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

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Section 2<br />

high strength, fine reinforcements <strong>and</strong> a relatively large particle volume fraction are preferred<br />

[2]. However, it is difficult to take advantage <strong>of</strong> both <strong>of</strong> these requirements because they are<br />

prone to cause an inhomogeneous particle distribution [23].<br />

A number <strong>of</strong> studies have shown that during the deformation <strong>of</strong> particulate reinforced MMCs<br />

there is a progressive development <strong>of</strong> damage within the material. It has been observed that<br />

the damage tends to originate preferentially in particle clustered regions [24, 25]. Thus, one <strong>of</strong><br />

the most important microstructural features <strong>of</strong> the MMCs is the spatial distribution <strong>of</strong> the<br />

particles. In [26, 27], an Eshelby based approach was used to create a model <strong>of</strong> a clustered<br />

composite. A composite with non-uniform particle distribution was considered as a two phase<br />

material comprising regions <strong>of</strong> higher than average <strong>local</strong> volume fraction as stiffer regions<br />

within a more compliant dilutely reinforced <strong>matrix</strong>. This analysis suggests somewhat<br />

surprisingly, that a composite containing clustered particles should have a higher flow stress.<br />

It was also found that larger stresses may be expected in both the <strong>matrix</strong> <strong>and</strong> particles in<br />

clustered regions compared with a composite containing a homogeneous particle distribution.<br />

On the other h<strong>and</strong>, it is suggested in [28] that reinforcement clustering tends to reduce the<br />

composite flow stress, relative to an equi-spaced array. Zhiru et al. [29] have proposed that<br />

the <strong>matrix</strong> triaxial stresses are generally higher in clustered regions <strong>of</strong> four or more particles,<br />

thus shielding the center <strong>of</strong> the cluster from plastic flow due to the higher <strong>local</strong> levels <strong>of</strong><br />

constraint imposed on the <strong>matrix</strong>. Plastic flow is, thus, only expected in the center <strong>of</strong> the<br />

clusters once the more dilutely reinforced regions <strong>of</strong> the <strong>matrix</strong> have become sufficiently<br />

work hardened. In [30], a decrease <strong>of</strong> experimentally determined <strong>global</strong> <strong>fracture</strong> toughness<br />

with increasing degree <strong>of</strong> clustering was observed.<br />

2.4. The process <strong>of</strong> void initiation in materials with particles<br />

As well known, micro-ductile <strong>fracture</strong> consists <strong>of</strong> three stages: void nucleation, void growth,<br />

<strong>and</strong> void coalescence [31]. In ductile materials reinforced with hard second phase particles,<br />

void nucleation occurs either by particle/<strong>matrix</strong> decohesion or the particle <strong>fracture</strong><br />

mechanism. Void nucleation can determine the ductility, since the subsequent stages <strong>of</strong> void<br />

growth <strong>and</strong> coalescence can be extremely rapid (especially in the case <strong>of</strong> large ceramic<br />

particles) once the void initiation has occurred. Therefore, the full underst<strong>and</strong>ing <strong>of</strong> void<br />

initiation process is very important to predict the <strong>fracture</strong> <strong>properties</strong> <strong>of</strong> MMCs.<br />

10

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