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 |
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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
Cite this
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On the finite opening of intersonic shear cracks. / Chen, B.; Huang, Y.; Gao, H.; Yang, W.
In: International Journal of Solids and Structures, Vol. 41, No. 9-10, 01.05.2004, p. 2293-2306.Research output: Contribution to journal › Article
TY - JOUR
T1 - On the finite opening of intersonic shear cracks
AU - Chen, B.
AU - Huang, Y.
AU - Gao, H.
AU - Yang, W.
PY - 2004/5/1
Y1 - 2004/5/1
N2 - 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.
AB - 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.
KW - Crack opening
KW - Intersonic crack
KW - Linear harmonic potential
UR - http://www.scopus.com/inward/record.url?scp=1842431733&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=1842431733&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2003.12.014
DO - 10.1016/j.ijsolstr.2003.12.014
M3 - Article
VL - 41
SP - 2293
EP - 2306
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 9-10
ER -