复合材料构件宏细观跨尺度分析

本文探讨一种适用于复合材料宏细观间跨尺度分析的细观元方法。细观元法在结构的常规有限元内部设置密集细观单元以反映材料细观构造,又通过协调条件将各细观元结点自由度转换为同一常规有限元自由度,再上机计算。此方法可实现材料细观结构到构件宏观响应的直接过渡分析,而计算单元与自由度又等同一般常规有限元,为解决具有细观结构新材料与构件跨尺度分析提供一种新的有力工具。本文给出用于宏细观跨尺度分析细观元法的基本原理与算式,并以纤维增强复合材料和功能梯度复合材料为例介绍其工程应用。

SCALE-SPAN ANALYSIS OF COMPOSITE MATERIALS BY MICROELEMENT METHOD

A microelement method for the scale-span analysis of composite materials with microstructure is suggested.In order to reflect microconstitution of materials,the microelement method sets up the dense microelements in the normal finite element of structure and translates the degrees of freedom of every microelement node into ones of the same normal finite element by the compatibility conditions,which will be calculated by a computer.This microelement method can fully realize the transition from material microstructure to macro-response of the structure,and its computational elements and degrees of freedom are the same as the normal finite element method.Therefore,this method is an effective means for the scale-span analysis of materials and structures with microstructure.Basic principle and equations of microelement method in scale-span analysis are given in this paper.The application is illustrated by taking the example of FRP and FGM.