Theory of elasticity of polymer networks. 3

Flory, Paul J.; Erman, Burak

doi:10.1021/ma00231a022

Cited by 472 publications

(260 citation statements)

References 8 publications

(8 reference statements)

Supporting

Mentioning

257

Contrasting

Order By: Relevance

“…23,24,[31][32][33] Better accuracy can be realized using a general form of the strain energy function suggested by Rivlin. 22 The curvature in the stress-strain response is captured to some extent by molecular theories of rubber deformation, such as the constraint models, [34][35][36][37][38][39][40] which include the effect of topological interactions on the microscopic deformation. However, these models still tend to overestimate the stress for compression.…”

Section: Resultsmentioning

confidence: 99%

Strains in an Inflated Rubber Sheet

Mott

Roland

Hassan

2003

Rubber Chemistry and Technology

View full text Add to dashboard Cite

A technique to measure the strain distribution of an inflated membrane is described, and applied to natural rubber inflated to pole biaxial strains of 12%, 26%, and 33%. The radial strain was found to be nearly constant over the entire surface, while the circumferential strain falls to zero at the edge. Thus, biaxial deformation is limited to a narrow region in the vicinity of the pole. These results are quite different from (the very limited) data published previously. The stressstrain behavior was also measured in uniaxial tension, and the strain distribution of the inflated membrane calculated using finite elements. The experiment results and the modeling were in good agreement.

show abstract

Section: Resultsmentioning

confidence: 99%

Strains in an Inflated Rubber Sheet

Mott

Roland

Hassan

2003

Rubber Chemistry and Technology

View full text Add to dashboard Cite

show abstract

“…The ratio f e ll ph is given by the theory as a function of two parame ters, K, which is a measure of the severity of the constraints, and (, which is related to the degree of nonaffineness in the relaxation of those constraints with strain. 16 In order to interpret the results by the theory, the fol lowing extrapolation criterion has been used. The pa rameter K has been reported to be a function of the degree of crosslinking, 17 -1 9 as expressed by the phantom modulus [/* p h ], according to the equation…”

mentioning

confidence: 99%

Elastic properties of highly crosslinked polyacrylamide gels

Baselga¹,

Hernández-Fuentes²,

Piérola³

et al. 1987

Macromolecules

View full text Add to dashboard Cite

Mechanical properties of polyacrylamide gels covering a wide range of polymer concentrations have been studied. Gels were synthesized by using N,N-methylenebis(acrylamide) as cross-linking agent whose weight percentage, with respect to the total weight of comonomers, ranged from 0.663% to 14.50%. The resulting gels were analyzed by means of their stress-strain isotherms in elongation at 30 °C. Mooney-Rivlin type plots of the data show a large increase of the modulus or upturn, particularly on gels with high percentage of cross-linking monomer and at high polymer concentrations, due to non-Gaussian effects arising from the very heterogeneous molecular network structure. The elastic modulus was found to increase exponentially with total comonomer concentration, keeping constant the percentage of bisacrylamide comonomer.On the other hand, the modulus passes through a maximum as the amount of cross-linking agent is increased. The ultimate properties found and the comparison of the cross-linking densities obtained from the elastic results with the theoretical ones, determined from the initial comonomer compositions, confirm the very high heterogeneity of polyacrylamide gels.

show abstract

“…Following a classical approach in polymer elasticity [28] [ Fig. 3(b)], the energy of the protein network is the sum of the energy of ideally noninteracting unfolding chains plus a term (here modeled as simple Gaussian chains) accounting for the real network chains interactions.…”

Section: Micro-macro Modelmentioning

confidence: 99%

“…To describe the complex interchains interactions and self-avoiding effects, according to the additivity hypothesis in polymer elasticity [28], we determine the energy of the real network as the sum of the energy of ideally isolated fibrils [folded molecules in Fig. 3(b), whose behavior is schematized in Fig.…”

Section: Macrosopic Materials Behaviormentioning

confidence: 99%

Micromechanical model for protein materials: From macromolecules to macroscopic fibers

et al. 2017

View full text Add to dashboard Cite

We propose a model for the mechanical behavior of protein materials. Based on a limited number of experimental macromolecular parameters (persistence and contour length) we obtain the macroscopic behavior of keratin fibers (human, cow, and rabbit hair), taking into account the damage and residual stretches effects that are fundamental in many functions of life. We also show the capability of our approach to describe the main dissipation and permanent strain effects observed in the more complex spider silk fibers. The comparison between our results and the data obtained experimentally from cyclic tests demonstrates that our model is robust and is able to reproduce with a remarkable accuracy the experimental behavior of all protein materials we tested.

show abstract

Theory of elasticity of polymer networks. 3

Cited by 472 publications

References 8 publications

Strains in an Inflated Rubber Sheet

Strains in an Inflated Rubber Sheet

Elastic properties of highly crosslinked polyacrylamide gels

Micromechanical model for protein materials: From macromolecules to macroscopic fibers

Contact Info

Product

Resources

About