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本文针对复合材料层钣的特点发展一种新的层钣有限元分析方法,建立了等参体元、超参壳元、体-壳过渡元及元外节点元的刚度矩阵。这些元素适用于各向同性材料、正交异性材料、蜂窝夹层和/或复合材料层钣的有限元分析,可以逼真地描述形状复杂的结构;还可以用来解决当前复合材料层钣研究的重大课题——层间应力计算问题。从工程应用出发,探讨了上述各种结构的最大承载能力,利用增量变刚度法提出一种解决复合材料这一非线性问题的分析方法。文中给出了一些算例,计算结果表明,所述方法是十分有效的。
In this paper, a new finite element method of sheet metal is developed according to the characteristics of composite sheet metal. The stiffness matrix of isoparametric, supercell shell, body-shell transitional elements and extra-element nodes are established. These elements are suitable for finite element analysis of isotropic materials, orthotropic materials, honeycombed and / or composite sheet metal sheets, enabling realistic descriptions of complex-shaped structures and also for solving the significant current research issues in composite sheet metal Problem - Layer Stress Calculation Problem. Based on engineering application, the maximum carrying capacity of the above structures is discussed. An incremental analytical method to solve the nonlinear problem of composite materials is proposed by using incremental variable stiffness method. Some examples are given in the paper. The calculation results show that the method is very effective.