Modelling of multiple crack-branching from Mode-I crack-tip in isotropic solids

An energy-based fracture model for multiple crack-branching, or crack-tip shattering, has been proposed and formulized for the Mode-I crack-tip condition in isotropic solids. An analytical solution of the energy release rate for multiple crack-branching from a Mode-I crack tip has been established. The cracking angles have also been analytically derived. It shows that the Griffith’s theorem and conservation law can be applied to both the conventional Mode I crack extension and multiple crack-branching. The multiple crack-branching phenomena predicted by the present model are in good agreement with the experimental observations reported in the literature.

► An energy-based model for multiple crack-branching has been developed and formulized.
► The cracking angles for multiple crack-branching have been derived.
► We validate theoretically the possibility for multiple crack-branching.
► The branching toughness for multiple crack-branching has been defined.