Citation: Fang Ding, Huan Zhang, Ming-ming Ding, Tong-fei Shi, Yun-qi Li, Li-jia An. Theoretical Models for Stress-Strain Curves of Elastomer Materials[J]. Acta Polymerica Sinica, ;2019, 50(12): 1357-1366. doi: 10.11777/j.issn1000-3304.2019.19132 shu

Theoretical Models for Stress-Strain Curves of Elastomer Materials

Fang Ding ^1,3 ,
Huan Zhang ^1,3 ,
Ming-ming Ding ^2,3 ,
Tong-fei Shi ^2,3 ,
Yun-qi Li ^1,3,, ,
Li-jia An ^2,3

3.
School of Applied Chemistry and Engineering, University of Science and Technology of China, Hefei 230026

Corresponding author: Yun-qi Li, yunqi@ciac.ac.cn
Received Date: 9 July 2019
Revised Date: 23 July 2019

Based on the analysis of uniaxial stress-strain curves, the quantitative relationship between the composition, structure and properties of elastomers can be obtained. So far, more than 30 constitutive models have been developed. Here, we summarized the fundamental assumptions, boundary conditions, general ranges for model parameters and the characteristics of stress-strain curves of these typical models. Equations associated with phenomenological models, statistical mechanics models and their deviations were listed. Through the analysis of the best non-linear fitting of these modeling stress-strain curves using the coefficient of determination and Fréchet distance, the similarity and mathematical equivalence of models were quantified. It was found that Gent model and Warner model, Three-Chain model and Eight-Chain model have mutual equivalence in the depiction of stress-strain curves with strain hardening. Other models can undirectionally replace some models with less parameters and computational complexity. This work can help the selection of the proper constitutive models to simulate complex stress-strain behaviors of elastomer materials.
- Constitutive model,
- Stress-strain curve,
- Elastomer,
- Mechanical properties
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