Fracture Analysis of Brittle Materials Based on Nonlinear FEM and Application in Arch Dam with Fractures

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left"> </td><td align="center"><i>E</i>/GPa</td><td align="center"><i>μ</i></td><td align="center"><svg height="7.9499998" id="M116" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 7.3000002 7.9499998" width="7.3000002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M393 379q-9 -16 -28 -29q-15 -10 -23 -2q-19 19 -36 19q-21 0 -52 -38q-57 -72 -82 -126l-40 -197q-23 -3 -75 -18l-7 7q49 196 74 335q7 43 -2 43q-7 0 -30 -14.5t-47 -37.5l-16 23q37 42 82 73t67 31q41 0 15 -113l-11 -50h4q41 71 85 117t77 46q29 0 45 -26
q13 -21 0 -43z" id="x1D45F"></path></g>
</svg>/kN·m<sup>−3</sup></td><td align="center"><i>f </i></td><td align="center"><i>c</i>/MPa</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left">Foundation</td><td align="center">18</td><td align="center">0.28</td><td align="center">28</td><td align="center">1.52</td><td align="center">1.33</td></tr><tr><td align="left">Dam</td><td align="center">23.1</td><td align="center">0.2</td><td align="center">24</td><td align="center">1.4</td><td align="center">1.6</td></tr><tr><td align="left">Crack</td><td align="center">5</td><td align="center">0.3</td><td align="center">27.5</td><td align="center">1.12</td><td align="center">0.9</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Journal of Applied Mathematics

tab3

Table 3

Table 3: Fracture Analysis of Brittle Materials Based on Nonlinear FEM and Application in Arch Dam with Fractures 