2017
DOI: 10.1007/s00397-017-1012-5
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Dependence of nonlinear elasticity on filler size in composite polymer systems

Abstract: Nanosized filler particles enhance the mechanical properties of polymer composites in a size-dependent fashion. This is puzzling, because classical elasticity is inherently scale-free, and models for the elasticity of composite systems never predict a filler-size dependence. Here, we study the industrially important system of silica-filled rubbers, together with a well-characterized model-filled crosslinked gel and show that at high filler content both the linear and nonlinear elastic properties of these syste… Show more

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Cited by 10 publications
(7 citation statements)
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“…It depends on the application. In the linear response regime, all methods give the same result, so it does not matter whether the modulus is measured in shear (gives G(ω) and E(ω) ≈ 3G(ω)) or tension (gives E(ω)) mode or during strain or stress relaxation (gives E σ (t) or E (t), of which E(ω) can be obtained using Equations (6) + (7) or Equations (9) + (10)). However, as shown above for large strain, all these methods give different results.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…It depends on the application. In the linear response regime, all methods give the same result, so it does not matter whether the modulus is measured in shear (gives G(ω) and E(ω) ≈ 3G(ω)) or tension (gives E(ω)) mode or during strain or stress relaxation (gives E σ (t) or E (t), of which E(ω) can be obtained using Equations (6) + (7) or Equations (9) + (10)). However, as shown above for large strain, all these methods give different results.…”
Section: Discussionmentioning
confidence: 99%
“…Most of the drop occurs already for a very small strain, typically below 0.1. The strong dependence on the strain amplitude is due to the breakup of the filler network [1][2][3][4][5][6][7][8][9][10][11][12][13]. That is, in the undeformed state, if the filler particle (volume) fraction is larger than ≈0.3, they form a percolating network in the rubber matrix.…”
Section: Introductionmentioning
confidence: 99%
“…Allowing the use of magnetized particles with high remanence and coercivity, this reprogramming method based on solid–liquid phase transition would not inherently sacrifice the actuation performance of hard-magnetic soft composites in terms of the torque density. It is likely, however, that the increase in the average size of particulate fillers due to the inclusion of the meltable solid phase (i.e., the phase-changing beads encasing the magnetic particles) in an elastomer matrix may affect the mechanical properties and behavior of the composite, , such as more pronounced softening after stretching due to the Mullins effect …”
Section: Design Fabrication and Characterizationmentioning
confidence: 99%
“…The particle size of filler is one of the important factors that substantially affect the performances of filled rubber composites [ 41 , 42 ]. Figure 1 a shows particle size distribution of fillers of the as-prepared composites.…”
Section: Resultsmentioning
confidence: 99%