Beyond the “principle of Local Symmetry”: Derivation of a General Crack Propagation Law

Derivation of a general three-dimensional crack-propagation law: A generalization of the principle of local symmetry.

Mixed Mode Crack Propagation of Zirconia/Nickel Functionally Graded Materials

Zirconia-nickel functionally graded materials were obtained by powder metallurgy technique. The microstructure, residual stress, fracture toughness and Vickers hardness were investigated. Mixed-mode fracture response of YSZ /Ni functionally graded materials was examined utilizing the three point bending test and finite element method (Cosmos/M 2.7). The results show that the stress intensity fac...

Crack Growth Laws from Symmetry

Reviewing work done in collaboration with Jennifer Hodgdon, we derive the most general crack growth law allowed by symmetry for mixed-mode three-dimensional fracture. We do so using the system developed in condensed matter physics to derive new laws that emerge on long length and time scales. In our derivation, we provide a symmetry interpretation for the three modes of fracture, we rederive th...

Laws of crack motion and phase-field models of fracture

Recently proposed phase-field models offer self-consistent descriptions of brittle fracture. Here, we analyze these theories in the quasistatic regime of crack propagation. We show how to derive the laws of crack motion either by using solvability conditions in a perturbative treatment for slight departure from the Griffith threshold, or by generalizing the Eshelby tensor to phase-field models....

When and how do cracks propagate?

Crack propagation in an isotropic 2d brittle material is widely viewed as the interplay between two separate criteria. Griffith’s cap on the energy release rate along the crack path decides when the crack propagates, while the Principle of Local Symmetry PLS decides how, that is, in which direction, that crack propagates. The PLS, which essentially predicts mode I propagation, cannot possibly h...