摘要
复合材料夹层结构由于面板和芯层力学特性差异较大,屈曲分析时要分层考虑各层的剪切变形.基于Reddy的Layerwise离散层理论,假设每一层变形服从一阶剪切变形理论,在统一的位移场描述下,推导建立了一种用于复合材料夹层结构屈曲分析的四节点四边形板单元,并采用混合插值方法对单元的剪切锁定进行了修正.分别对三种典型的夹层板结构进行线性屈曲有限元分析,并将计算结果与文献中已有结果进行了对比.结果表明:论文的分析方法能离散考虑各层的力学特性,将结构离散为多层时,计算结果与三维弹性理论或高阶板理论吻合;将结构等效为单层时,计算结果与基于一阶剪切变形理论的文献结果吻合,验证了单元的有效性.
Transverse shear deformation at each layer must be considered accurately when buckling a- nalysis is performed for composite sandwich structures, due to significant difference of mechanical proper- ties between each layer. For this,a four-node plate element based on Reddy＇s Layerwise plate theory is de- veloped in this paper,which applies the first-order shear deformation theory at each layer. Mixed interpola- tion of tensorial component is employed to solve the shear locking problem. Then, three numerical examples are analyzed. The results show that the proposed element can discretely consider the mechanical properties of each layer;the accuracy of the proposed finite element is good;the results fit well with the results predic ted by three dimensional elastic theory or high-order plate theory when the plate is modelled by several lay- ers elements as well as with ones predicated by the first-order shear deformation plate theory when the plate is modelled by single layer elements.
出处
《固体力学学报》
CAS
CSCD
北大核心
2015年第4期360-366,共7页
Chinese Journal of Solid Mechanics
关键词
夹层结构
屈曲
复合材料
离散层理论
有限元
sandwich structures, buckling, composite, Layerwise plate theory, finite element
