Evaluate the Impact of Cold Wave on Face Slab Cracking Using Fuzzy Finite Element Method

<table>Contour plot of the membership function of stress <svg height="12.7375" id="M136" style="vertical-align:-3.43848pt" version="1.1" viewbox="0 0 65.400002 12.7375" width="65.400002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,8.387)"><path d="M355 450h248l-21 -91h-176q8 -17 26 -32t34 -25.5t28.5 -33.5t12.5 -56q0 -91 -82 -157q-82 -65 -193 -65q-89 0 -138.5 47.5t-49.5 129.5q0 111 80 194q40 41 100.5 65t130.5 24zM391 208v1q0 54 -14 88t-45 62q-68 0 -120 -55t-52 -149q0 -69 20.5 -97t67.5 -28
q59 0 101 56t42 122z" id="x1D748"></path></g>
<g transform="matrix(.012,-0,0,-.012,10.125,12.475)"><path d="M713 296l-5 -25q-47 -7 -59 -20t-23 -72l-15 -79q-9 -48 -3 -74q-15 -3 -55 -13t-63 -15t-59.5 -10t-70.5 -5q-149 0 -243 80t-94 220q0 169 127.5 276.5t336.5 107.5q91 0 206 -36l-10 -165l-29 -1q1 85 -47.5 126t-146.5 41q-153 0 -243.5 -97t-90.5 -242
q0 -122 68.5 -198.5t188.5 -76.5q121 0 139 75l20 86q13 58 -1.5 70.5t-99.5 20.5l5 26h267z" id="x1D43A"></path></g>
<g transform="matrix(.017,-0,0,-.017,23.137,8.387)"><path d="M535 230h-212v-233h-58v233h-213v50h213v210h58v-210h212v-50z" id="x2B"></path></g><g transform="matrix(.017,-0,0,-.017,36.889,8.387)"><path d="M355 450h248l-21 -91h-176q8 -17 26 -32t34 -25.5t28.5 -33.5t12.5 -56q0 -91 -82 -157q-82 -65 -193 -65q-89 0 -138.5 47.5t-49.5 129.5q0 111 80 194q40 41 100.5 65t130.5 24zM391 208v1q0 54 -14 88t-45 62q-68 0 -120 -55t-52 -149q0 -69 20.5 -97t67.5 -28
q59 0 101 56t42 122z" id="x1D748"></path></g>
<g transform="matrix(.012,-0,0,-.012,46.962,12.475)"><path d="M1004 650l-6 -29q-54 -6 -71 -19.5t-51 -74.5l-271 -539h-33l-98 506h-3l-258 -506h-30l-78 532q-10 67 -21.5 80t-66.5 21l6 29h241l-8 -29l-26 -5q-34 -6 -41 -16t-3 -47l59 -425h4l251 510h31l102 -510h2q150 299 198 423q14 40 8.5 48.5t-47.5 16.5l-28 5l7 29h231z
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</svg> (in dam axis direction) of face slab surface at the elevation 2003.0 m.</table>

Mathematical Problems in Engineering

fig11

Figure 11

Figure 11: Evaluate the Impact of Cold Wave on Face Slab Cracking Using Fuzzy Finite Element Method 