The constant volume tube model of rubber elasticity

1982 ◽  
Vol 8 (7-8) ◽  
Author(s):  
RichardJ. Gaylord
Keyword(s):  
Constant Volume ◽  
Rubber Elasticity ◽  
Tube Model

Thermodynamics of rubber elasticity at constant volume

1971 ◽  
Vol 67 ◽  
pp. 1278 ◽  
Author(s):  
G. Allen ◽  
M. J. Kirkham ◽  
J. Padget ◽  
C. Price
Keyword(s):  
Constant Volume ◽  
Rubber Elasticity

An Extended Tube-Model for Rubber Elasticity: Statistical-Mechanical Theory and Finite Element Implementation

1999 ◽  
Vol 72 (4) ◽  
pp. 602-632 ◽  
Author(s):  
M. Kaliske ◽  
G. Heinrich
Keyword(s):  
Finite Element ◽  
Parameter Identification ◽  
Energy Function ◽  
Strain Energy ◽  
Strain Energy Function ◽  
Rubber Elasticity ◽  
Experimental Investigations ◽  
Structural Level ◽  
Tube Model ◽  
Starting Point

Abstract A novel model of rubber elasticity—the extended tube-model—is introduced. The model considers the topological constraints as well as the limited chain extensibility of network chains in filled rubbers. It is supplied by a formulation suitable for an implementation into a finite element code. Homogeneous states of deformation are evaluated analytically to yield expressions required e.g., for parameter identification algorithms. Finally, large scale finite element computations compare the extended tube-model with experimental investigations and with the phenomenological strain energy function of the Yeoh-model. The extended tube-model can be considered as an interesting approach introducing physical considerations on the molecular scale into the formulation of the strain energy function which is on the other hand the starting point for the numerical realization on the structural level. Thus, the gap between physics and numerics is bridged. Nevertheless, this study reveals the importance of a proper parameter identification and adapted experiments.

A generalized tube model of rubber elasticity

Soft Matter ◽  
2021 ◽  
Author(s):  
Ehsan Darabi ◽  
Mikhail Itskov
Keyword(s):  
Network Model ◽  
Rubber Elasticity ◽  
Tube Model ◽  
New Type ◽  
The Impact

A new type of micro-mechanically motivated chain network model for rubber-like materials is proposed. The model demonstrates how the local molecular constraints modify under deformation and shows the impact of these changes on the macroscopic elasticity of the material.

Analysis of Stress-Strain Data for Dry and Swollen Rubbers by a New Tube Model of Rubber Elasticity Based on Finite Chain Extensibility

2008 ◽  
Vol 81 (2) ◽  
pp. 318-337 ◽  
Author(s):  
Yoshio Hoei
Keyword(s):  
Rubber Elasticity ◽  
Experimental Literature ◽  
Tube Model ◽  
Finite Chain ◽  
Stress Strain ◽  
Deformation Index ◽  
Strain Data ◽  
Non Gaussian ◽  
Fitting Parameters

Abstract New stress-strain equations have been extensively tested for both unswollen and swollen rubbers, which were very recently derived from a new non-Gaussian tube model of rubber elasticity that incorporates the effect of finite chain extensibility. Particularly, as core parameters, they involve the junction-fluctuation suppression parameter (h) of Dossin and Grassley and the tube deformation index (γ) of Gaylord. The best-fits of the equations to experimental literature data for unswollen and swollen networks have been done. The results are very good with sufficiently small departures of theory from experiment and the two fitting parameters can consistently well explain the molecular situations of the networks.

Modified Gaussian model for rubber elasticity. 3. Hard-tube model

1986 ◽  
Vol 19 (6) ◽  
pp. 1744-1747 ◽  
Author(s):  
Jeffrey Kovac ◽  
Charles C. Crabb
Keyword(s):  
Gaussian Model ◽  
Rubber Elasticity ◽  
Tube Model ◽  
Modified Gaussian Model

The tube model theory of rubber elasticity

1988 ◽  
Vol 51 (2) ◽  
pp. 243-297 ◽  
Author(s):  
S F Edwards ◽  
T A Vilgis
Keyword(s):  
Model Theory ◽  
Rubber Elasticity ◽  
Tube Model
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