The Stiffness of Syntactic Metal-Matrix Composites: A Statistical Model

<table>Syntactic composites stiffness as predicted by this model (<a href="https://static.hindawi.com/articles/isrn/volume-2011/510474/figures/#EEq4">4</a>) and Toda’s model (<a href="https://static.hindawi.com/articles/isrn/volume-2011/510474/figures/#EEq6">6</a>), when the same microballoons moduli <svg height="14.3625" id="M62" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 17.049999 14.3625" width="17.049999" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑏</tspan>
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</svg> are used in either model and <svg height="14.9" id="M63" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 88.8125 14.9" width="88.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9)">
<g transform="translate(72,-60.08)">
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<tspan style="font-size: 12.50px; " x="0" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">≤</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑏</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">≤</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.405136" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="27.656635" y="0">2</tspan>
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International Scholarly Research Notices

fig2

Figure 2

Figure 2: The Stiffness of Syntactic Metal-Matrix Composites: A Statistical Model 