Numerical search for morphologies providing ultra high elastic stiffness in filled rubbers

Gusev, Andrei A.; Rozman, Michael G.

doi:10.1016/s1089-3156(99)00024-0

Cited by 26 publications

(17 citation statements)

References 3 publications

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“…Taking the perfectly dispersed sample as reference, the modulus increases up to a certain degree of aggregation (loosely connected network of fillers) but then decreases when this proceeds beyond a certain point, when very large and compact aggregates start to appear. A certain dependence of the small-strain elastic modulus of polymer−filler composites was also seen in FEM simulations by Gusev et al, where however it was observed to be much stronger for fiber-reinforced than for particle-reinforced composites.…”

Section: Conclusion: What Is the Role Of Particle−particle Interactions?supporting

confidence: 58%

“…These molecular-level studies are complemented by continuum-level simulations using, for example, the finite element method (FEM) . This allows a fast and reliable estimate of the elastic moduli of a composite from the knowledge of the sample morphology and the elastic properties of the individual phases and its common assumption of constancy and transferability of the properties of the individual phases 6,7 may be untenable close to the rubber−filler interface.…”

Section: Introductionmentioning

confidence: 99%

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Computational Experiments on Filled Rubber Viscoelasticity: What Is the Role of Particle−Particle Interactions?

2006

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We present the results of computer simulations of model polymer networks containing stiff and roughly spherical colloidal particles at 20% volume fraction. We employ the coarse-grained “dissipative particle dynamics” model (DPD). The filler particles may be either well dispersed or aggregated, and the strength of their interaction can be tuned by changing the parameters of the polymer−filler nonbonded potentials. By performing nonequilibrium molecular dynamics simulations, we are able to probe directly the viscoelastic behavior of the composites under oscillatory shear deformations of variable amplitude and frequency. The strength of the particle−particle interactions and sample morphology has a certain effect on the small-strain moduli. In some cases, we also observe a nonlinear viscoelastic behavior as a function of increasing shear amplitude. However, the characteristics of this nonlinearity are different from the experimentally observed “Payne effect”. Therefore, the origin of this effect does not seem to be entirely and directly related to particle−particle interactions, as is frequently assumed.

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Section: Conclusion: What Is the Role Of Particle−particle Interactions?supporting

confidence: 58%

Section: Introductionmentioning

confidence: 99%

Computational Experiments on Filled Rubber Viscoelasticity: What Is the Role of Particle−Particle Interactions?

2006

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“…More details on the generation of periodic morphology-adaptive meshes and the calculation of effective elastic properties can be found in Refs. 7 It was found that the effective transverse Young's modulus of all structures studied decreased gradually to zero at the percolation limit as the void fraction increased, with the square structure being the stiffest ͑when loaded in the x or y direction in Fig. 1͒ and the random the weakest ͓Fig.…”

Section: Numericalmentioning

confidence: 93%

Void-containing materials with tailored Poisson’s ratio

Goussev

Richner

Rozman³

et al. 2000

Journal of Applied Physics

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Assuming square, hexagonal, and random packed arrays of nonoverlapping identical parallel cylindrical voids dispersed in an aluminum matrix, we have calculated numerically the concentration dependence of the transverse Poisson's ratios. It was shown that the transverse Poisson's ratio of the hexagonal and random packed arrays approached 1 upon increasing the concentration of voids while the ratio of the square packed array along the principal continuation directions approached 0. Experimental measurements were carried out on rectangular aluminum bricks with identical cylindrical holes drilled in square and hexagonal packed arrays. Experimental results were in good agreement with numerical predictions. We then demonstrated, based on the numerical and experimental results, that by varying the spatial arrangement of the holes and their volume fraction, one can design and manufacture voided materials with a tailored Poisson's ratio between 0 and 1. In practice, those with a high Poisson's ratio, i.e., close to 1, can be used to amplify the lateral responses of the structures while those with a low one, i.e., close to 0, can largely attenuate the lateral responses and can therefore be used in situations where stringent lateral stability is needed.

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“…The references above all provide evidence of this realization, and the various approaches to build a set of predictive tools. These extended scale properties of the ensemble of nano-particles are highly dependent on process history and are rarely isotropic [26,27] . Predictive tools for the correlation between the characteristics of the network (e. g. volume fraction of rods, distribution of size and shape of rods, and orientational distribution, both local and global, of rods), processing history, and the anisotropy of the macroscopic properties, are critical to engineering these responses.…”

mentioning

confidence: 99%

A Strategy for Dimensional Percolation in Sheared Nanorod Dispersions

et al. 2007

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As the aspect ratio of a unit (here, a stiff high-aspect-ratio rod) increases, the tendency increases for ensembles of these units to form hierarchical structures on scales quite removed from that of the single unit (particles). This is due in large part to geometrical packing considerations (based on excluded volume analysis) arising from the non-spherical shape. Nematic ordering of rod ensembles [1] is one illustration of this phenomenon, and percolation of rod or platelet inclusions is another. It happens that for thin rods, equilibrium percolation of isotropic distributions occurs well below the nematic transition. The introduction of a flow-induced distribution function leads one out of the highly studied domain of universal scaling laws for equilibrium, isotropic percolation thresholds. For materials processing applications, one is compelled to explore the impact of volume fraction of particles beyond the threshold of any desirable percolation-induced property transition and ascertain the role of anisotropy on macroscopic property tensors. This is required for practical applications in order to avoid statistical fluctuations across the preferred side of the threshold.There is a large quantity of literature on the onset of percolation among rods or "sticks" in two and three space dimensions, including seminal contributions of Balberg and collaborators [3,8,9]

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Numerical search for morphologies providing ultra high elastic stiffness in filled rubbers

Cited by 26 publications

References 3 publications

Computational Experiments on Filled Rubber Viscoelasticity: What Is the Role of Particle−Particle Interactions?

Computational Experiments on Filled Rubber Viscoelasticity: What Is the Role of Particle−Particle Interactions?

Void-containing materials with tailored Poisson’s ratio

A Strategy for Dimensional Percolation in Sheared Nanorod Dispersions

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