【Key words】 composite； composite Shell； hierarchical design optimization； adaptive genetic algorithm； finite element method； aeroengine case；
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层合壳体 laminated shell structure
闭合壳层 [物] closed shell
夹芯层合壳 sandwich laminated shell
单闭合壳层核 single closed shell nuclei
双闭合壳层核 doubly closed shell nuclei
复合材料层合扁球壳 laminated composite shallow spherical shells
自旋轨道耦合壳层模型 spin-orbit coupling shell model ; model spin-orbit coupling shell
壳层闭合 shell closure
复合材料层合扁锥壳 laminated composite shallow conical shells
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并由复合材料板壳的广义内力公式和压电本构关系，导出压电层合壳的广义内力-位移-电场关系；
The formulas of general force displacement electric fields for piezoelectric laminated shell were derived according to the laminate theory and piezoelectric constitutive equations.
这种实体型壳元既可以用较粗的网格很好地模拟层合壳，又易与三维实体单元相连接，使变厚度、带有补强的复合材料层合壳体等复杂结构得以正确建模。
With this solid-type shell element, satisfactory resolution can be ensured even if a relatively coarse FE mesh is employed, and this element can be easily connected with other solid type elements.
新单元的计算方法不改变壳体结构的一般假设条件，利用厚度方向分段积分来完成问题的求解，并对层合截锥壳进行计算。
The common hypotheses of the shell structure aren't alterative in the new finite element method and it finishes the solution through the integral of the different laminas.
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