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The influence of brittle boundary layers on the strength of fibrous metallic composites
Authors:E Friedrich  W Pompe  I M Kopjov
Affiliation:(1) Zentralinstitut für Festkörperphysik und Werkstofforschung der AdW der DDR, Dresden, GDR;(2) Baikov-Institute of Metallurgy an USSR, Moscow, USSR
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 ldquosteel wire/aluminiumrdquo 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 - E b Young's modulus of boundary layer - sgr c external load - sgr f tensile stress in the fibre - sgr m tensile stress in the matrix - sgr b tensile stress in the boundary layer - sgr uc,f,b ultimate strength of the composite, the fibre or the boundary layer, respectively - 
$${}^{\bar \sigma }{\text{f}}$$
averaged stress in the fibre - tau bf shear stress in the boundary layer-fibre interface - tau 0 shear strength of the boundary layer-fibre-interface - epsi uf ultimate strain of the fibre - lambda fraction of the layer which has grown into the matrix - beta Weibull parameter - eegr –1 characteristic length of stress transfer between fibre and boundary layer - d diameter of the boundary layer - 2l length of the boundary layer segments - r f fibre radius - u(x) displacement field - v f, b,m volume fraction of fibres, boundary layer or matrix respectively.
Keywords:
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