精确的复合材料层合板有限元模型

An Accurate Finite Element of Laminated Composite Plates

基于两个剪切变形函数,建立了精确的复合材料层板有限元模型。本文模型具有一般形式的二维板壳理论的位移场,但能精确满足层板界面的连续条件及板面的载荷条件,同时有限元模型的节点自由度数为确定值,不随层数的增加而增加。数值结果与精确解比较,表明了本文模型的收敛性和高精度。

Based on two shear deformation functions, an accurate finite element of laminated composite plates is developed. A general displacement field of twodimension laminate theory is adopted. It can satisfy accurately the interfacial continuity of displacements and transverse shear stresses and the conditions of loading acting on the lateral planes. The number of nodal freedom is fixed and independent of the number of layers involved. The present finite element results are compared with the exact threedimension solutions and the analytical solutions, and the convergence and the accuracy of the present finite element are demonstrated in the numerical examples.