基于Eshelby等效夹杂理论及Weibull统计分布,发展了SiCp/Al金属基复合材料断裂韧性与拉伸延性的力学模型.模型的计算表明:当复合材料受外力时,SiC颗粒所受的力与外加应力呈线性关系.随着外加应力的增加,SiC颗粒所受的力也线性增加.同时,外力作用下SiC颗粒的断裂分数服从Weibull统计分布,即SiC颗粒的总体含量越高,其断裂分数就越高.模型关于约化拉伸延性和断裂韧性的计算与实验结果较为吻合.模型的解析和实验结果都表明:拉伸延性与断裂韧性随SiC颗粒体积分数的增加而减小.在相同体积分数的情况下,拉伸延性与断裂韧性随SiC颗粒尺寸的增加而减小.
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