A modified classic‐micromechanics approach to predict effective elastic properties of nanoparticles reinforced polymers

Dona, Mohammad Hosein Karimi; Taheri‐Behrooz, Fathollah; Mohammadi, Bijan

doi:10.1002/pc.26526

Cited by 5 publications

(2 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the research work recently published by our research group, the modified Eshelby strain concentration tensor AME for a two-phase composite is given by 57 where all terms for the matrix and nanoparticles are represented by the superscripts (1) and (2), respectively. Additionally, I, L, and C denote the identity tensor, Eshelby, and fourth-order stiffness tensor, respectively.…”

Section: Modified Analytical Modelmentioning

confidence: 99%

Effect of intercalated and exfoliated graphite particles on the mechanical properties of polymer composite: A micromechanics-computational approach

Karimi Dona,

Taheri-behrooz,

Mohammadi

2023

Journal of Reinforced Plastics and Composites

Self Cite

View full text Add to dashboard Cite

This study investigated the effects of intercalation and exfoliation of the graphite flake particles on the mechanical properties of elastomeric composites using analytical, computational, and experimental techniques. Relying on the modified Eshelby and incremental Mori–Tanaka approach, a new micromechanics model was proposed to estimate Young’s modulus and develop a constitutive model for expanded graphite (EG)-filled elastomer in finite strain deformation. It was found that when the initial graphite flakes expanded, the actual volume fraction and ultimate aspect ratio of the dispersed particles significantly affected the mechanical properties of the EG-reinforced composites. The present model and subsequent predictions reflect the initial flake diameter, actual volume fraction, ultimate aspect ratio of the particles, and other convenient physical properties of the composite constituents. In addition, molecular dynamics simulations were performed to evaluate the elastic properties of the EG-Matrix interphase region using the COMPASS force field function. The MD results showed that Young’s modulus of the interphase region increased significantly as the quantity of the graphene layer increased. The micromechanics-constitutive model results were validated using the experimentally determined stress–strain relation of the composites. EG- and CB-elastomer nanocomposite specimens were fabricated and tested in the experimental program. Field emission scanning electron microscopy (FESEM) analysis of the cryo-fractured surfaces of the elastomer compounds showed good interactions between the constituents. Numerical computations indicated that the proposed model incorporating the new parameters could accurately predict the experiment at a small particle concentration.

show abstract

Section: Modified Analytical Modelmentioning

confidence: 99%

Effect of intercalated and exfoliated graphite particles on the mechanical properties of polymer composite: A micromechanics-computational approach

Karimi Dona,

Taheri-behrooz,

Mohammadi

2023

Journal of Reinforced Plastics and Composites

Self Cite

View full text Add to dashboard Cite

show abstract

“…These micromechanical constitutive models utilize the dilute inclusion method, 24 Mori-Tanaka method, [25][26][27][28][29][30] and self-consistent method, [31][32][33][34] all based on Eshelby's equivalence principle 24 and Hill's incremental theory. 35 Considering the concept of eigenstrain in nanoparticle reinforced polymer composites, Karimi Dona et al 36 developed an improved Mori-Tanaka and self-consistent model to effectively predict the effective elastic properties of the nanoparticle/polymer. Using the concept of the linear comparison composite, 37 the inelastic constitutive laws can be readily introduced into the construction of the micromechanical models, following appropriate linearization techniques.…”

Section: Introductionmentioning

confidence: 99%

A micromechanical cyclic constitutive model for ratchetting deformation of polymeric composites with imperfect interface

Qin,

Lu,

Zhang

et al. 2023

Polymer Composites

View full text Add to dashboard Cite

In this study, a micromechanical cyclic constitutive model for accurately describing the ratchetting deformation of polymeric composites is proposed. The model is based on the mean‐field homogenization method and incorporates the nonlinear viscoelastic‐viscoplastic (VE‐VP) cyclic constitutive model of the polymeric matrix and the imperfect interface. First, the nonlinear VE‐VP model was linearized using the incremental affine method and then was introduced into the homogenization process. The imperfect interface was represented using a linear spring model. A modified Mori‐Tanaka model was developed to incorporate the nonlinear VE‐VP model and imperfect interface into the micromechanical constitutive model. To implement the proposed micromechanical model, a numerical algorithm was developed. The model is capable of capturing the influence of the imperfect interface on the ratchetting deformation of polymeric composites. Furthermore, it is applicable to simulate various loading histories, including monotonic tension, stress relaxation, creep, and uniaxial ratchetting loads. The proposed model was validated by comparing its simulations with those obtained from the full‐field finite element method (FEM) model. The proposed model can predict the ratchetting deformation of polymeric composites and promote the practical application of these material in structures.Highlights A micromechanical cyclic constitutive model is developed to describe the ratchetting deformation of polymeric composites with imperfect interface. Nonlinear viscoelastic‐viscoplastic deformation of polymeric matrix is considered. A modified Mori‐Tanaka method is employed to incorporate the nonlinear constitutive model and imperfect interface into the process of homogenization. Good agreement between simulations of the proposed model and the full‐field FEM model under various loading histories.

show abstract

Micromechanics modeling on the prediction of dielectric constant of polymer‐matrix composites considering inhomogeneity interaction

Guo

2024

Polymer Composites

View full text Add to dashboard Cite

Predicting the dielectric constant of composites based on their component characteristics can accelerate the development of high‐energy storage dielectrics. In this work, to take into account the shape and interaction of randomly oriented inhomogeneities on the dielectric properties of composites, the orientation interaction model (OIM) initially used for composite stiffness prediction is adopted to predict the dielectric constant of composites. OIM applies to multi‐phase composites, and the inhomogeneities are approximated using ellipsoids in OIM. To verify the proposed model, some test data are adopted, and the model predictions match well with the test data. It is found that the inhomogeneity shape has a large influence on the dielectric constant of composites, and the influence increases with increase of the dielectric property difference between inhomogeneities and the matrix. The model captures that at the same inhomogeneity volume fraction, composites containing high aspect ratio inhomogeneities exhibit a high dielectric constant, and it shows penny‐shaped inhomogeneities perform better than cylindrical inhomogenities on increasing the dielectric constant of composites.Highlights The interaction among randomly oriented inhomogeneities is considered. Every parameter can be determined based on the microstructure of composites. The proposed model applies to multi‐phase composites.

show abstract

A modified classic‐micromechanics approach to predict effective elastic properties of nanoparticles reinforced polymers

Cited by 5 publications

References 45 publications

Effect of intercalated and exfoliated graphite particles on the mechanical properties of polymer composite: A micromechanics-computational approach

Effect of intercalated and exfoliated graphite particles on the mechanical properties of polymer composite: A micromechanics-computational approach

A micromechanical cyclic constitutive model for ratchetting deformation of polymeric composites with imperfect interface

Micromechanics modeling on the prediction of dielectric constant of polymer‐matrix composites considering inhomogeneity interaction

Contact Info

Product

Resources

About