The nonlinear elastic response of filled elastomers: Experiments vs. theory for the basic case of particulate fillers of micrometer size

Leonard, Marc; Wang, Naibin; Lopez-Pamies, Oscar; Nakamura, Tsuneyoshi

doi:10.1016/j.jmps.2019.103781

Cited by 27 publications

(14 citation statements)

References 44 publications

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“…which is precisely the homogenization solution derived by Lopez-Pamies et al (2013); Leonard et al (2020) have just provided experimental evidence of the high accuracy of the result of (36) for elastomers filled with spherical particles that are of micrometer size or larger, which is typically the case for iron particles. In the limit of small deformations as F → I, the free-energy function (36) reduces further to…”

Section: The Homogenization Solution Ofsupporting

confidence: 70%

Two families of explicit models constructed from a homogenization solution for the magnetoelastic response of MREs containing iron and ferrofluid particles

Lefèvre

Danas

Lopez-Pamies

2020

International Journal of Non-Linear Mechanics

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This work puts forth two families of fully explicit continuum or phenomenological models that are constructed by approximating an analytical (but implicit) homogenization solution recently derived for the free-energy function describing the macroscopic magnetoelastic response of two classes of MREs comprised of an isotropic incompressible elastomer filled with a random isotropic distribution of: i) spherical iron particles and ii) spherical ferrofluid particles. Both families are given in terms of free-energy functions W H = W H (F, H) that depend on the deformation gradient F and the Lagrangian magnetic field H and are constructed so as to agree identically with the homogenization solution for small and large applied magnetic fields, this for arbitrary finite deformations and arbitrary volume fractions c of particles in the entire physical range c ∈ [0, 1]. The accuracy of the proposed phenomenological models is assessed inter alia via the direct comparison of their predictions with that of the homogenization solution for a boundary-value problem of both fundamental and practical significance: the magnetostriction response of a spherical MRE specimen subject to a remotely applied uniform magnetic field.

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Section: The Homogenization Solution Ofsupporting

confidence: 70%

Two families of explicit models constructed from a homogenization solution for the magnetoelastic response of MREs containing iron and ferrofluid particles

Lefèvre

Danas

Lopez-Pamies

2020

International Journal of Non-Linear Mechanics

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“…The reason for the different modeling approaches is the nonlinear elastic relation between the stress and strain values of polymeric materials [2][3][4][5]. Generally, under small strains, the polymers behave linearly, but after a certain strain value, the linearity is lost, and the material starts to behave nonlinearly.…”

Section: Introductionmentioning

confidence: 99%

“…In material testing, it is widely used to evaluate the different local strains and deformations on the surface of the specimen [25][26][27]. The results from these experiments can be directly compared to the results of accurately created finite element simulations [5,11,[28][29][30][31]. By this comparison, the different material models can also be validated, and the most suitable ones can be selected [32,33].…”

Section: Introductionmentioning

confidence: 99%

Optical Investigation of the Limits of Modeling the Nonlinear Elastic Behavior of PA6 Using Linear Elastic Material Models

2022

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One of the most critical issues during polymer finite element simulations is the selection of the proper material models. The widely used and accepted multilinear material models require load case-specific material tests, which are time and cost demanding. Data for these characteristics must be acquired by standardized measurements. On the other hand, the parameters required to create a linear elastic material model in most cases are easy to obtain, and the establishment of the model is a shorter process. This research is aimed to provide information to engineers about the possibility of modeling the nonlinear elastic materials by using linear elastic material models and about the limits of such models. To create the most accurate material models, laboratory measurements were performed on polyamide (PA6) material, which is a widely used raw material in the industry. Test specimens were manufactured to obtain material constants according to the ISO 527-2 standard, and for validating the effectiveness of the applied material models, three different tensile specimens were created, which were tested under quasi-static loading in the elastic region. A comprehensive finite element investigation was performed, and the numerical results were then compared to laboratory measurements using the GOM Aramis digital image correlation (DIC) system. By comparing the optically measured strain data to the numerical results, it was determined that the nonlinear elastic materials can be modeled using linear elastic models in a well identifiable strain range with sufficient accuracy.

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“…Furthermore, Berriot [22] modeled the fillerelastomer interaction based on the HNMR experiments on filled rubbers. In the recent developments, Leonard et al [23] proposed a computational method to model the polydimethylsiloxane (PDMS) elastomer with prototypical added fillers. At last, Kluppel and Schramm [24] developed a tube model to study the stress softening of filled elastomers.…”

Section: Introductionmentioning

confidence: 99%

Constitutive modeling for the mechanical behavior of rubber with filler particles

Gour

Singh

Kumar

et al. 2021

Preprint

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The present study deals with the constitutive modeling for the mechanical behavior of rubber with filler particles. An analytical model is developed to predict the mechanical properties of rubber with added filler particles based on experimental observation. To develop the same, a continuum mechanics-based hyperelasticity theory is utilized. The model is validated with the experimental results of the chloroprene and nitrile butadiene rubbers filled with different volume fractions of carbon black and carbon nanoparticles, respectively. The findings of the model agree well with the experimental results. In general, the developed model will be helpful to the materialist community working in characterizing the material behavior of tires and other rubber-like materials.

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The nonlinear elastic response of filled elastomers: Experiments vs. theory for the basic case of particulate fillers of micrometer size

Cited by 27 publications

References 44 publications

Two families of explicit models constructed from a homogenization solution for the magnetoelastic response of MREs containing iron and ferrofluid particles

Two families of explicit models constructed from a homogenization solution for the magnetoelastic response of MREs containing iron and ferrofluid particles

Optical Investigation of the Limits of Modeling the Nonlinear Elastic Behavior of PA6 Using Linear Elastic Material Models

Constitutive modeling for the mechanical behavior of rubber with filler particles

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