1. Modeling the low-cycle fatigue behavior of visco-hyperelastic elastomeric materials using a new network alteration theory: Application to styrene-butadiene rubber
- Author
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Fahmi Zaïri, Georges Ayoub, Jean-Michel Gloaguen, M. Naït-Abdelaziz, Laboratoire de Mécanique de Lille - FRE 3723 (LML), Université de Lille, Sciences et Technologies-Centrale Lille-Centre National de la Recherche Scientifique (CNRS), Laboratoire de structures et propriétés de l'état solide - UMR 8008 (LSPES), Université de Lille, Sciences et Technologies-Centre National de la Recherche Scientifique (CNRS), and Université de Lille, Sciences et Technologies-Ecole Centrale de Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Materials science ,02 engineering and technology ,Elastomer ,Stress (mechanics) ,0203 mechanical engineering ,Natural rubber ,Network alteration theory ,Composite material ,Fatigue ,Mullins effect ,Hysteresis ,Mechanical Engineering ,Mechanics ,021001 nanoscience & nanotechnology ,Condensed Matter Physics ,Nonlinear system ,020303 mechanical engineering & transports ,Elastomeric materials ,Mechanics of Materials ,visual_art ,Hyperelastic material ,visual_art.visual_art_medium ,Visco-hyperelasticity ,0210 nano-technology ,Vibration fatigue - Abstract
International audience; Although several theories were more or less recently proposed to describe the Mullins effect, i.e. the stress-softening after the first load, the nonlinear equilibrium and non-equilibrium material response as well as the continuous stress-softening during fatigue loading need to be included in the analysis to propose a reliable design of rubber structures. This contribution presents for the first time a network alteration theory, based on physical interpretations of the stress-softening phenomenon, to capture the time-dependent mechanical response of elastomeric materials under fatigue loading, and this until failure. A successful physically based visco-hyperelastic model is revisited by introducing an evolution law for the physical material parameters affected by the network alteration. The general form of the model can be basically represented by two parallel networks: a nonlinear equilibrium response and a time-dependent deviation from equilibrium, in which the network parameters become functions of the damage rate (defined as the ratio of the applied cycle over the applied cycle to failure). The mechanical behavior of styrene-butadiene rubber was experimentally investigated, and the main features of the constitutive response under fatigue loading are highlighted. The experimental results demonstrate that the evolution of the normalized maximum stress only depends on the damage rate endured by the material during the fatigue loading history. The average chain length and the average chain density are then taken as functions of the damage rate in the proposed network alteration theory. The new model is found to adequately capture the important features of the observed stress–strain curves under loading–unloading for a large spectrum of strain and damage levels. The model capabilities to predict variable amplitude tests are critically discussed by comparisons with experiments.
- Published
- 2011
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