混杂复合材料的数学模拟

对于颗粒增强复合材料的研究,过去多注重于其复合后的弹性模量。本文以等大颗粒的最紧密堆积状态为对象,建立了接触点模型,推导出掺入异种颗粒后强度变化的规律,发现强度率F=R/R_(A-A)随掺入率P=A/B的变化与正态分布曲线有关,这样当已知混杂颗粒掺入率后,在复合前即可借助N(0,1)的分布函数预测其强度率,

Mathematical Modular Form of Mixed Compound Material

As for the study of particle reinforced compound material, researches are mostly made on its module of elasticity, This article deals with particles of the same size in their states of compactness. The authors have estab(?)hed the modular form of connected points and deduced the rule of change in the strongth of material which Js mixed with foreign paticles. It has been found, on the basis of the particular shape of the curve, that the strength comparison rate F=R/R_(A_A) varies with the mixing rate P=A/B which can with the help of the N(0.1)curve of Gaussian distribution to obtain the strength comparison rate F(P).