The influence of brittle boundary layers on the strength of fibrous metallic composites |
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Authors: | E Friedrich W Pompe I M Kopjov |
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Affiliation: | (1) Zentralinstitut für Festkörperphysik und Werkstofforschung der AdW der DDR, Dresden, GDR;(2) Baikov-Institute of Metallurgy an USSR, Moscow, USSR |
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Abstract: | The brittle boundary layers often caused during the production of composites or by their treatment at higher temperatures, may change the mechanical properties. On the steel wire/aluminium system the growth of the intermetallic boundary phase and its influence on the strength of the composite were investigated. Hence followed a maximum strength at small layer thicknesses. By means of fracture investigations new models were developed which allow the calculation of the dependence of strength behaviour on layer thickness.List of symbols
E
f
Young's modulus of fibre
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E
b
Young's modulus of boundary layer
-
c
external load
-
f
tensile stress in the fibre
-
m
tensile stress in the matrix
-
b
tensile stress in the boundary layer
-
uc,f,b
ultimate strength of the composite, the fibre or the boundary layer, respectively
-
averaged stress in the fibre
-
bf
shear stress in the boundary layer-fibre interface
-
0
shear strength of the boundary layer-fibre-interface
-
uf
ultimate strain of the fibre
-
fraction of the layer which has grown into the matrix
-
Weibull parameter
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–1
characteristic length of stress transfer between fibre and boundary layer
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d
diameter of the boundary layer
- 2l
length of the boundary layer segments
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r
f
fibre radius
-
u(x)
displacement field
-
v
f, b,m
volume fraction of fibres, boundary layer or matrix respectively. |
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Keywords: | |
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