Abstract
We construct exact solutions for Mode I steady-state cracks in an ideally brittle viscoelastic triangular lattice model. Our analytic solutions for the infinite lattice are compared to numerical results for finite width systems. The issues we address include the crack velocity versus driving curve as well as the onset of additional bond breaking, signaling the emergence of complex spatio-temporal behavior. Somewhat surprisingly, the critical velocity for this transition becomes a decreasing function of the dissipation for sufficiently large values thereof. Lastly, we briefly discuss the possible relevance of our findings for experiments on mode I crack instabilities.
| Original language | English |
|---|---|
| Pages (from-to) | 583-613 |
| Number of pages | 31 |
| Journal | Journal of the Mechanics and Physics of Solids |
| Volume | 50 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2002 |
Bibliographical note
Funding Information:D.A.K. acknowledges the support of the Israel Science Foundation. The work of H.L. and L.P. is supported in part by the NSF, grant no. DMR94-15460. D.A.K. and L.P. thank Prof. A. Chorin and the Lawrence Berkeley National Laboratory for their hospitality during the initial phase of this work.
Funding
D.A.K. acknowledges the support of the Israel Science Foundation. The work of H.L. and L.P. is supported in part by the NSF, grant no. DMR94-15460. D.A.K. and L.P. thank Prof. A. Chorin and the Lawrence Berkeley National Laboratory for their hospitality during the initial phase of this work.
| Funders | Funder number |
|---|---|
| National Science Foundation | |
| Israel Science Foundation |
Keywords
- A. Crack branching and bifurcation
- A. Crack propagation and arrest
- A. Dynamic fracture