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  

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

作　　者：吴振[1] 陈万吉[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116023

出　　处：《计算力学学报》2005年第6期639-645,共7页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10172023)资助项目

摘　　要：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R eddy理论的位移模式(1984),局部位移为L I X Y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R eddy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C1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 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 globallocal higher-order theory is presented. Numerical results show that the refined triangular plate element is capable to accurately calculate global displacement and interlaminar stress.

关 键 词：高阶剪切变形理论 复合材料层合板 精化三角形板单元 

分 类 号：O34[理学—固体力学] TU323[理学—力学]