A theoretical analysis is carried out to find critical parameters for pattern selection in core–shell soft cylinders.
A 3D finite element model is developed for post-buckling analysis from a quantitative standpoint.
Tracing of surface mode transitions is performed by a path-following continuation technique.
Transition from axisymmetric modes to non-axisymmetric diamond-like patterns is captured.
Curvature and modulus effects on pattern selection are quantified and the phase diagram is drawn.