A general constitutive model of soft elastomers

Xiang, Yiqiang; Zhong, Danming; Wang, Peng; Mao, Guoyong; Yu, Honghui; Qu, Shaoxing

doi:10.1016/j.jmps.2018.04.016

Cited by 109 publications

(54 citation statements)

References 42 publications

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“…Multiple constitutive models have been proposed in the literature to describe some important mechanical behaviors of elastomers, such as softening, hardening, and the deformation state dependence. 29,30 In this article, we examine two of the models most commonly applied in the literature, that is, Flory-Rehner and Mooney-Rivlin, which are closely related to the experimental data obtained here. The Flory-Rehner model is one of the most widely known equations in polymer science.…”

Section: Introductionmentioning

confidence: 93%

Using the Lorenz–Park, Mooney–Rivlin, and dynamic mechanical analysis relationship on natural rubber/leather shavings composites

Santos

Hiranobe

Dognani

et al. 2021

J of Applied Polymer Sci

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The tanning industry generates millions of tons of waste every year, which can cause environmental damage as well as problems to human health. In this article, we analyzed the use of leather shavings (20 to 80 parts per hundred rubber) as fillers in Natural Rubber (NR) composites. For this purpose, the interfacial interaction of the filler was quantitatively evaluated based on the cross-link density value calculated by the Flory-Rehner methodology using the Lorenz-Park equation (swelling). Then, the results of this evaluation were compared with those obtained by the Mooney-Rivlin method (by a stressstrain test). According to our findings, the tensile strength at rupture of the composites increased by 100%, that is, from 7.0 MPa (NR) to 14.0 MPa, when 80 phr of leather waste were incorporated. In addition, their final deformation decreased around 50% compared to pure gum (no filler). According to the Lorentz-Park equation, values over 0.7 indicate a strong interaction between the leather shavings and the NR matrix. Likewise, a dynamic mechanical analysis confirmed a strong interfacial interaction based on the B parameter. Scanning electron microscopy and Fourier transform infrared spectroscopy were employed to examine the morphology and chemical properties of the composites.

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Section: Introductionmentioning

confidence: 93%

Using the Lorenz–Park, Mooney–Rivlin, and dynamic mechanical analysis relationship on natural rubber/leather shavings composites

Santos

Hiranobe

Dognani

et al. 2021

J of Applied Polymer Sci

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show abstract

“…According to continuum mechanics, 37–39 the end-to-end distance ( h ) of polymer chains can be further written as,where λ 1 , λ 2 and λ 3 represent the stretching ratios along three directions, respectively. The relationships λ 1 = λ and λ 2 = λ 3 = λ −1/2 are used in the uniaxial tensile stretching, according to the assumption of volume invariance of isotropic materials, i.e.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Untangling the mechanics of entanglements in slide-ring gels towards both super-deformability and toughness

Xing

Shu

et al. 2022

Soft Matter

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“…where E r is the Young's modulus at the given temperature T h , which represents the temperature above the range of the glass transition, and the polymer is considered to express rubber elasticity at this region. There are also other available constitutive models for hyperelastic materials that can be used to develop future constitutive models of hydrogels and SMPs [Xiang et al, 2018;Zhong et al, 2019]. For example, there are the Mooney-Rivlin model, the Ogden model, and so on.…”

Section: Basic Constitutive Models For Hyperelastic Materialsmentioning

confidence: 99%

Recent Advances of the Constitutive Models of Smart Materials — Hydrogels and Shape Memory Polymers

Huang

Zheng

Liu

et al. 2020

Int. J. Appl. Mechanics

187

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Hydrogels and shape memory polymers (SMPs) possess excellent and interesting properties that may be harnessed for future applications. However, this is not achievable if their mechanical behaviors are not well understood. This paper aims to discuss recent advances of the constitutive models of hydrogels and SMPs, in particular the theories associated with their deformations. On the one hand, constitutive models of six main types of hydrogels are introduced, the categorization of which is defined by the type of stimulus. On the other hand, constitutive models of thermal-induced SMPs are discussed and classified into three main categories, namely, rheological models; phase transition models; and models combining viscoelasticity and phase transition, respectively. Another feature in this paper is a summary of the common hyperelastic models, which can be potentially developed into the constitutive models of hydrogels and SMPs. In addition, the main advantages and disadvantages of these constitutive modes are discussed. In order to provide a compass for researchers involved in the study of mechanics of soft materials, some research gaps and new research directions for hydrogels and SMPs constitutive modes are presented. We hope that this paper can serve as a reference for future hydrogel and SMP studies.

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A general constitutive model of soft elastomers

Cited by 109 publications

References 42 publications

Using the Lorenz–Park, Mooney–Rivlin, and dynamic mechanical analysis relationship on natural rubber/leather shavings composites

Using the Lorenz–Park, Mooney–Rivlin, and dynamic mechanical analysis relationship on natural rubber/leather shavings composites

Untangling the mechanics of entanglements in slide-ring gels towards both super-deformability and toughness

Recent Advances of the Constitutive Models of Smart Materials — Hydrogels and Shape Memory Polymers

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