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.006a" src="https://static.hindawi.com/articles/mpe/volume-2014/646514/figures/646514.fig.006a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>4141 nodes; with spurious cracking</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="646514.fig.006b" src="https://static.hindawi.com/articles/mpe/volume-2014/646514/figures/646514.fig.006b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>16281 nodes; with spurious cracking</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="646514.fig.006c" src="https://static.hindawi.com/articles/mpe/volume-2014/646514/figures/646514.fig.006c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>4141 nodes; without spurious cracking</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="646514.fig.006d" src="https://static.hindawi.com/articles/mpe/volume-2014/646514/figures/646514.fig.006d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>16281 nodes; without spurious cracking</td></tr></table></td></tr></table>

<table>Crack pattern for the crack branching problem.</table>

Mathematical Problems in Engineering

fig6

Figure 6

Figure 6: Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel 