A New Layerwise Laminated Shell Element Construction Method Based on Generalized Conforming Theory
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摘要: 将分层理论(Layerwise)与广义协调理论相结合,提出了一种新的层合壳单元构造方法,并详细推导了单元的构建过程。该单元能分层计算层合结构的位移,因采用Timoshenko厚粱理论计算各层剪应变场,当结构包含薄铺层时,该铺层力学模型将由厚板模型自动退化为薄板模型,避免了剪切闭锁问题。在退化过程中,通过广义协调元方法保证了相邻单元间积分意义的连续。数值算例表明,这种层合壳单元能准确描述层合结构力学特性,在厚、薄铺层并存的情况下能有效计算复合材料层合结构的力学问题,具有较高的精度。Abstract: Utilizing the generalized conformation theory, a new layerwise laminated shell element constructionmethod is developed, and the detailed construction process is presented.The construction method can calculate thedisplacement of each layer.The shear strain fields of each layer are determined with the Timoshenko beam theory.When a laminated structure contains thin layers, the thin-layer model degrades into a thin-plate model which is freeof shear locking.During the degradation, the displacement between adjacent elements keeps constant in terms ofintegral due to generalized conformation.Numerical examples show that this laminated shell element can accuratelydescribe the mechanical properties of each layer and calculate the mechanics of a laminated structure with thin andthick layers.
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