已有满足层间应力连续的层合板C1型整体-局部高阶理论成功地用于建立低阶单元，但是难以构造多节点高阶单元，以致国内外至今没有给出此类多节点高阶单元。本项目将发展适于分析不同类型问题的预先满足层间应力连续C0型整体-局部高阶理论，用于构造多节点高阶单元分析孔边、湿热及压电问题。研究内容概括为：1）建立适于分析含任意孔形多层大厚度复合材料的满足层间应力连续增强C0型整体-局部高阶理论，并构造多节点高阶单元分析多层大厚度层合结构孔边附近层间应力、动力及稳定等问题；2）发展适于分析温湿耦合作用下复合材料的预先满足层间应力连续的C0型高阶理论，解决分析复合材料湿热膨胀问题时，必须提高横向位移阶数的问题，研究温度对复合材料层合结构刚度和强度等影响；3）建立能准确分析力电耦合作用下压电层合结构的预先满足层间应力连续的C0型高阶理论，考虑电场对横向剪切应力影响。通过本项目的实施，完善整体-局部高阶理论。

The C1-type global-local higher-order theories satisfying continuity conditions of interlaminar stresses are successfully used to construct lower-order elements whereas it is difficult to construct the higher-order displacement elements in terms of these theories. Up to date, the higher-order displacement elements satisfying continuity conditions of interlaminar stresses have never been reported in the published papers. To improve the present higher-order theories, this project aims at developing the C0-type global-local higher-order theories a priori satisfying continuity conditions of interlaminar stresses. Based on the proposed models, it is convenient to construct the higher-order elements for the analysis of free edge problems, hygrothermal problems and piezoelectric laminated structures. To achieve this goal, the following contents will be studied: 1) An enhanced C0-type global-local higher-order theory is to be developed for analysis of multilayer composite plates containing arbitrary shape of hole. The proposed theory a priori satisfies the continuity conditions of interlaminar stresses whereas the first derivates of transverse displacement can be taken out from in-plane displacement fields. Based on the proposed theory, the higher-order finite elements will be developed to predict the interlaminar stresses around the hole of multilayer composite plates as well as dynamic and buckling problems. 2) To avoid improving the order number of transverse displacement component of the higher-order theory for hygrothermal expansion problems of laminated composite structures, a C0-type global-local higher-order theory is to be proposed by introducing the transverse normal thermal deformation in the transverse displacement field. The proposed model is extended to study the effects of temperature on the stiffness and the strength of laminated composite structures. 3) A C0-type global-local higher-order theory satisfying continuity conditions of interlaminar stresses will be developed to refine the prediction of the mechanical and electric behaviors coupled of piezoelectric composite structures. In the proposed model, the effects of electric field on transverse shear stresses will be taken into account as continuity conditions of interlaminar stresses are used. If the project is to be finished, the global-local higher-order theories can be further improved.