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 Title: Finite Opening of Propagating Shear Cracks Author(s): Chen, Bin Doctoral Committee Chair(s): Huang, Yonggang Department / Program: Mechanical Engineering Discipline: Mechanical Engineering Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Applied Mechanics Abstract: 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. Issue Date: 2003 Type: Text Language: English Description: 47 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003. URI: http://hdl.handle.net/2142/83795 Other Identifier(s): (MiAaPQ)AAI3101815 Date Available in IDEALS: 2015-09-25 Date Deposited: 2003
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