Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity

Cheng-Sha Wei; Ai Lu; Su-Ming Sun; Xing-Wen Wei; Xiao-Yu Zhou; Jie Sun

doi:10.1007/s10118-018-2125-8

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Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity

ARTICLE | Updated：2021-02-18

- Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity
- Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity
- Chinese Journal of Polymer Science 2018年36卷第9期页码：1077-1083
- Affiliations：
  
  Institute of Chemical Materials, China Academy of Engineering Physics, Mianyang 621999, China
- Author bio：
  
  sunjie@caep.cn
- Funds：
  
  This work was financially supported by the National Natural Science Foundation of China (Nos. 51473151 and 51703210).
- DOI：10.1007/s10118-018-2125-8
  中图分类号：
- 收稿：2018-01-26，
  
  修回：2018-1-16，
  
  录用：2018-3-7，
  
  网络首发：2018-05-11，
  
  纸质出版：2018-09
- Accepted：
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Cheng-Sha Wei, Ai Lu, Su-Ming Sun, 等. Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity[J]. Chinese Journal of Polymer Science, 2018,36(9):1077-1083.

Cheng-Sha Wei, Ai Lu, Su-Ming Sun, et al. Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity[J]. Chinese Journal of Polymer Science, 2018, 36(9): 1077-1083.
Cheng-Sha Wei, Ai Lu, Su-Ming Sun, 等. Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity[J]. Chinese Journal of Polymer Science, 2018,36(9):1077-1083. DOI： 10.1007/s10118-018-2125-8.

Cheng-Sha Wei, Ai Lu, Su-Ming Sun, et al. Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity[J]. Chinese Journal of Polymer Science, 2018, 36(9): 1077-1083. DOI： 10.1007/s10118-018-2125-8.

摘要

Abstract

In this study

a constitutive model based on microscopic physical mechanism of silicone rubber foams was established. A theoretical statistical model of rubber elasticity considering the effect of dangling chains was modified to build this model. When a strain amplification factor (

) was introduced

the theoretical model could fit the tensile stress-strain data of mono- and bi-modal foam matrix well (Adj. R-Square = 0.9989

0.9983). Parameters related to the polymer network

namely

average molecular weight (

) and volume fraction (

) of chain segments between adjacent cross-linking points (network strands)

were calculated by probabilistic method from the number-average molecular weight (

)

vinyl content (

) of the primary polysiloxanes and percent conversion (

) of vinyl groups. The primary and infinite strain amplification factors (

∞

) and decay exponent (

)

introduced by

and related to the nanoparticles

were obtained by fitting. Inspired by the fact that the actual strain of matrix was lower than that of the foams’

we introduced another item

strain hysteresis item (

related with the foam porosity and cell structure)

into the statistical model as well. With the same above values of

and

∞

the model could also fit the compressive stress-strain data of mono- and bi-modal foams well (Adj. R-Square = 0.9948

0.9985). Interestingly

the strain hysteresis items of the mono- and bi-modal foams almost completely coincided under all experimental strains

which may be attributed to the almost equal porosity and similar cell structure of the two foams. This constitutive model may connect the macroscopic stress-strain behaviour to the parameters of microscopic molecular structures

promisingly providing a basis for the performance improvement and optimization of silicone rubber foams.

关键词

Keywords

references

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