The Breakdown of Linear Elastic Fracture Mechanics near the Tip of a Rapid Crack

Physics – Condensed Matter – Materials Science

Scientific paper

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4 pages, 4 figures, first of a two-paper series (experiments); no change in content, minor textual revisions

Scientific paper

10.1103/PhysRevLett.101.264301

We present high resolution measurements of the displacement and strain fields near the tip of a dynamic (Mode I) crack. The experiments are performed on polyacrylamide gels, brittle elastomers whose fracture dynamics mirror those of typical brittle amorphous materials. Over a wide range of propagation velocities ($0.2-0.8c_s$), we compare linear elastic fracture mechanics (LEFM) to the measured near-tip fields. We find that, sufficiently near the tip, the measured stress intensity factor appears to be non-unique, the crack tip significantly deviates from its predicted parabolic form, and the strains ahead of the tip are more singular than the $r^{-1/2}$ divergence predicted by LEFM. These results show how LEFM breaks down as the crack tip is approached.

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