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dissertation global and local fracture properties of metal matrix ...

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Section 8<br />

15-RT Specimen decrease slightly with increasing distance, r. A slight decrease is also<br />

observed for particles lying at a large angles, θ > 50 °. The particle volume fraction has no<br />

simple effect on the σ p max-values.<br />

For the different aging conditions <strong>and</strong> particle volume fractions, the computed average values<br />

<strong>of</strong> the maximum principal stresses in the particles for <strong>fracture</strong>d particles <strong>and</strong> at the interface<br />

for debonded particles show a roughly linear dependency on the composite yield strength.<br />

This can be explained, if it is assumed that the void initiation occurs at the onset <strong>of</strong> gross<br />

plastic yielding in the <strong>matrix</strong> at the location <strong>of</strong> the first particles in front <strong>of</strong> the crack tip. A<br />

rise <strong>of</strong> the σ max interf dec-values might be also related with increasing volume fraction <strong>of</strong> the<br />

spinel phase with increasing aging time at the particle/<strong>matrix</strong> interface, leading to enhanced<br />

interfacial bonding.<br />

It is shown that the distributions <strong>of</strong> strengths <strong>of</strong> ceramic reinforcements in the cast <strong>and</strong> PM<br />

MMCs is not in contradiction to the Weibull distribution. The values <strong>of</strong> the Weibull modulus,<br />

m, determined from the values <strong>of</strong> the particles strength, are in good accordance with values<br />

given in literature.<br />

A good correlation is found between the <strong>local</strong> Ji-values evaluated from the average <strong>of</strong> the<br />

<strong>local</strong> CODi-values <strong>and</strong> the <strong>global</strong> Ji-values determined from the <strong>fracture</strong> mechanics tests for<br />

all investigated materials, excepting the PM MMCs. This is explained when it is assumed that<br />

the <strong>fracture</strong> <strong>of</strong> one particle might trigger the <strong>fracture</strong> <strong>of</strong> the neighboring particles within a<br />

certain region so that the area <strong>of</strong> <strong>local</strong> crack extension is larger than the resolution <strong>of</strong> the<br />

potential drop technique. The larger particle size (100 µm, compared to 10 µm for the cast<br />

MMC) facilitates this effect.<br />

The proposed procedure is applied to the MnS-inclusions in the mild steel St37 to study the<br />

effect <strong>of</strong> the inclusion size on the <strong>local</strong> <strong>fracture</strong> <strong>properties</strong> <strong>and</strong> <strong>local</strong> conditions for void<br />

initiation, as well. It is shown that the CODvi-values strongly decrease with increasing<br />

diameter <strong>of</strong> MnS-inclusions. A clear reduction <strong>of</strong> the σ interf max-values with increasing diameter<br />

<strong>of</strong> the MnS-inclusions is found, as well.<br />

It is shown that equal channel angular pressing (ECAP) leads to an increase <strong>of</strong> the uniformity<br />

<strong>of</strong> the particle distribution in PM MMCs with small particle sizes <strong>and</strong> clustered particle<br />

distribution. The model proposed by Tan <strong>and</strong> Zhang [23] about the estimation <strong>of</strong> the critical<br />

value <strong>of</strong> the particle size which is re quired for a homogeneous particle distribution in the<br />

<strong>matrix</strong> is extended to the case <strong>of</strong> a combination <strong>of</strong> extrusion <strong>and</strong> ECAP. A good accordance<br />

between the modified Tan <strong>and</strong> Zhang model <strong>and</strong> the quantitative analysis <strong>of</strong> the particle<br />

distribution by the quadrat method is found.<br />

99

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