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力学学报  2015 

复合材料层合板低速冲击损伤分析的连续介质损伤力学模型

DOI: 10.6052/0459-1879-14-169, PP. 458-470

Keywords: 低速冲击,连续介质损伤力学模型,基体裂纹饱和密度参数,卜克准则,网格依赖性

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Abstract:

针对复合材料层合板低速冲击损伤问题,提出了一种各向异性材料连续介质损伤力学模型,模型涵盖损伤表征、损伤起始判定和损伤演化法则3个方面.通过材料断裂面坐标下的损伤状态变量矩阵完成损伤表征,并考虑断裂面角度的影响,建立了主轴坐标系下的材料损伤本构关系.损伤起始由卜克(Puck)失效准则预测,损伤演化由断裂面上的等效应变控制,服从基于材料应变能释放的线性软化行为.模型区分了纤维损伤和基体损伤,并根据冲击载荷下层内产生多条基体裂纹继而扩展至界面形成层间裂纹(分层)的试验观察,引入基体裂纹饱和密度参数表征层间分层.以[03/45/-45]S和[45/0/-45/90]4S两种铺层的复合材料层合板为例,预测了不同冲击能量下复合材料层合板的低速冲击损伤响应参数,试验结果证明了连续介质损伤力学模型的有效性.模型在不同网格密度下的计算结果表明单元特征长度的引入可以在一定程度上降低损伤演化阶段对网格密度的依赖性.

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