Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking

<table>Hoop stress <svg height="14.7125" id="M255" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 26.0625 14.7125" width="26.0625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<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">𝜎</tspan>
</text>
<text transform="matrix(1,0,0,-1,-60.45,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝜃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-55.36,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">)</tspan>
</text>
</g>
</g>
</svg> at rebar surface and at cover surface with time <svg height="9.125" id="M256" 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

fig7

Figure 7

Figure 7: Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking 