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首页> 外文期刊>Thin-Walled Structures >Extended multiscale finite element method for large deflection analysis of thin-walled composite structures with complicated microstructure characteristics
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Extended multiscale finite element method for large deflection analysis of thin-walled composite structures with complicated microstructure characteristics

机译：具有复杂微观结构特征的薄壁复合结构大挠度分析的扩展多尺度有限元方法

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摘要

An efficient multiscale finite element method is developed for large deflection analysis of thin-walled composite structures with complicated microstructure characteristics. The multiscale base functions are reconstructed to consider the coupling effects of thin-walled composite structures by introducing some additional coupling terms among translations and rotations. For the construction of multiscale base functions, two kinds of displacement boundary conditions are proposed for in-plane and out-plane degrees of freedom. Moreover, two kinds of relaxed decoupled displacement boundary conditions are constructed by adopting the oversampling technique to further improve the accuracy of the method. Then, the equivalent incremental/iterative equilibrium equations for each load step can be constructed and solved directly on the macro scale which will improve the computing efficiency significantly. The microscopic results can be obtained by downscale computation in which the incremental/iterative equilibrium equations on the micro scale are solved under the incremental boundary conditions updated by incremental macroscopic displacements. Several numerical examples demonstrate that the developed method possesses high computing accuracy and efficiency compared with the conventional finite element method.
机译：建立了一种有效的多尺度有限元方法，对复杂结构的薄壁复合结构进行大挠度分析。通过在平移和旋转之间引入一些附加的耦合项，重构多尺度基函数以考虑薄壁复合结构的耦合效应。为了构造多尺度基函数，针对平面内和平面外自由度提出了两种位移边界条件。此外，通过采用过采样技术构造了两种松弛的解耦位移边界条件，以进一步提高该方法的准确性。然后，可以直接在宏观尺度上构造和求解每个荷载阶跃的等效增量/迭代平衡方程，这将显着提高计算效率。可以通过下规模计算获得微观结果，其中在由增量宏观位移更新的增量边界条件下，解决了微观尺度上的增量/迭代平衡方程。数值算例表明，与常规有限元方法相比，该方法具有较高的计算精度和效率。

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