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The aim of this exercise is to calculate the stress distribution and the elastic modulus of a glass fiber/epoxy composite with aligned short fibers. The stress distribution will be calculated by using three stress distribution models: the shear lag model with perfect interface bonding, the constant interface shear stress model with interface stress equals to the matrix yield stress and the same as the previous one but with an interface crack with a friction at the interface leading to constant shear stress.

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[...] We can also notice that the plateau stress level is the same than with the shear lag model (700 MPa in both case). To obtain the Young’s modulus of the composite with this method we have to calculate the average stress into the fiber σf(av) and the average stress into the matrix σm(av) to find the stress into the composite σc. Finally we obtain the Young’s modulus thanks to the Hooks’ law: Average stress into the fiber: ଵ ଶ ଴,ଶହ 10000‫ 700. [...]


[...] Composite Materials Homework 2 Stress distribution and Young’s modulus of short fibers composites Academic year 2007-2008 Composite materials Homework 1 The aim of this work is to calculate the stress distribution and the elastic modulus of a glass fiber/epoxy composite with aligned short fibers. The stress distribution will be calculated by using three stress distribution models: the shear lag model with perfect interface bonding, the constant interface shear stress model with interface stress equals to the matrix yield stress and the same than the previous one but with an interface crack with a friction at the interface leading to constant shear stress Theorical background Modulus of a short fiber composite with the shear lag model First we calculate the shear lag parameter: β= 2Gm E f r 2 Where: Gm = Em 2(1 + υ ) 2 Radius of concentric cylindrical shell calculated from the expression: V f = r R2 Fiber’s radius Then we calculate the length correction factor: η = 1 2 tanh β l where l is the length of l βl the fibers. [...]

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Informations sur le doc

Date de publication
21/07/2010
Langue
anglais
Format
pdf
Type
dissertation
Nombre de pages
5 pages
Niveau
grand public

Informations sur l'auteur Thomas R. (étudiant)

Niveau
Grand public
Etude suivie
physique
Ecole, université
école...
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