韋伯模數(shù)計算過程

1、材料強度的韋伯統(tǒng)計分析 a statistical theory of the strength of materials.n1.韋伯統(tǒng)計分析的應(yīng)用n2.韋伯統(tǒng)計對樣品的要求n3.韋伯模數(shù)的計算n4.影響韋伯模數(shù)的因素1.韋伯統(tǒng)計的作用n比較(工藝、配方) & 預(yù)測（強度、斷裂幾率）2.韋伯統(tǒng)計的適用范圍以及對試樣的要求n適用于均一材料和復(fù)合材料n無雙線性或非線性的形變n復(fù)合材料中的第二相（如晶須，短纖維）必須均勻分布n樣品數(shù)量至少大于20（最好大于30）n樣品尺寸一致，制作工藝（熱歷史，磨拋等）一致3.1韋伯模數(shù)的計算n列出韋伯模數(shù)計算表n根據(jù)表中的數(shù)據(jù)作韋伯?dāng)嗔褞茁蕡Dn根據(jù)韋伯模數(shù)

2、和有效體積（圖中直線的斜率）計算n根據(jù)公式計算不同斷裂強度下的斷裂幾率如果u選定，則 與lg(-u) 成直線關(guān)系，直線斜率為m，與y軸截距為lg0.4343lgvmlg01lglg()1nnn (三參數(shù)，u0為兩參數(shù))順序號n斷裂幾率s=n/n+1斷裂強度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韋伯模數(shù)計算表韋伯?dāng)嗔褞茁蕡D(斜率=14；截距-29.6，進一步計算s)3.2斷裂幾率的計算韋伯統(tǒng)計斷裂幾率圖根據(jù)某一固定斷裂幾率，可以計算出相應(yīng)的斷裂強度兩種材料的韋伯統(tǒng)計斷裂幾率圖的比較4.影響韋伯模數(shù)的因素n4.1 u對m值以及r值的影響(兩參數(shù)三參數(shù)比較)n4.2強度值的分布對m值的影響4.1 u對m值以及r值的影響(兩參數(shù)三參數(shù)比較)u對m值以及r值的影響4.2強度值的分布對m值的影響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）強度值的分布對m值的影響5.作業(yè)79.5101.382.9101.885.3102.387.1104.589.9105.490.7106.290.8106.791.610992.9110.194.9110.795.2113.597.312090110901109011090110901109011