Numerical approaches to the modelling of quasi-brittle crack propagation

From rate-dependent to quasi-static brittle crack propagation

On the base of many experimental results, e.g. [18], [19], [21], [12], the object of our analysis is a rate-dependent model for the propagation of a crack in brittle materials. Our goal is a mathematical study of the evolution equation in the geometries of the ’Single Edge Notch Tension’ (SENT) and of the ’Compact Tension’ (ASTM-CT). Besides existence and uniqueness, emphasis is placed on the r...

An Einstein Model of Brittle Crack Propagation

We propose a minimal nonlinear model of brittle crack propagation by considering only the motion of the crack-tip atom. The model captures many essential features of steady-state crack velocity and is in excellent quantitative agreement with many-body dynamical simulations. The model exhibits lattice-trapping. For loads just above this, the crack velocity rises sharply, reaching a limiting valu...

Energy minimizing brittle crack propagation II

Multiscale failure modelling of quasi - brittle materials

Numerical Study on Crack Propagation in Brittle Jointed Rock Mass Influenced by Fracture Water Pressure

The initiation, propagation, coalescence and failure mode of brittle jointed rock mass influenced by fissure water pressure have always been studied as a hot issue in the society of rock mechanics and engineering. In order to analyze the damage evolution process of jointed rock mass under fracture water pressure, a novel numerical model on the basis of secondary development in fast Lagrangian a...