精化一阶剪切变形理论和三角形层合板单元

A Refined First-Order Shear Deformation Theory and Triangular Plate Element of Composite Laminate

基于L i和L iu的整体-局部高阶理论思想(1997),推导了精化一阶剪切变形理论.这种理论满足位移和横向剪切应力层间连续条件并且未知数个数独立于层合板的层数,同时不需要任何剪切校正系数.基于此理论建立了满足C1连续条件的三节点三角形单元.结果表明:当前理论能准确计算层合板的自然频率.

Based on global-local higher- order theory proposed by Li and Liu （1997）, a refined first-order shear deformation theory is developed. This theory fully satisfies free surface conditions with geometric and stress continuity at interfaces, and the number of unknowns is independent of the layer numbers of the composite laminate. Moreover,the artificial shear correction factor is not required. According to the present theory ,a three-noded triangular element satisfied C1 continuity condition is presented. Numerical results show that the natural frequency can be accurately computed using the theory.