12 February 2021 2 10K Report

There are two plates with horizontal center crack, one with crack length of a with the other with a+da. The bottoms are fixed while the tops are under the same displacement load. For intuition, the second configuration is from the first one with crack propogation. Assuming the load is applied first and then crack propogates. During this proecdure, there is no extra external work but the energy dissipates in the second one. If the displacement is fixed, the whole system should have less force to propagte crack in the second configuration. This is to say, the second configuration is more stable and thus it should have lower stress intensity factor and lower stress concentration near the crack tip. Also, since the total stiffness is decreasing due to longer crack, the raction force should also decrease.

But from numerical simulation, the stress concentration and reaction force on boudanry are both higher in the second configuration. Both model has the same geomtry, mesh, load except the crack length. The crack is simulated by decoupling the correspoding node pairs of two patches.

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