A micromechanical model for effective elastic properties of particulate composites with imperfect interfacial bonds

Nie, Shihua; Basaran, Cemal

doi:10.1016/j.ijsolstr.2004.12.009

Cited by 83 publications

(53 citation statements)

References 22 publications

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“…Taking the imperfect interface into consideration, Teng (2010) developed a three-phase model derived from the Mori-Tanaka solution whereas Benveniste (1987) and Nie and Basaran (2005) have used spring elements to model this imperfect interface. Williams (2010) derived an analytical model for the prediction of the debonding process in a particle filled composite based on a unit cell.…”

Section: Introductionmentioning

confidence: 99%

Development of an image-based numerical model for predicting the microstructure–property relationship in alumina trihydrate (ATH) filled poly(methyl methacrylate) (PMMA)

2018

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Particulate composites are found in a wide range of applications. Their heterogeneous microstructure affects their bulk behavior and structural performance, however tools for predicting this important structure-property relationship are still lacking. In this study, a numerical method that can provide predictions of the mechanical response of a particulate polymeric matrix composite as a function of volume fraction and particle mean diameter is presented. The work is derived for an alumina trihydrate filled poly(methyl methacrylate) but the methodology is generic and can be used for any particulate composite. Representative Volume elements are determined through images obtained from scanning electron microscopy. The model takes into account the possibility of failure through interface debonding as well as cracks through the matrix. The model predictions for the modulus and fracture strength of the composites are validated through independent experiments on the composite. The numerical results are also used to qualitatively explain the trends measured regarding the fracture toughness of the composites. Compared to other literature on particulate composites, our study is the first to report accurate stress-strain distributions as well as fracture predictions whilst all the necessary model parameters defining the failure criteria are all derived through independent experiments. This paves R. Zhang · J. Y. S. Li-Mayer · M. N. Charalambides (B) Department of Mechanical Engineering, Imperial College London, South Kensington, London SW7 2AZ, UK e-mail: m.charalambides@imperial.ac.uk the way for a relatively simple methodology for determining structure-property relationships in composites design, enabling smarter material utilization and optimal mechanical properties.

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Section: Introductionmentioning

confidence: 99%

Development of an image-based numerical model for predicting the microstructure–property relationship in alumina trihydrate (ATH) filled poly(methyl methacrylate) (PMMA)

2018

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“…Actually there are many types of inclusions, such as quartz, calcite and dolomite, in the shale rock [9][10][11][12][13][14]. And the inclusions are not perfectly bonded to the matrix phase of shale rock, which implies that there are interfacial transition zones (ITZs) [16][17][18][19]. To address these issues, in this extension we propose a multiscale (from nanoscale to macroscale) predicting framework for the shale rock's transversely isotropic properties considering the multi-inclusion and ITZ effects with a new multilevel micromechanical homogenization scheme.…”

Section: Introductionmentioning

confidence: 99%

Multi-scale approach for modeling the transversely isotropic elastic properties of shale considering multi-inclusions and interfacial transition zone

Chen

Nezhad

Fisher

et al. 2016

International Journal of Rock Mechanics and Mining Sciences

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“…Figure 8 presents the effective Young's modulus for spherical inclusions. A comparison between the models reported in Nie and Basaran [28] and Ju and Chen [18] with the lower bound (7) for the three-phase composite Table 1. The effective Young's modulus and the lower bound can be calculated from the well-known expression E = 9km/(3k + m) for an isotropic composite.…”

Section: Long Cylindrical Fibersmentioning

confidence: 99%

Variational bounds for anisotropic elastic multiphase composites with different shapes of inclusions

et al. 2008

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In the present work, unified formulae for the overall elastic bounds for multiphase transversely isotropic composites with different geometrical types of inclusions embedded in a matrix are calculated, including the spherical and long or short continuous cylindrical fiber cases. The influence of the different geometrical configurations of the inclusions on the composites is studied. The transversely isotropic effective bounds are obtained by applying the variational formulation for anisotropic composites developed by Willis, which relies on expressions for the static transversely isotropic Green's function. Some numerical calculations and comparisons with the effective coefficients derived from the self-consistent approach, asymptotic homogenization method, and finite element method (FEM) are shown for different aspect ratio values, exhibiting good agreement.

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A micromechanical model for effective elastic properties of particulate composites with imperfect interfacial bonds

Cited by 83 publications

References 22 publications

Development of an image-based numerical model for predicting the microstructure–property relationship in alumina trihydrate (ATH) filled poly(methyl methacrylate) (PMMA)

Development of an image-based numerical model for predicting the microstructure–property relationship in alumina trihydrate (ATH) filled poly(methyl methacrylate) (PMMA)

Multi-scale approach for modeling the transversely isotropic elastic properties of shale considering multi-inclusions and interfacial transition zone

Variational bounds for anisotropic elastic multiphase composites with different shapes of inclusions

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