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The dynamics of microcapsules in steady shear flow was studied using atheoretical approach based on three variables: The Taylor deformation parameter$\alpha_{\rm D}$, the inclination angle $\theta$, and the phase angle $\phi$ ofthe membrane rotation. It is found that the dynamic phase diagram shows aremarkable change with an increase in the ratio of the membrane shear andbending elasticities. A fluid vesicle (no shear elasticity) exhibits threedynamic modes: (i) Tank-treading (TT) at low viscosity $\eta_{\rm {in}}$ ofinternal fluid ($\alpha_{\rm D}$ and $\theta$ relaxes to constant values), (ii)Tumbling (TB) at high $\eta_{\rm {in}}$ ($\theta$ rotates), and (iii) Swinging(SW) at middle $\eta_{\rm {in}}$ and high shear rate $\dot\gamma$ ($\theta$oscillates). All of three modes are accompanied by a membrane ($\phi$)rotation. For microcapsules with low shear elasticity, the TB phase with no$\phi$ rotation and the coexistence phase of SW and TB motions are induced bythe energy barrier of $\phi$ rotation. Synchronization of $\phi$ rotation withTB rotation or SW oscillation occurs with integer ratios of rotationalfrequencies. At high shear elasticity, where a saddle point in the energypotential disappears, intermediate phases vanish, and either $\phi$ or $\theta$rotation occurs. This phase behavior agrees with recent simulation results ofmicrocapsules with low bending elasticity.

Dynamic Modes of Microcapsules in Steady Shear Flow: Effects of Bending and Shear Elasticities