The Theories of Rubber Elasticity and the Goodness of Their Constitutive Stress–Strain Equations
Abstract
:1. Introduction
2. Experimental Method
3. Molecular and Phenomenological Models
3.1. The Affine Network Model
3.2. Derivation of the Stress–Strain Equation for the Flory Affine Model
3.3. The Phantom Network Model
3.4. The Constrained Junction Models
3.5. The Tube Models
3.6. The Slip-Link Models
3.7. The Nonaffine Tube Model
3.8. The Nonaffine Slip–Tube Model
3.9. The Mooney–Rivlin Models
4. Conclusions
Funding
Acknowledgments
Conflicts of Interest
References
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Model | Constitutive Stress–Strain Equation | R2 |
---|---|---|
Affine Network | 0.97608 | |
Ronca–Allegra | 0.97608 | |
Marrucci Tube (r = 1) | 0.96526 | |
Nonaffine Tube | 0.99649 | |
Nonaffine Slip–Tube | 0.99663 | |
Two-parameter Mooney–Rivlin | 0.99531 | |
Three-parameter Mooney–Rivlin | 0.99978 |
Model | Stress–Strain Constitutive Equation | R2 |
---|---|---|
Affine Network | 0.99299 | |
Ronca–Allegra | 0.99317 | |
Marrucci Tube (r = 1) | 0.99308 | |
Nonaffine Tube | 0.99299 | |
Nonaffine Slip–Tube | 0.99299 | |
Two-parameter Mooney–Rivlin | 0.99301 | |
Five-parameter Mooney–Rivlin | 0.99994 |
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Villani, V.; Lavallata, V. The Theories of Rubber Elasticity and the Goodness of Their Constitutive Stress–Strain Equations. Physchem 2024, 4, 296-318. https://doi.org/10.3390/physchem4030021
Villani V, Lavallata V. The Theories of Rubber Elasticity and the Goodness of Their Constitutive Stress–Strain Equations. Physchem. 2024; 4(3):296-318. https://doi.org/10.3390/physchem4030021
Chicago/Turabian StyleVillani, Vincenzo, and Vito Lavallata. 2024. "The Theories of Rubber Elasticity and the Goodness of Their Constitutive Stress–Strain Equations" Physchem 4, no. 3: 296-318. https://doi.org/10.3390/physchem4030021