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The rheology of non-dilute dispersions of highly deformable viscoelastic particles in Newtonian fluids

Abstract: We present a model for the rheological behaviour of non-dilute suspensions of initially spherical viscoelastic particles in viscous fluids under uniform Stokes flow conditions. The particles are assumed to be neutrally buoyant Kelvin–Voigt solids undergoing time-dependent finite deformations and exhibiting generalized neo-Hookean behaviour in their purely elastic limit. We investigate the effects of the shape dynamics and constitutive properties of the viscoelastic particles on the macroscopic rheological behaviour of the suspensions.

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Constitutive modeling of hyperelastic solids reinforced by spheroidal particles under large deformations

This paper presents a homogenization-based constitutive model for the mechanical behavior of particle-reinforced elastomers with random microstructures subjected to finite deformations. The model is based on a recently developed homogenization method (Avazmohammadi and Ponte Castaneda 2013; J. Elasticity 112, 1828–1850) for two-phase, hyperelastic composites, and is able to directly account for the shape, orientation, and concentration of the particles.

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Effective behavior of porous elastomers containing aligned spheroidal voids


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Overall Mechanical Response of Particle-Reinforced Elastomers at Finite Strains

[img_assist|nid=15079|title=Elastomers Reinforced by Spherical Particles Under Different Loading Conditions|desc=|link=none|align=left|width=300|height=264]Abstract An approximate homogenization method is proposed and used to obtain estimates for the effective constitutive behavior and associated microstructure evolution in hyperelastic composites undergoing finite-strain deformations. The method yields a constitutive relation accounting for the evolution of characteristic features of the underlying microstructure in the composites, when subjected to large deformations.

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