Rubber elasticity for incomplete polymer networks

2012 ◽  
Vol 137 (22) ◽  
pp. 224903 ◽  
Author(s):  
Kengo Nishi ◽  
Masashi Chijiishi ◽  
Yukiteru Katsumoto ◽  
Toshio Nakao ◽  
Kenta Fujii ◽  
...  
Keyword(s):  
Polymer Networks ◽  
Rubber Elasticity

Rubber elasticity of polymer networks: Theories

1988 ◽  
pp. 33-87 ◽  
Author(s):  
G. Heinrich ◽  
E. Straube ◽  
G. Helmis
Keyword(s):  
Polymer Networks ◽  
Rubber Elasticity

scholarly journals Structure and rubber elasticity of polymer networks.

Kobunshi ◽  
1989 ◽  
Vol 38 (12) ◽  
pp. 1066-1069 ◽  
Author(s):  
Katsumichi Ono
Keyword(s):  
Polymer Networks ◽  
Rubber Elasticity

Stress-Strain Isotherm for Polymer Networks

1960 ◽  
Vol 33 (2) ◽  
pp. 254-271 ◽  
Author(s):  
A. Ciferri ◽  
P. J. Flory
Keyword(s):  
Polymer Networks ◽  
Relative Length ◽  
Elastic Equilibrium ◽  
Ethyl Acrylate ◽  
Rubber Elasticity ◽  
Simple Extension ◽  
Additional Parameter ◽  
Experimental Conditions ◽  
Factors Affecting ◽  
Wide Range

Abstract According to the molecular theory of rubber elasticity, the stress τ is related to the relative length a in simple extension according to τ=kT(ν/V)〈α〉2(α−1/α2), where (ν/V)〈α〉2 is a parameter of the network structure. Improved agreement with experiment has been claimed through use of the relation τ=(2C1+2C2/α)(α−1/α2) which contains the additional parameter C2. In order to explore factors affecting this theoretically inexplicable term, stress-elongation measurements were performed on networks prepared from natural rubber, Butyl rubber, poly-(dimethylsiloxane), poly-(ethyl acrylate), and poly(methyl methacrylate) under a wide range of experimental conditions. Results may be summarized as follows: (1) the C2 term offers improved agreement over the extension phase of an elongation cycle, but not for the subsequent retraction phase; (2) apparent values of C2 (determined on extension) vary widely from one polymer to another, increasing with hysteresis and with proximity to the glass transition temperature; (3) they are insensitive to the degree of crosslinking; (4) C2 is markedly reduced by permanently swelling the network with a diluent, or by swelling and deswelling the sample at each tension ; (5) incorporation of diluent prior to establishing a network by crosslinking with gamma radiation likewise lowers C2, the value characteristic of the unswollen polymer being restored upon removal of the diluent. The results demonstrate that the controversial C2 term arises from the difficulty of attaining elastic equilibrium; under ideal experimental conditions the value of this parameter becomes negligible. An alleged limitation of the theory of rubber elasticity is thus refuted.

scholarly journals Nonaffine rubber elasticity for stiff polymer networks

2007 ◽  
Vol 76 (3) ◽  
Author(s):  
Claus Heussinger ◽  
Boris Schaefer ◽  
Erwin Frey
Keyword(s):  
Polymer Networks ◽  
Rubber Elasticity
Sign in / Sign up

Export Citation Format

Share Document