Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="646514.fig.009a" src="https://static.hindawi.com/articles/mpe/volume-2014/646514/figures/646514.fig.009a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>10201 nodes; with spurious cracking</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="646514.fig.009b" src="https://static.hindawi.com/articles/mpe/volume-2014/646514/figures/646514.fig.009b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>10201 nodes; without spurious cracking</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="646514.fig.009c" src="https://static.hindawi.com/articles/mpe/volume-2014/646514/figures/646514.fig.009c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>40804 nodes; with spurious cracking</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="646514.fig.009d" src="https://static.hindawi.com/articles/mpe/volume-2014/646514/figures/646514.fig.009d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>40804 nodes; without spurious cracking</td></tr></table></td></tr></table>

<table>Final crack path of the Kalthoff problem.</table>

Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel 