韦伯模数计算过程

1、材料强度的韦伯统计分析 a statistical theory of the strength of materials.n1.韦伯统计分析的应用n2.韦伯统计对样品的要求n3.韦伯模数的计算n4.影响韦伯模数的因素1.韦伯统计的作用n比较(工艺、配方) & 预测（强度、断裂几率）2.韦伯统计的适用范围以及对试样的要求n适用于均一材料和复合材料n无双线性或非线性的形变n复合材料中的第二相（如晶须，短纤维）必须均匀分布n样品数量至少大于20（最好大于30）n样品尺寸一致，制作工艺（热历史，磨抛等）一致3.1韦伯模数的计算n列出韦伯模数计算表n根据表中的数据作韦伯断裂几率图n根据韦伯模数

2、和有效体积（图中直线的斜率）计算n根据公式计算不同断裂强度下的断裂几率如果u选定，则 与lg(-u) 成直线关系，直线斜率为m，与y轴截距为lg0.4343lgvmlg01lglg()1nnn (三参数，u0为两参数)顺序号n断裂几率s=n/n+1断裂强度pa1/(1-s)=n+1/(n+1-n)lglg(n+1)/(n+1-n)ulg(u)10.0498.11.041666667-1.75132146998.11.99166920.0899.91.086956522-1.44114541899.91.99956530.121031.136363636-1.2555714451032.0128

3、3740.16104.21.19047619-1.1207853104.22.01786850.2105.41.25-1.013631348105.42.02284160.24107.81.315789474-0.92377327107.82.03261970.281131.388888889-0.8456749381132.05307880.32113.21.470588235-0.776008298113.22.05384690.36113.81.5625-0.712601352113.82.056142100.4114.21.666666667-0.653943015114.22.057

4、666110.441171.785714286-0.5989236241172.068186120.48117.11.923076923-0.546686773117.12.068557130.52117.32.083333333-0.496537868117.32.069298140.56118.52.272727273-0.447882819118.52.073718150.6118.62.5-0.400182395118.62.074085160.64119.22.777777778-0.352913019119.22.076276170.68120.23.125-0.305526406

5、120.22.079904180.72120.33.571428571-0.257398995120.32.080266190.76120.54.166666667-0.207756305120.52.080987200.8122.65-0.155541461122.62.08849210.84124.36.25-0.099152399124.32.094471220.88125.58.333333333-0.035825844125.52.098644230.92129.212.50.040171001129.22.111263240.96131.9250.145488534131.92.1

6、20245韦伯模数计算表韦伯断裂几率图(斜率=14；截距-29.6，进一步计算s)3.2断裂几率的计算韦伯统计断裂几率图根据某一固定断裂几率，可以计算出相应的断裂强度两种材料的韦伯统计断裂几率图的比较4.影响韦伯模数的因素n4.1 u对m值以及r值的影响(两参数三参数比较)n4.2强度值的分布对m值的影响4.1 u对m值以及r值的影响(两参数三参数比较)u对m值以及r值的影响4.2强度值的分布对m值的影响79.5101.382.9101.885.3102.387.1104.589.9105.490.7106.290.8106.791.610992.9110.194.9110.795.2113.597.3120901109011090110901109011090110901109011090110901109011090110100（sd10）100（sd10）强度值的分布对m值的影响5.作业79.5101.382.9101.885.3102.387.1104.589.9105.490.7106.290.8106.791.610992.9110.194.9110.795.2113.597.312090110901109011090110901109011