Experimental and finite element investigation of void nucleation in rubber-like materials

Hocine, Nourredine Aït; Hamdi, Adel; Naït-Abdelaziz, Moussa; Heuillet, P.; Zaïri, Fahmi

doi:10.1016/j.ijsolstr.2011.01.009

Cited by 44 publications

(21 citation statements)

References 44 publications

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“…8 for which the uniaxial behavior of the AE42 sample is pointed out. The multi-axiality ratio involved in the median cross-section of the AE2 sample leads potentially to a cavitational process (Aït-Hocine et al, 2011;Zaïri et al, 2011) which can interact with the thermal behavior. For the sake of simplicity, the cavitation is disregarded.…”

Section: Simulation Modelmentioning

confidence: 99%

Temperature and filler effects on the relaxed response of filled rubbers: Experimental observations on a carbon-filled SBR and constitutive modeling

Ovalle

Zaïri

Naït-Abdelaziz

et al. 2015

International Journal of Solids and Structures

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a b s t r a c tThe self-heating temperature of filled rubbers under cyclic loading at environmental conditions is wellknown. This increase in temperature seriously affects the constitutive stress-strain behavior by producing a thermal softening of the rubber compound. Although this feature is well-recognized and considered as important to its function, few constitutive thermo-mechanical models attempt to quantify the stresstemperature relationship. In this work, a physically-based model is developed to describe the large strain relaxed response of filled rubbers over a wide range of temperatures. The non-linear mechanical behavior is described via a Langevin formalism in which the temperature and filler effects are, respectively, included by a network thermal kinetics and an amplification of the first strain invariant. Experimental observations on the relaxed state of styrene-butadiene rubber hourglass-shaped specimens with a given carbon-black content are reported at different temperatures. A hybrid experimental-numerical method is proposed to determine simultaneously the local thermo-mechanical response and the model parameters. In addition, the predictive capability of the proposed constitutive thermo-mechanical model is verified by comparisons with results issued from micromechanical simulations containing different arrangements of the microstructure. The results show that the model offers a satisfactory way to predict the relaxed response of filled rubbers at different temperatures.

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Section: Simulation Modelmentioning

confidence: 99%

Temperature and filler effects on the relaxed response of filled rubbers: Experimental observations on a carbon-filled SBR and constitutive modeling

Ovalle

Zaïri

Naït-Abdelaziz

et al. 2015

International Journal of Solids and Structures

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“…The specimens are axisymmetric and the predominant fatigue crack is initiated in the mid-plane in which the local deformation state is the highest. Obviously, the specimen curvature radius is large enough to minimize the stress triaxiality effects (Aït-Hocine et al, 2011).…”

Section: Materials and Specimenmentioning

confidence: 99%

A continuum damage model for the high-cycle fatigue life prediction of styrene-butadiene rubber under multiaxial loading

Ayoub

Naït-Abdelaziz

Zaïri

et al. 2011

International Journal of Solids and Structures

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a b s t r a c tIn the present contribution, the relationship between the fatigue life of styrene-butadiene rubber (SBR) and the stretch amplitude was established. Focusing on the multiaxial loading effect on the life duration of SBR, experimental tests were conducted using cylindrical specimens subjected to tension and torsion loadings under constant and variable amplitudes. Based upon the continuum damage mechanics approach, a three-dimensional model was derived and coupled with the cracking energy density criterion to predict the fatigue life of SBR. The capabilities of the model, which requires only three damage parameters to be identified, were analysed and a good agreement between predicted values and experimental data were clearly highlighted for tension and torsion loadings both in constant and variable amplitudes.

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“…The study of cavitation is particularly interesting since the initiation, growth, and coalescence of voids lead to enclosed cracks inside the material . Treatments on cavitation in rubberlike materials date back to the experimental works of Busse, Yerzyley, and Gent and Lindley and elaborated in the works of Aït Hocine et al, Bayraktar et al, Kakavas and Chang, and Lindsey . Cavitation is also known as the unusual rupture of rubber since it is revealed in terms of internal cracks under tension experiments of confined poker chip experiments where the applied stretch is equal to the local volume change at the center of the specimen.…”

Section: Introductionmentioning

confidence: 99%

A three‐scale compressible microsphere model for hyperelastic materials

Dal

Cansız

Miehé

2018

Numerical Meth Engineering

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This paper presents a seminumerical homogenization framework for porous hyperelastic materials that is open for any hyperelastic microresponse. The conventional analytical homogenization schemes do apply to a limited number of elementary hyperelastic constitutive models. Within this context, we propose a general numerical scheme based on the homogenization of a spherical cavity in an incompressible unit hyperelastic solid sphere, which is denoted as the mesoscopic representative volume element (mRVE). The approach is applicable to any hyperelastic micromechanical response. The deformation field in the sphere is approximated via nonaffine kinematics proposed by Hou and Abeyaratne (JMPS 40:571-592,1992). Symmetric displacement boundary conditions driven by the principal stretches of the deformation gradient are applied on the outer boundary of the mRVE. The macroscopic quantities, eg, stress and moduli expressions, are obtained by analytically derived pointwise geometric transformations. The macroscopic expressions are then computed numerically through quadrature rules applied in the radial and surface directions of the sphere. A three-scale compressible microsphere model is derived from the developed seminumerical homogenization framework where the micro-meso transition is based on the nonaffine microsphere model at every point of the mRVE. The numerical scheme developed for the derivation of macroscopic homogenized stresses and moduli terms as well as the modeling capability of the three-scale microsphere model is investigated through representative boundary value problems. KEYWORDS compressible hyperelasticity, homogenization methods, microsphere model, rubberlike materials INTRODUCTIONPorous polymeric materials exhibiting compressible hyperelastic behavior are common in engineering practice due to their properties, such as higher energy absorption and noise reduction. Despite the abundance of conventional hyperelastic constitutive models treating rubberlike materials incompressible, we lack a rigorous yet relatively simple treatment of this class of materials. The compressible mechanical response of porous elastomers results from preexisting voids introduced deliberately or unintentionally during the production process. The mechanical behavior of porous elastomers is intrinsically related to cavitation, which is attributed to the sudden growth of these preexisting voids under high triaxial stresses. The study of cavitation is particularly interesting since the initiation, growth, and coalescence of voids lead to 412

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Experimental and finite element investigation of void nucleation in rubber-like materials

Cited by 44 publications

References 44 publications

Temperature and filler effects on the relaxed response of filled rubbers: Experimental observations on a carbon-filled SBR and constitutive modeling

Temperature and filler effects on the relaxed response of filled rubbers: Experimental observations on a carbon-filled SBR and constitutive modeling

A continuum damage model for the high-cycle fatigue life prediction of styrene-butadiene rubber under multiaxial loading

A three‐scale compressible microsphere model for hyperelastic materials

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