Scholarlink

<p>Nonlinear mechanical properties of semi-crystalline ethylene-butyl co-acrylate (EBA) samples filled with carbon black (CB) particles are reported. Due to their microstructural complexity, including issues such as cross-linking, filler/matrix interfaces, crystallinity, particulate filler networks, and chain entanglement, the understanding of their nonlinear mechanical response remains challenging. Recently, hyperelastic models have provided numerous insights in this field. In this context, combined phenomenological and micromechanical (mixed) models have emerged as a promising approach to capture the experimentally observed hyperelastic behavior of such composites. We apply this concept by exploring various mixed approaches to represent the hyperelastic response, enabling us to systematically extract structural information on EBA-CB composites within certain CB content ranges. Specifically, we consider the continuum hybrid (CH), Bechir 4-term (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({nH}_{G}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="italic">nH</mi> </mrow> <mi>G</mi> </msub> </math></EquationSource> </InlineEquation>), and Anssari-Benam 6-term phenomenological models. Additionally, we focus on the Lim, Wu-Gissen, and Bechir–Chevalier micromechanical models. Least-squares fitting of the stress data from EBA-CB composites is used to determine optimal model parameters. We present a systematic least-square fitting method applied to five models, which shows good agreement with uniaxial tension (UT) data across the entire deformation range studied. Furthermore, our findings suggest that pure shear (PS) and equibiaxial tensile (ET) deformation modes can also be accurately described using parameters obtained from UT data. These results highlight that this class of models can serve as a relatively simple yet powerful tool for exploring the nonlinear stress–strain behavior of elastomers.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Comparing hyperelastic models of the nonlinearity of the mechanical properties of carbon black-filled elastomers

  • 期刊论文

  • 发表日期：

    2025年9月24日

查看全文
  • H. Boulman,
  • I. El Aboudi,
  • A. Mdarhri,
  • C. Brosseau

摘要

Nonlinear mechanical properties of semi-crystalline ethylene-butyl co-acrylate (EBA) samples filled with carbon black (CB) particles are reported. Due to their microstructural complexity, including issues such as cross-linking, filler/matrix interfaces, crystallinity, particulate filler networks, and chain entanglement, the understanding of their nonlinear mechanical response remains challenging. Recently, hyperelastic models have provided numerous insights in this field. In this context, combined phenomenological and micromechanical (mixed) models have emerged as a promising approach to capture the experimentally observed hyperelastic behavior of such composites. We apply this concept by exploring various mixed approaches to represent the hyperelastic response, enabling us to systematically extract structural information on EBA-CB composites within certain CB content ranges. Specifically, we consider the continuum hybrid (CH), Bechir 4-term ( \({nH}_{G}\) nH G ), and Anssari-Benam 6-term phenomenological models. Additionally, we focus on the Lim, Wu-Gissen, and Bechir–Chevalier micromechanical models. Least-squares fitting of the stress data from EBA-CB composites is used to determine optimal model parameters. We present a systematic least-square fitting method applied to five models, which shows good agreement with uniaxial tension (UT) data across the entire deformation range studied. Furthermore, our findings suggest that pure shear (PS) and equibiaxial tensile (ET) deformation modes can also be accurately described using parameters obtained from UT data. These results highlight that this class of models can serve as a relatively simple yet powerful tool for exploring the nonlinear stress–strain behavior of elastomers.