Finite Opening of Propagating Shear Cracks

Molecular Dynamics (MD) simulations of shear-dominated crack propagation by Abraham and Gao (2000) showed that there was finite crack opening when the crack propagated at a sub-Rayleigh speed while the crack opening became negligible when the crack propagated faster than the shear wave speed. On the other hand, the classical linear dynamics theory predicted that there was no crack opening for a pure shear crack. Using the asymptotic method developed by Knowles (1981) which included the effect of geometric nonlinearity, we show that there is indeed finite crack opening even for a pure shear crack when the crack propagates at a sub-Rayleigh wave speed, but the crack opening vanishes when the crack propagates at an intersonic velocity which is above the shear wave speed and below the dilatational wave speed. Our results are consistent with what were observed in MD simulations.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Chen, Bin

Contributors dc:contributor

• Huang, Yonggang

• Applied Mechanics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3101815

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/83795