复合材料夹层板单向受弯应力分析  

STRESS ANALYSIS OF COMPOSITE SANDWICH PANELS UNDER UNIDIRECTIONAL BENDING

作　　者：洪俊青[1] 刘伟庆 方海 张富宾 HONG Jun-qing;LIU Wei-qing;FANG Hai;ZHANG Fu-bin(School of Architectural Engineering,Nantong University,Nantong 226019,China;Advanced Engineering Composites Research Center,Nanjing Tech University,Nanjing 211816,China;Faculty of Civil Engineering&Mechanics,Zhenjiang 212013,China)

机构地区：[1]南通大学建筑工程学院,南通226019 [2]南京工业大学先进工程复合材料研究中心,南京211816 [3]江苏大学土木工程与力学学院,镇江212013

出　　处：《工程力学》2018年第4期41-51,共11页Engineering Mechanics

基　　金：国家自然科学基金重点项目(51238003);国家自然科学基金面上项目(51578285);江苏省自然科学基金(BK20161545)

摘　　要：基于非线性软质芯材位移模式的高阶剪切变形Zigzag夹层板理论,运用有限元方法分析了木质芯材—玻璃纤维增强聚合物(Glass Fiber Reinforced Polymer,下文缩写为GFRP)面板增强层、木芯材—GFRP竹混合增强层、以及泡沫芯材—GFRP面板增强层三种由真空导入工艺制作的复合材料夹层板;以米塞斯应力屈服准则为依据计算了特征点极限荷载,提出层间应力差作为树脂层的计算依据;考虑到根据本构模型直接由有限元法求得的位移获得的横向剪应力精度较低,采用基于应力平衡方程的最小二乘法计算了夹层板横向剪应力。对比实验和等效截面法的分析结果表明,基于非线性软质芯材位移模式的高阶剪切变形zigzag理论有限元分析法对于硬质和软质芯材复合材料夹层板都是十分有效的、实用的分析方法,适合于精细化分析和设计;等效截面法对于硬质芯材复合材料夹层板具有一定准确性,适合于初步分析和设计。Based on the higher-order-zigzag theory(HOZT)and the assumption of nonlinear transverse displacement over the entire core thickness,the Finite Element Method(FEM)was utilized to analyze three Composite Sandwich Panels(CSPs)produced by the vacuum import process.The CSPs included a wood core-Glass-Fiber-Reinforced-Polymer(GFRP)sheet,a wood core-GFRP sheet combining bamboo reinforcement laminate,and a foam core-GFRP sheet.The stress disparity between interlaminates was proposed to indicate the resin-seam stress state,and the Von.Mises yield criterion was considered as a denotation for ultimate-load calculation at some special spots.Owing to the low precision of the CSP transverse shear stress acquired by the constitutive relation and the FEM calculated displacement directly,the indirect method with transverse shear stress equilibrium equation and the Least Square Error(LSE)were applied.The analyses show that compared with the results from experiments and the Equivalent Section Method(ESM),FEM is significantly effective and practical in coping with stiff and soft CSPs,hence is suitable for accurate analysis and design of CSPs.On the other hand,the ESM is suitable for relatively stiff-core CSPs and preliminary estimation.

关 键 词：复合材料 夹层结构 有限元分析 Zigzag理论 单向板 最小二乘法 

分 类 号：TB332[一般工业技术—材料科学与工程]