作　　者： ; ; ;

机构地区： 南京航空航天大学能源与动力学院

出　　处： 《航空动力学报》 2011年第3期593-602,共10页

摘　　要： 结合虚位移原理和宏细观统一本构模型的基本理论提出了一种宏细观统一本构模型.该模型将宏观位移表示为宏观应变与细观位移的线性组合,然后应用虚位移原理建立基本方程,采用有限元法进行求解,得到宏观应变增量和应力增量的关系式.通过算例分析对比了模型与FVDAM(finite volume directe aver-age method)的应力场和计算效率,结果表明模型不仅具有较高的精度而且提高了计算效率.采用模型预测了复合材料的偏轴弹性模量和弹塑性应力应变响应.其中偏轴弹性模量与转轴公式计算结果相符,而弹塑性应力应变响应与实验结果吻合. A novel constitutive model was developed for composite by combining the theory of macro and micro scale coupled constitutive model and the virtual displacement principle.The displacement within the subcell was expanded in terms of the global strains and the fluctuating displacements.Then the virtual displacement principle was used to construct the basic equations of the model.The periodic boundary conditions were employed to solve the basic equations.Finally the relation between global stress increment and global strain increment was deduced.Both the accuracy and efficiency of the new model were verified numerically by comparing with finite volume directe average method（FVDAM）.The global elastic modulo and transverse elastic-plastic stress-strain responses were also predicted by the new model.The results show that predictions of the model are in good agreement with transformation equations and experiment.

关 键 词： 复合材料 宏细观统一本构模型 虚位移原理 细观应力场 偏轴弹性模量

领　　域： [一般工业技术]