Thermodynamics and mechanics of stretch-induced ...
Document type :
Article dans une revue scientifique: Article original
PMID :
Permalink :
Title :
Thermodynamics and mechanics of stretch-induced crystallization in rubbers
Author(s) :
Guo, Qiang [Auteur]
Zairi, Fahmi [Auteur]
Laboratoire Génie Civil et géo-Environnement (LGCgE) - ULR 4515
Guo, Xinglin [Auteur]
Zairi, Fahmi [Auteur]
Laboratoire Génie Civil et géo-Environnement (LGCgE) - ULR 4515
Guo, Xinglin [Auteur]
Journal title :
Physical review. E
Abbreviated title :
Phys. Rev. E
Volume number :
97
Publication date :
2018-05-22
ISSN :
2470-0045
HAL domain(s) :
Sciences du Vivant [q-bio]
English abstract : [en]
The aim of the present paper is to provide a quantitative prediction of the stretch-induced crystallization in natural rubber, the exclusive reason for its history-dependent thermomechanical features. A constitutive model ...
Show more >The aim of the present paper is to provide a quantitative prediction of the stretch-induced crystallization in natural rubber, the exclusive reason for its history-dependent thermomechanical features. A constitutive model based on a micromechanism inspired molecular chain approach is formulated within the context of the thermodynamic framework. The molecular configuration of the partially crystallized single chain is analyzed and calculated by means of some statistical mechanical methods. The random thermal oscillation of the crystal orientation, considered as a continuous random variable, is treated by means of a representative angle. The physical expression of the chain free energy is derived according to a two-step strategy by separating crystallization and stretching. This strategy ensures that the stretch-induced part of the thermodynamic crystallization force is null at the initial instant and allows, without any additional constraint, the formulation of a simple linear relationship for the crystallinity evolution law. The model contains very few physically interpretable material constants to simulate the complex mechanism: two chain-scale constants, one crystallinity kinetics constant, three thermodynamic constants related to the newly formed crystallites, and a function controlling the crystal orientation with respect to the chain. The model is used to discuss some important aspects of the micromechanism and the macroresponse under the equilibrium state and the nonequilibrium state involved during stretching and recovery, and continuous relaxation.Show less >
Show more >The aim of the present paper is to provide a quantitative prediction of the stretch-induced crystallization in natural rubber, the exclusive reason for its history-dependent thermomechanical features. A constitutive model based on a micromechanism inspired molecular chain approach is formulated within the context of the thermodynamic framework. The molecular configuration of the partially crystallized single chain is analyzed and calculated by means of some statistical mechanical methods. The random thermal oscillation of the crystal orientation, considered as a continuous random variable, is treated by means of a representative angle. The physical expression of the chain free energy is derived according to a two-step strategy by separating crystallization and stretching. This strategy ensures that the stretch-induced part of the thermodynamic crystallization force is null at the initial instant and allows, without any additional constraint, the formulation of a simple linear relationship for the crystallinity evolution law. The model contains very few physically interpretable material constants to simulate the complex mechanism: two chain-scale constants, one crystallinity kinetics constant, three thermodynamic constants related to the newly formed crystallites, and a function controlling the crystal orientation with respect to the chain. The model is used to discuss some important aspects of the micromechanism and the macroresponse under the equilibrium state and the nonequilibrium state involved during stretching and recovery, and continuous relaxation.Show less >
Language :
Anglais
Audience :
Internationale
Popular science :
Non
Administrative institution(s) :
IMT Lille Douai
Institut Catholique Lille
Univ. Artois
Université de Lille
Institut Catholique Lille
Univ. Artois
Université de Lille
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Submission date :
2022-06-15T13:57:31Z