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We explore theoretically the interplay between shear banding and edgefracture in complex fluids, by performing a detailed simulation study withintwo constitutive models: the Johnson-Segalman model and the Giesekus model. Weconsider separately parameter regimes in which the underlying constitutivecurve is monotonic and non-monotonic, such that the bulk flow (in the absenceof any edge effects) is respectively homogeneous and shear banded. Phasediagrams of the levels of edge disturbance and of bulk (or quasi-bulk) shearbanding are mapped as a function of the surface tension of the fluid-airinterface, the wetting angle where this interface meets the walls of the flowcell, and the imposed shear rate. In particular, we explore in more detail thebasic result recently announced in Hemingway et al. (2018): that precursors toedge fracture can induce quasi-bulk shear banding. We also appraise analyticalpredictions that shear banding can induce edge fracture, Skorski and Olmsted(2011). Although a study of remarkable early insight, that study made somestrong assumptions about the nature of the "base state", which we examine usingdirect numerical simulation. The basic prediction that shear banding can causeedge fracture remains valid, but with qualitatively modified phase boundaries.

Interplay of edge fracture and shear banding in complex fluids