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

<table>Final dislocation mean free path, <svg height="11.075" id="M165" 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>, versus martensite volume fraction, <svg height="14.5625" id="M166" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 17.1875 14.5625" width="17.1875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.5625)">
<g transform="translate(72,-60.35)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑓</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.01,60.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑚</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Metallurgy

fig12

Figure 12

Figure 12: A Dislocation-Based Theory for the Deformation Hardening Behavior of DP Steels: Impact of Martensite Content and Ferrite Grain Size 