单向纤维增强陶瓷基复合材料单轴拉伸行为
Uniaxial tensile behavior of unidirectional fiber reinforced ceramic matrix composites
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摘要: 采用细观力学方法对单向纤维增强陶瓷基复合材料的单轴拉伸应力-应变行为进行了研究。采用Budiansky-Hutchinson-Evans(BHE)剪滞模型分析了复合材料出现损伤时的细观应力场,结合临界基体应变能准则、应变能释放率准则以及Curtin统计模型三种单一失效模型分别描述陶瓷基复合材料基体开裂、界面脱粘以及纤维失效三种损伤机制,确定了基体裂纹间隔、界面脱粘长度和纤维失效体积分数。将剪滞模型与3种单一失效模型相结合,对各个损伤阶段的应力-应变曲线进行模拟,建立了准确的复合材料强韧性预测模型,并讨论了界面参数和纤维韦布尔模量对复合材料损伤以及应力-应变曲线的影响。与室温下陶瓷基复合材料单轴拉伸试验数据进行了对比,各个损伤阶段的应力-应变、失效强度及应变与试验数据吻合较好。Abstract: The uniaxial tensile stress-strain behavior of unidirectional fiber reinforced ceramic matrix composites was studied using a micromechanical approach. The Budiansky-Hutchinson-Evans (BHE) shear lag model was used to analyze the micro stress field of the damaged composites. The critical matrix strain energy criterion,strain energy release rate criterion and Curtin's statistical failure criterion were used to describe the matrix cracking,interface debonding and fiber failure,and to determine the matrix cracking space,the interface debonding length and the percentage of the fracture fibers. By combining the shear lag model and three damage models,the stress-strain curve of each damage stage was modeled,and the exact model of predicting the toughness and the strength of the composites was established. The influences of the interface parameter and fiber Weibull modulus on the damage of the composite and the stress-strain curve were discussed. The uniaxial tensile experimental data of ceramic matrix composites at room temperature was compared with the present analysis. The stress-strain curve of each damage stage,the failure strength and strain agreed well with the experimental data.