On the finite opening of intersonic shear cracks

B. Chen; Y. Huang; H. Gao; W. Yang

doi:10.1016/j.ijsolstr.2003.12.014

On the finite opening of intersonic shear cracks

B. Chen, Y. Huang^*, H. Gao, W. Yang

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article

5 Scopus citations

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	https://doi.org/10.1016/j.ijsolstr.2003.12.014
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

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Chen, B., Huang, Y., Gao, H., & Yang, W. (2004). On the finite opening of intersonic shear cracks. International Journal of Solids and Structures, 41(9-10), 2293-2306. https://doi.org/10.1016/j.ijsolstr.2003.12.014

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AU - Gao, H.

AU - Yang, W.

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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.

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