利用结构基因法研究非线性周期性板结构的等效力学性能

Study on the equivalent properties of nonlinear periodic heterogeneous composite plates using the structural genome approach

非线性周期性板结构是一类在智能复合材料领域具有巨大应用潜力的结构,因其构成材料的非线性特性,以及结构中经常包含增强纤维、肋板和空洞等复杂微结构导致的材料几何非线性,利用常规的有限元方法进行建模和分析较为困难。本文提出了一种结构基因法,通过提取非线性周期性板结构的最小模型单元作为其结构基因,将异质周期性板结构等效为均质板结构,便捷地求解了非线性周期性板结构的微观力学性能和整体等效力学性能。算例表明,结构基因方法可用来分析复杂非线性复合材料结构问题,计算结果精度足够,为复合材料微观力学研究提供了有价值的参考。

A nonlinear periodic plate structure is a promising structure in intelligent composite materials.These structures often include complex microstructures such as ribs,holes and reinforcing fibers.Due to the existence of these complex members,it is difficult to model and analyze this type of structures directly.In order to solve the problems,these structures are usually modeled as equivalent macroscopic homogeneous plates.Thus the key problem is to obtain the equivalent mechanical properties of the macro model.In this study,we propose a structural genome approach to obtain the equivalent mechanical properties of the nonlinear periodic heterogeneous plate structures.We regard the smallest structure building block of the nonlinear periodic plate structure as its structural genome.The equivalent mechanical properties can be calculated through the structural genome.This work provides a convenient approach to analyze micromechanical and overall equivalent mechanical properties of the nonlinear periodic plate structure,and the results agree very well with the analysis results of the original nonlinear periodic plate structure.Structural genome method can provide a valuable reference for the micro-mechanical research of composite materials.