多尺度有限元建模方法及其应用

Multiscale Finite Element Modeling and its Application in Structural Analysis

在有限的计算条件下,为了尽可能的提高结构有限元分析的精度,本文引入了有限元多尺度计算方法。通过寻找有限元微观模型与宏观模型的界面连接方法,从而使精细的有限元模型可以自然地植入宏观模型,有效实现不同尺度模型间的变形协调。通过编制用户子程序,在有限元软件中对界面连接的合理性进行了算例验证,为多尺度有限元计算在结构分析中的应用提供了条件。最后采用多尺度建模方法,给出了钢结构弹塑性时程分析的应用实例。

A methodology of connecting microscopic finite element model to macro model is proposed, which is important to carry out multiscale finite element analysis （FEA） of stuctures. Both the theory and the verifying example show that the methodology meets the deformation compatibility well at the interface between different-scale models. Based on the methodology, a precise microscopic finite element model is implanted into a macro frame structure model to form a multiscale model. In the end, a further example of application is given.