Arbitrary crack propagation in multi-phase materials using the finite volume method

An arbitrary crack propagation model using cell-centre finite volume based method is presented. Crack growth in an elastic solid, across an interface perpendicular to the initial crack path and into a second elastic solid is analysed. Crack initiation and the subsequent path of propagation are shown to arise naturally out of the selection of appropriate cohesive parameters. It is shown that the allowable crack propagation path is restricted by the underlying mesh. Results are presented for a number of values of interfacial strength and ratios of elastic properties between the two elastic solids. For higher values of interfacial strength, the crack is shown to propagate straight through the interface, while for lower values of interfacial strength, the crack is shown to change direction and propagate along the interface. It is shown that with careful selection of material and interface parameters it is possible to arrest a propagating crack at the interface. The method represents a useful step towards the prediction of crack propagation in complex structures.

► An arbitrary crack propagation model using cell-centre finite volume method is presented.
► Crack growth across a perpendicular material interface is analysed using cohesive zone model.
► Crack will deflect into the interface if the cohesive strength is lower than critical value.
► The predicted results compare well with theory.