新型整体-局部高阶剪切变形理论及层合板精化三角形单元

基于整体-局部位移方法，建立了一种高阶剪切变形理论。整体位移部分采用的是Reddy理论的位移模式（1984），局部位移为LIXY等（1997）建立的1，2-3理论的局部函数。这一理论使满足自由表面条件的Red@理论进一步满足层间位移、应力连续，同时有效减少了1，2—3理论的未知数个数。基于此理论深入开展了有限元法研究，建立了满足C^1连续条件的精化三节点三角形单元（每个节点参数为9个）。计算结果表明：建立的精化单元能准确计算整体位移和层间应力。

A new higher-order shear deformation theory based on global-local superposition and refined triangular plate element of composite laminate

A new higher-order shear deformation theory based on global-local superposition technique is developed.The global displacement components are of the Reddy theory(1984) while local components are of the local displacement components of the Li X Y 1,2-3 double-superposition theory(1997).The present theory satisfies the free surface conditions and the geometric and stress continuity conditions at interfaces.At the same time,the theory compared with 1,2-3 theory greatly reduces the variables.A refined three-node triangular plate element(9 degrees of freedom in each node) based on new global-local higher-order theory is presented.Numerical results show that the refined triangular plate element is capable to accurately calculate global displacement and interlaminar stress.