本文選題：復合材料 + 等效模量�。� 參考：《蘭州理工大學》2017年碩士論文

【摘要】：計算顆粒增強復合材料的等效模量是復合材料力學的重要組成部分,估算等效模量的方法有兩種。一種是上下限法,一種是直接估計法。這兩種方法都是將模型作了簡化,考慮的是具有隨機分布的圓柱型或球型夾雜的復合材料。后來,Bornert通過有限元方法得到了含有橢圓夾雜復合材料的等效模量。為了解決網(wǎng)格的劃分和計算量數(shù)倍增加的問題,Riccardi和Montheillet改進了Luo和Weng提出的3PM方法,估計了橢球夾雜隨機分布復合材料的等效模量。盡管如此,他們也沒有考慮到當橢球夾雜的尺度是納米級時需要考慮界面影響的情況。本文發(fā)展了上述的方法,根據(jù)能量等效原理和計算得到納米旋轉(zhuǎn)橢球夾雜的局部應力場解,估計含有隨機分布納米橢球夾雜復合材料的等效模量。
[Abstract]:Calculating the equivalent modulus of particle reinforced composites is an important part of composite mechanics. There are two methods to estimate the equivalent modulus.One is the upper and lower bound method, the other is the direct estimation method.Both methods simplify the model and consider composite materials with cylindrical or spherical inclusions with random distribution.Later, Bornert obtained the equivalent modulus of composite material with elliptical inclusion by finite element method.In order to solve the problem of mesh generation and the increase of computational complexity, Riccardi and Montheillet improved the 3PM method proposed by Luo and Weng, and estimated the equivalent modulus of ellipsoidal inclusion randomly distributed composite materials.However, they do not take into account the influence of the interface when the scale of the ellipsoid inclusion is nanoscale.Based on the principle of energy equivalence and calculation, the local stress field solution of the inclusion of nano-rotating ellipsoid is obtained, and the equivalent modulus of the composite with random distribution of nano-ellipsoid inclusion is estimated.
【學位授予單位】：蘭州理工大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TB33

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本文編號：1761638