应力在相邻层间会发生突变;相较于一阶剪切变形理论,Reddy高阶理论可以有效预测复合材料结构位移和应力分布,预测误差小于10%。Material constants of adjacent layers in laminated composite structures change suddenly,resulting in significant transverse shear deformation.Reddy's higher-order theory adds a third-order term and satisfies the free surface condition of zero transverse shear stresses.Based on Reddy's high-order theory,analytical solutions for the bending responses and buck-ling loads of laminated composite beam were derived,and the accuracy of the model was verified by comparing it with finite element results.At the same time,the influence of span-thickness ratio on the bending and buckling behavior of laminated composite beam was analyzed.The results indicate that the in-plane displacements of laminated thick beam under bending distribute the zig-zag shape along the thickness direction,and the in-plane stresses undergo abrupt changes between adja-cent layers.Compared to the first-order shear deformation theory,the Reddy's high-order theory can effectively predict the displacements and stresses distribution of composite structures,with a prediction error of less than 10%.

关 键 词：Reddy高阶理论 复合材料层合梁 弯曲响应 屈曲载荷解析解 

分 类 号：TB3[一般工业技术—材料科学与工程]