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 › peer-review

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 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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10.1016/j.ijsolstr.2003.12.014

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title = "On the finite opening of intersonic shear cracks",

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.",

keywords = "Crack opening, Intersonic crack, Linear harmonic potential",

author = "B. Chen and Y. Huang and H. Gao and W. Yang",

note = "Funding Information: Y.H. acknowledges the support from the Office of Naval Research (grant #N00014-01-1-0205, program officer Dr. Y.D.S. Rajapakse), Alexander von Humboldt Foundation, ASCI Center for Simulation of Advanced Rockets at the University of Illinois supported by US Department of Energy through the University of California under subcontract B523819, and NSFC. Y.H. and H.G. also acknowledge the support from National Science Foundation (grant #CMS0103257). W.Y. acknowledges the support from NSFC.",

year = "2004",

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doi = "10.1016/j.ijsolstr.2003.12.014",

language = "English (US)",

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AU - Chen, B.

AU - Huang, Y.

AU - Gao, H.

AU - Yang, W.

N1 - Funding Information: Y.H. acknowledges the support from the Office of Naval Research (grant #N00014-01-1-0205, program officer Dr. Y.D.S. Rajapakse), Alexander von Humboldt Foundation, ASCI Center for Simulation of Advanced Rockets at the University of Illinois supported by US Department of Energy through the University of California under subcontract B523819, and NSFC. Y.H. and H.G. also acknowledge the support from National Science Foundation (grant #CMS0103257). W.Y. acknowledges the support from NSFC.

PY - 2004/5

Y1 - 2004/5

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

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EP - 2306

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 9-10

ER -

On the finite opening of intersonic shear cracks

Abstract

Keywords

ASJC Scopus subject areas

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