The dynamics of cracks in torn thin sheets

Details The dynamics of cracks in torn thin sheets The dynamics of cracks in torn thin sheets

2010-02-22

arxiv.org/abs/1002.4207v4

Physical Review E 81, 066103 (2010)

Physics

Condensed Matter

Materials Science

7 pages, 11 figures

Scientific paper

Motivated by recent experiments, we present a study of the dynamics of cracks in thin sheets. While the equations of elasticity for thin plates are well known, there remains the question of path selection for a propagating crack. We invoke a generalization of the principle of local symmetry to provide a criterion for path selection and demonstrate qualitative agreement with the experimental findings. The nature of the singularity at the crack tip is studied with and without the interference of nonlinear terms.

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