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徐焜 许希武. 三维编织复合材料渐进损伤的非线性数值分析[J]. 力学学报, 2007, 23(3): 398-407. DOI: 10.6052/0459-1879-2007-3-2006-450
引用本文: 徐焜 许希武. 三维编织复合材料渐进损伤的非线性数值分析[J]. 力学学报, 2007, 23(3): 398-407. DOI: 10.6052/0459-1879-2007-3-2006-450
Kun Xu, Xiwu Xu. Nonlinear numerical analysis of progressive damage of 3D braided composites[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(3): 398-407. DOI: 10.6052/0459-1879-2007-3-2006-450
Citation: Kun Xu, Xiwu Xu. Nonlinear numerical analysis of progressive damage of 3D braided composites[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(3): 398-407. DOI: 10.6052/0459-1879-2007-3-2006-450

三维编织复合材料渐进损伤的非线性数值分析

Nonlinear numerical analysis of progressive damage of 3D braided composites

  • 摘要: 基于考虑纤维束相互挤压的八边形纤维束截面单胞模型,引入周期性位移边界条件,采用细观非线性有限元方法,建立了三维四向编织复合材料的渐进损伤拉伸强度模型. 该模型考虑了增强体纤维束纵向非线性剪切应力-应变关系,采用Hashin型损伤失效准则定义了纤维束的典型损伤类型,并根据纤维束和纯基体相应损伤类型所造成的材料性能退化,模拟了不同编织角试件各类损伤产生、扩展及材料最终破坏的整个过程. 模型数值结果与实验数据吻合较好,证明了该模型的合理有效性. 探讨了组分材料剪切非线性、损伤对材料宏观非线性本构行为的影响,结果表明:随着编织角增大,纤维束剪切非线性效应和累积损伤对材料非线性力学行为的影响明显增强.

     

    Abstract: A tensile strength model to predict the damage initiationand propagation of 3D braided composites has been proposed based on therepresentative volume element by using the nonlinear finite element method.The geometrical unit-cell model considering the mutual contact and jammingof yarns was applied in the FEM model coupled with the periodicaldisplacement boundary conditions. In particularly, the nonlinear shearstress-strain behaviors of the yarns were considered in the model andHashin-type failure criteria were adopted to judge the occurring of damageevents of the yarns. Based on the degradation scheme of elastic mechanicalproperties, the simulation of the whole process of damage initiation,propagation and catastrophic failure of the structure was done in detail. Toverify the numerical model, two typical specimens with different braidingangle were selected to conduct the simulations. The calculated values by themodel are well agreed with the measured values. Numerical results verify theeffectiveness of the model. The effects of the shear nonlinearity of theyarn and damage accumulation on the nonlinear mechanical behavior of 3Dbraided composites were discussed. The conclusion has indicated that thenonlinear mechanical behaviors of the composites are affected remarkably bythe shear nonlinearity of yarns and accumulation of damages when thebraiding angle of the composites is increased.

     

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