Self-buckling of Palisade-like Cylindrical Shells under Turgor Pressure

The leaf has an internal structure called the mesophyll, which includes a structured layer called the palisade. The mesophyll is subjected to an internal, turgor, pressure that sustains the plant through its life. Inspired by the palisade mesophyll, we study the influence of internal pressure in self-weight buckling of cylindrical shells, resembling the palisade cells, via non-dimensionalized structural calculations utilizing both Saint Venant-Kirchhoff and Neo-Hookean material models. We rationalize the influence of the applied internal pressure on self-weight buckling via numerical simulations and scaling analysis, thereby obtaining a phase map summarizing the material and geometrical parameters of our system.