短纤维增强金属基复合材料弹性模量临界值计算预测

Calculation and prediction of critical elastic modulus of short fiber-reinforced metal matrix composites

基于短纤维增强金属基复合材料弹性模量理论模型,提出了弹性模量临界值的定义,并建立了可用于预测计算的纤维临界长径比和材料参数之间的解析函数。将与曲线拐点切线和最大值水平直线交点相对应的长径比值定义为纤维临界长径比,将与此相对应的函数值定义为弹性模量临界值。计算结果表明,纤维临界长径比随纤维弹性模量的增加而增加,随基体弹性模量和纤维体积分数的增加而降低。

Based on the theoretical model for the elastic modulus of short fiber-reinforced composite,the critical elastic modulus of short fiber-reinforced metal matrix composites was proposed and an analytical expression for the relationship between the critical elastic modulus and the critical aspect ratio of the fiber and other material parameters was derived.The critical aspect ratio of the fiber is defined as the cross-point of the tangent value of the inflexion and the asymptote of the maximum elastic modulus.The calculations reveale that the critical aspect ratio of the fiber increased with increasing the elastic modulus of the fiber and decreased with increasing the elastic modulus of the matrix and the volume fraction of the fiber.