  The response to shear of the dense soft solids features a stress overshoot
and a persistent shear banding before reaching a homogeneously flowing state.
In 3D large scale simulations we analyze the time required for the onset of
homogeneous flow, the normal stresses and structural signatures at different
shear rates and in different flow geometries, finding that the stress
overshoot, the shear band formation and its persistence are controlled by the
presence of overconstrained microscopic domains in the initially solid samples.
Being able to identify such domains in our model by prevalently icosahedrally
packed regions, we show that they allow for stress accumulation during the
stress overshoot and that their structural reorganization controls the
emergence and the persistence of the shear banding.
