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We study elasticity-driven morphological transitions of soft spherical coreshell structures in which the core can be treated as an isotropic elasticcontinuum and the surface or shell as a tensionless liquid layer, whose elasticresponse is dominated by bending. To generate the transitions, we consider thecase where the surface area of the liquid layer is increased for a fixed amountof interior elastic material. We find that generically there is a criticalexcess surface area at which the isotropic sphere becomes unstable to buckling.At this point it adopts a lower symmetry wrinkled structure that can bedescribed by a spherical harmonic deformation. We study the dependence of thebuckled sphere and critical excess area of the transition on the elasticparameters and size of the system. We also relate our results to recentexperiments on the wrinkling of gel-filled vesicles as their interior volume isreduced. The theory may have broader applications to a variety of relatedstructures from the macroscopic to the microscopic, including the wrinkling ofdried peas, raisins, as well as the cell nucleus.

Shape transitions in soft spheres regulated by elasticity