A Dislocation-Based Theory for the Deformation Hardening Behavior of DP Steels: Impact of Martensite Content and Ferrite Grain Size

<table>DP500 (B3): mobile dislocation mean free path <svg height="13.45" id="M124" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 24.975 13.45" width="24.975" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.45)">
<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑠</tspan>
<tspan style="font-size: 12.50px; " x="5.5013199" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="9.6648188" y="0">𝜀</tspan>
<tspan style="font-size: 12.50px; " x="15.716271" y="0">)</tspan>
</text>
</g>
</g>
</svg>, starting from an initial value <svg height="10.925" id="M125" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 13.1 10.925" width="13.1" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑠</tspan>
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<text transform="matrix(1,0,0,-1,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
</g>
</g>
</svg>, decreasing to <svg height="11.075" id="M126" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 13.1 11.075" width="13.1" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.075)">
<g transform="translate(72,-63.14)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑠</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">0</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Metallurgy

fig9

Figure 9

Figure 9: A Dislocation-Based Theory for the Deformation Hardening Behavior of DP Steels: Impact of Martensite Content and Ferrite Grain Size 