Stress-strain behaviour of model networks in uniaxial tension and compression

Rennar, N.

doi:10.1007/bf01188358

Cited by 24 publications

(10 citation statements)

References 24 publications

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“…[1][2][3][4][5][6][7][8] In most of these studies, 3,4,6 -8 the prepolymers are crosslinked in bulk state where the effect of so-called trapped entanglement ͑which originates from the uncrossabilities of polymer chains͒ on the elasticity is discussed in terms of the molecular weight (M ) of prepolymer. On the other hand, in the system that the prepolymers with a certain M are crosslinked in solution state, the number of trapped entanglements is governed by the preparation concentration.…”

Section: Introductionmentioning

confidence: 99%

“…The interpretation on the effect of trapped entanglements is still in dispute. Some authors have argued that trapped entanglements act similarly as chemical crosslinks, 3,6,8 while others have treated the effect of trapped entanglements only through the restriction on the fluctuations of chemical crosslinks. 4,7,27 In the system crosslinked in solution, the number of trapped entanglements is controlled by 0 .…”

Section: Introductionmentioning

confidence: 99%

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Crossover of the concentration dependence of swelling and elastic properties for polysiloxane networks crosslinked in solution

Urayama

Kohjiya

1996

The Journal of Chemical Physics

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We have investigated the preparation concentration dependence of the polymer volume fraction and the elastic modulus of the equilibrium swollen polydimethylsiloxane networks in toluene. The networks were prepared by the end-linking method in solution with a wide range of concentration. The network samples were attempted to be as small amount of structural defects as possible. The crossover has been observed for the preparation concentration dependence of the degree of equilibrium swelling and the elastic modulus. The crossover concentrations agree with each other, and are almost identical with the boundary concentration between the semidilute and the concentrated regime for the end-to-end distance of the polymer chain. The theoretical predictions which describe the experimental results have been derived as a function of the polymer volume fraction of preparation and swollen state, considering the effect of trapped entanglements on the elasticity and the concentration regime of preparation and swollen state. The good agreements of the theoretical predictions with the experimental results suggest that the trapped entanglements contribute to the elastic modulus together with the chemical crosslinks, and the crosslinking points moves affinely relative to the global polymer network on swelling.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Crossover of the concentration dependence of swelling and elastic properties for polysiloxane networks crosslinked in solution

Urayama

Kohjiya

1996

The Journal of Chemical Physics

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“…a linear line, then we can easily get c 1 and c 2 from the intercept and slope [28][29][30], respectively. However, the plot is not exactly a linear line.…”

Section: Mr Model and Determination Of Materials Constantsmentioning

confidence: 99%

“…Fortunately, there are some literatures on for relevant experiments [28][29][30]. In addition, Gent [31] has proposed some other methods to get the material constants.…”

Section: Introductionmentioning

confidence: 99%

Deformation of PDMS membrane and microcantilever by a water droplet: Comparison between Mooney–Rivlin and linear elastic constitutive models

Zhao

2009

Journal of Colloid and Interface Science

102

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In this paper, we studied the role of vertical component of surface tension of a water droplet on the deformation of membranes and microcantilevers (MCLs) widely used in lab-on-a-chip and micro- and nano-electromechanical system (MEMS/NEMS). Firstly, a membrane made of a rubber-like material, poly(dimethylsiloxane) (PDMS), was considered. The deformation was investigated using the Mooney-Rivlin (MR) model and the linear elastic constitutive relation, respectively. By comparison between the numerical solutions with two different models, we found that the simple linear elastic model is accurate enough to describe such kind of problem, which would be quite convenient for engineering applications. Furthermore, based on small-deflection beam theory, the effect of a liquid droplet on the deflection of a MCL was also studied. The free-end deflection of the MCL was investigated by considering different cases like a cylindrical droplet, a spherical droplet centered on the MCL and a spherical droplet arbitrarily positioned on the MCL. Numerical simulations demonstrated that the deflection might not be neglected, and showed good agreement with our theoretical analyses.

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“…Therefore, the established theory of rubber elasticity [8,23,24,25] is applicable if the strands are freely fluctuating. At temperatures well above their glass transition, the molecular strands are usually quite mobile.…”

Section: Rubber Elasticitymentioning

confidence: 99%

Properties and failure of polymes with tailored distances between crosslinks

Fischer¹

Macromolecules: Synthesis, Order and Advanced Properties

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Crosstinked polymers are rather peculiar materials in that they never melt and they exhibit entropic elasticity at elevated temperatures. The present review on the influence of crosslink density is structured around model polymers of uniform composition but with widely varying numbers of crosslinks. The degree of crosstinking in the polymers was verified by use of the theory of rubber elasticity.The existence of crosslinks has little effect on the behaviour of the glassy polymers at low levels of strain. Fox's equation was found appropriate for those minor effects. In contrast to their low significance at small strains, crosslinks determine the dimensions of the deformation zone ahead of the tip of a crack propagating through the polymer. Proportionality between the crack opening displacement (Dugdale-Barenblatt-model) and the chain contour length of the strands of the molecular network was established. In this way, the molecular architecture of the polymer determines the toughness of the bulk material.Polymer fracture studies reported in the recent literature are shown to be in agreement with the conclusions derived from the present model polymers.

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Stress-strain behaviour of model networks in uniaxial tension and compression

Cited by 24 publications

References 24 publications

Crossover of the concentration dependence of swelling and elastic properties for polysiloxane networks crosslinked in solution

Crossover of the concentration dependence of swelling and elastic properties for polysiloxane networks crosslinked in solution

Deformation of PDMS membrane and microcantilever by a water droplet: Comparison between Mooney–Rivlin and linear elastic constitutive models

Properties and failure of polymes with tailored distances between crosslinks

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