Oscillatory instability of crack propagations in quasi-static fracture

Details Oscillatory instability of crack propagations in quasi-static fracture Oscillatory instability of crack propagations in quasi-static fracture

1993-11-05

arxiv.org/abs/patt-sol/9311001v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, (Revtex), 2 figures (postscript)

Scientific paper

10.1103/PhysRevE.50.R1733

Crack propagations in quasi-static fracture are studied theoretically. The Griffith theory is applied to discuss a crack extension condition and motion of crack tips in straight propagations. Stability of the straight propagations is investigated based on the simple assumption that a curvature near the crack tip is determined by a singular shear stress. It is shown that straight propagations become unstable under ceatain conditions. Combined with boundary effects, this instability leads to an oscillatory propagation of cracks. The critical conditions are calculated quantitatively.

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