Abstract
Recent molecular dynamics simulations of dynamic crack propagation have shown that there is a finite crack opening for a shear crack propagating at a sub-Rayleigh speed, but the crack opening becomes significantly smaller once the crack tip velocity exceeds the shear wave speed. To understand this difference between the crack opening for sub-Rayleigh and intersonic shear cracks, we develop in this paper a finite deformation continuum theory incorporating the linear harmonic potential to describe the deformation of a crack in a solid with triangular lattice structure. Using the asymptotic method developed by Knowles [Eng. Fract. Mech. 15 (1981) 469], we show that even after the geometric nonlinearity of finite deformation is accounted for, the intersonic shear cracks have a vanishing crack opening displacement.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2293-2306 |
| Number of pages | 14 |
| Journal | International Journal of Solids and Structures |
| Volume | 41 |
| Issue number | 9-10 |
| DOIs | |
| State | Published - May 1 2004 |
Keywords
- Crack opening
- Intersonic crack
- Linear harmonic potential
ASJC Scopus subject areas
- Modeling and Simulation
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics