Dynamics of cracks in torn thin sheets.
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.
Cohen
Yossi
Y
Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
Procaccia
Itamar
I