Slow Crack Propagation in Heterogeneous Materials

Details Slow Crack Propagation in Heterogeneous Materials Slow Crack Propagation in Heterogeneous Materials

2010-10-27

arxiv.org/abs/1010.5639v1

Phys. Rev. Lett. 96, 175502 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.96.175502

Statistics and thermally activated dynamics of crack nucleation and propagation in a two-dimensional heterogeneous material containing quenched randomly distributed defects are studied theoretically. Using the generalized Griffith criterion we derive the equation of motion for the crack tip position accounting for dissipation, thermal noise and the random forces arising from the defects. We find that aggregations of defects generating long-range interaction forces (e.g., clouds of dislocations) lead to anomalously slow creep of the crack tip or even to its complete arrest. We demonstrate that heterogeneous materials with frozen defects contain a large number of arrested microcracks and that their fracture toughness is enhanced to the experimentally accessible time scales.

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