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Soft, amorphous solids such as tissues, foams, and emulsions are composed ofdeformable particles. However, the effect of single-particle deformability onthe collective behavior of soft solids is still poorly understood. We performnumerical simulations of two-dimensional jammed packings of explicitlydeformable particles to study the mechanical response of model soft solids. Wefind that jammed packings of deformable particles with excess shape degrees offreedom possess low-frequency quartic vibrational modes that stabilize thepackings even though they possess fewer interparticle contacts than the nominalisostatic value. Adding intra-particle constraints can rigidify the particles,but these particles undergo a buckling transition and gain an effective shapedegree of freedom when their preferred perimeter is above a threshold value. Wefind that the mechanical response of jammed packings of deformable particleswith shape degrees of freedom differs significantly from that of jammedpackings of rigid-shape particles, which emphasizes the importance of particledeformability in modelling soft solids.

Bridging particle deformability and collective response in soft solids