Criteria for cavitation of rubber particles: Influence of plastic yielding in the matrix

Géhant, Sébastien; Fond, Christophe; Schirrer, R.

doi:10.1023/b:frac.0000005790.35684.1d

Cited by 22 publications

(18 citation statements)

References 28 publications

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“…Further, the hydrostatic stress in the rubber particle at cavitation is 22.3 MPa; this is very close to the hydrostatic stress value of 20 MPa found to cause rubber particle cavitation using finite element modeling [9]. The energy contributions for triaxial loading are shown in Figure 12b; rubber particle cavitation is predicted to occur at 0.0116 maximum applied strain.…”

Section: Energy Contributionssupporting

confidence: 70%

Particle cavitation in rubber toughened epoxies: the role of particle size

2010

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Rubber toughened epoxies are used in a wide range of applications including adhesives when toughness is a crucial property. It is well known that the cavitation of the rubber particles is an important process to optimise the toughness of such materials. This paper describes the development of a predictive model to describe the dependence of rubber particle cavitation on particle size. The model is developed using a combination of experimental observations and finite element simulations.Predictions have been obtained for both uniaxial loading conditions and the triaxial loading conditions expected ahead of a crack. The model has been extended to consider the cavitation of nano-sized 'rubber' particles.

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Section: Energy Contributionssupporting

confidence: 70%

Particle cavitation in rubber toughened epoxies: the role of particle size

2010

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“…[3][4][5], which is consistent with the previous experiments with the other composites' types [12,23], while output coefficients of variation totally linearly depend on the input…”

Section: Computer Analysis Of the Homogenized Elasticity Tensorsupporting

confidence: 89%

“…An uncertainty of material, physical and even geometrical parameters [1,2] in polymers and especially elastomers [3,4] is intuitively natural. A random dispersion of the particles, unstable thermal manufacturing processes, reinforcing and filling particles distribution as well as agglomeration and polimerization processes make the standard deviations of material characteristics really very important.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty in effective elastic properties of particle filled polymers by the Monte-Carlo simulation

Kamiński

Lauke

2015

Composite Structures

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“…It is documented by the various orders' approximations that this minimization is of the paramount importance for the LSM implemented and reduces an average order of the error and fitting variance with many orders. Further applications of this dual computational strategy for some more extended RVEs containing larger agglomeration of the particles, rubber molecules with some interphases [6] and, especially, with the constitutive law closer to the real polymers including softening [13] and thermo-visco-elastoplasticity [16] would be interesting in the context of an uncertainty propagation into the homogenization procedure. Stochastic homogenization procedure may be extended towards other types of the composites like these with both long and short fibers [15] or with metallic components [8] also.…”

Section: Discussionmentioning

confidence: 99%

Dual probabilistic homogenization of polymers filled with rubber particles

Kamiński

Lauke

2014

Z Angew Math Mech

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A comparison of two different probabilistic techniques in the context of a homogenization of the polymer filled with rubber particles is demonstrated in this work. Homogenization approach is based on deformation energy of the Representative Volume Element containing a single spherical particle, which must be equal for the heterogeneous and equivalent homogenized bodies. Both probabilistic methods are based on a series of the Finite Element Method experiments that leads to determination of effective characteristics as the polynomial forms of the input random variables and it is done by using the optimized Weighted Least Squares Method. These functions are next integrated in the semi-analytical probabilistic approach and embedded into the Taylor series expansions as the derivatives in the framework of the alternative stochastic perturbation-based approach. These two strategies are employed to study a polymeric matrix with rubber particle as the filler because such a composite has enormously large contrast in-between expectations of the two random Young's moduli of its constituents. Numerical optimization concerns the order of the approximating polynomial that needs to maximize correlation with the set of trial points and minimize at the same time both computational error with the least squares standard deviation.

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Criteria for cavitation of rubber particles: Influence of plastic yielding in the matrix

Cited by 22 publications

References 28 publications

Particle cavitation in rubber toughened epoxies: the role of particle size

Particle cavitation in rubber toughened epoxies: the role of particle size

Uncertainty in effective elastic properties of particle filled polymers by the Monte-Carlo simulation

Dual probabilistic homogenization of polymers filled with rubber particles

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