The surface-forming energy release rate based fracture criterion for elastic–plastic crack propagation

Quasi-Static Crack Propagation by Griffith’s Criterion

We consider the propagation of a crack in a brittle material along a prescribed crack path and define a quasi-static evolution by means of stationary points of the free energy. We show that this evolution satisfies Griffith’s criterion in a suitable form which takes into account both stable and unstable propagation, as well as an energy balance formula which accounts for dissipation in the unst...

A Plasticity Criterion for Mixed Mode Fracture Initiation with Crack Surface Frictional Characteristics Under Compression

A new plasticity criterion for mixed mode crack initiation angles under compression is presented, based on the characteristics of the plastic core region surrounding the crack tip with crack surface friction. The shape and size of the plastic core region were thoroughly analyzed under compression and the non-dimensional variable radius of the plastic core region for mixed mode compressive fract...

Thermal fracture as a framework for quasi-static crack propagation

We address analytically and numerically theproblemofcrackpathprediction in themodelsystem of a crack propagating under thermal loading.We show that one can explain the instability from a straight to a wavy crack propagation by using only the principle of local symmetry and theGriffith criterion.We then argue that the calculations of the stress intensity factors can be combinedwith thestandardcr...

Brittle Crack Propagation Based on an Optimal Energy Balance

Buoyancy-driven crack propagation: the limit of large fracture toughness