Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking

<table>Hoop stiffness reduction factor <svg height="13.55" id="M257" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 19.25 13.55" width="19.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝛽</tspan>
<tspan style="font-size: 12.50px; " x="11.12767" y="0">)</tspan>
</text>
</g>
</g>
</svg> at rebar surface and at cover surface with time <svg height="9.125" id="M258" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 5.0124998 9.125" width="5.0124998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.125)">
<g transform="translate(72,-64.7)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑡</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Applied Mathematics

fig8

Figure 8

Figure 8: Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking 