Bridging particle deformability and collective response in soft solids

Abstract

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

arXiv comment12 pages total, 6 main figures, 4 appendices, 5 appendix figures

References in corpus (28)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• A density-independent glass transition in biological tissues
• Topological Boundary Modes in Isostatic Lattices
• Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
• Nonlinear conduction via solitons in a topological mechanical insulator
• Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
• Finite-Size Scaling at the Jamming Transition
• Stress Propagation through Frictionless Granular Material
• Critical and non-critical jamming of frictional grains
• Jamming of Deformable Polygons
• Jamming in Systems Composed of Frictionless Ellipse-Shaped Particles
• Verticalization of bacterial biofilms
• Multicellular rosettes drive fluid-solid transition in epithelial tissues
• Clogging of soft particles in 2D hoppers
• Isostaticity at Frictional Jamming
• Hypostatic jammed packings of frictionless nonspherical particles
• Universality of jamming of non-spherical particles
• Constraints and vibrations in static packings of ellipsoidal particles
• Tuning Jammed Frictionless Disk Packings from Isostatic to Hyperstatic
• The role of deformability in determining the structural and mechanical properties of bubbles and emulsions
• Flow of deformable droplets: discontinuous shear thinning and velocity oscillations
• Can the packing efficiency of binary hard spheres explain the glass-forming ability of bulk metallic glasses?
• Dense bubble flow in a silo: an unusual flow of a dispersed medium
• Rods are less fragile than spheres: Structural relaxation in dense liquids composed of anisotropic particles
• Pressure-dependent shear response of jammed packings of spherical particles
• Shear response of granular packings compressed above jamming onset
• Depletion attraction favors the elastic response of emulsions flowing in a constriction
• Contact network changes in ordered and disordered disk packings

Cited by in corpus (9)

• The structural, vibrational, and mechanical properties of jammed packings of deformable particles in three dimensions
• Localized growth drives spongy mesophyll morphogenesis
• Designing the pressure-dependent shear modulus using tessellated granular metamaterials
• Mechanical Plasticity of Cell Membranes Enhances Epithelial Wound Closure
• Mechanical response of packings of non-spherical particles: A case study of 2D packings of circulo-lines
• Rigidity transition of a highly compressible granular medium
• Computational modeling of the physical features that influence breast cancer invasion into adipose tissue
• Microscopic Reversibility and Emergent Elasticity in Ultrastable Granular Systems
• Theory of rigidity and numerical analysis of density of states of two-dimensional amorphous solids with dispersed frictional grains in the linear response regime