陶瓷基复合材料韧-脆性转变强度的理论预测
THEORETICAL STRENGTH PREDICTION OF CERAMIC MATRIX COMPOSITES IN TOUGH-BRITTLE TRANSITION
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摘要: 韧-脆性转变对于连续纤维增强陶瓷基复合材料(CMCs)的设计与性能评价具有重要意义. 采用单纤维圆柱体模型, 基于弹性力学理论、剪滞理论、纤维统计强度理论以及混合率, 考虑细观损伤破坏机理、纤维近表面应力集中因子和界面脱粘能量释放率, 建立了CMCs的跨尺度韧-脆性转变过程拉伸强度的表征预测模型, 并将理论模型用于2D-C/SiC复合材料进行了初步对比论证. 研究结果表明, 混合率强度模型可合理表征CMCs韧-脆性转变过程的强度特性, 并准确预测CMCs的韧-脆性转变界面力学条件, 其对2D-C/SiC复合材料的强度预测值与实验数据吻合较好, 揭示了纤维近表面应力集中效应对CMCs韧-脆性转变的核心作用机制. 此外, 考虑断裂纤维簇对应力集中的影响时, 模型的强度预测值大幅度降低, 表明非均匀界面性能和非均匀承载导致的局部纤维簇断裂核, 对CMCs的承载性能具有显著削弱效应.Abstract: The tough-brittle transition is important for the design and performance evaluation of continuous fiber-reinforced ceramic matrix composites (CMCs). Using a single-fiber cylinder model together with elastic mechanics theory, shear-lag theory, fiber statistical strength theory and the rule of mixture, a trans-scale characterization and prediction model for the tough-brittle transition tensile strength of CMCs is established, taking into account the microscopic damage and failure mechanisms, fiber near-surface stress concentration factor and interfacial debonding energy release rate. The theoretical model is then used in 2D-C/SiC composites for preliminary comparative demonstration. The calculation results show that the mixing-rule strength model can reasonably characterize the tough-brittle transition strength properties of CMCs and accurately predict the interfacial mechanical conditions of the tough-brittle transition of CMCs. The theoretical strength prediction values for 2D-C/SiC composites are in good agreement with the experimental data, which reveals the core mechanism of the tough to brittle transition of CMCs is the fiber near-surface stress concentration effect. In addition, when the influence of fractured fiber clusters on stress concentration is considered, the strength predictions of the model decrease substantially, indicating that the non-uniform interfacial properties and the localized fracture nuclei of fibers breaks due to non-uniform load bearing have a significant weakening effect on the load-bearing properties of CMCs.