Development of cubic orthogonal skeleton or three perpendicular plates system for prediction of Young’s modulus in polymer nanocomposites assuming the interphase

Zare, Yasser

doi:10.1007/s00396-016-3960-1

Cited by 8 publications

(3 citation statements)

References 38 publications

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“…This model was used to forecast the stiffness of nanocomposites. [43] However, the excellent tensile modulus of nanoparticles (e.g., 178 GPa for clay [44] ) removes the term (1 À p)/E f simplifying the model to:…”

Section: Simulation Processmentioning

confidence: 99%

“…This model was used to forecast the stiffness of nanocomposites. [ 43 ] However, the excellent tensile modulus of nanoparticles (e.g., 178 GPa for clay [ 44 ] ) removes the term (1 − p )/ E f simplifying the model to:

E = E_{m} p ((), 2 - p) + \frac{E_{m} {(1 - p)}^{2}}{p} .

The relative modulus as E / E m can be suggested by,

E_{R} = p ((), 2 - p) + \frac{{((), 1 - p)}^{2}}{p} .

However, this model does not undertake the interphase role in the nanocomposite's modulus. It is correct that the Kolarik model is valid for calculating the modulus of a polymer composite at macroscale.…”

Section: Simulation Processmentioning

confidence: 99%

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Tensile modulus of clay‐reinforced system supposing the interphase effectiveness for load transferring

Zare

Rhee

2021

Polymer Composites

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In this work, we focus on the minimum interfacial shear modulus (S c ) and interfacial shear modulus (S i ) controlling the efficiency of interphase zone in polymer clay nanocomposites, since the stress transferring through interphase section handles the stress bearing of samples. The roles of "S c " and "S i " in the effective thickness and concentration of interphase zone are clarified. Moreover, a model based on Kolarik system is developed for modulus of clayreinforced nanocomposites, which reflects the efficiency of interphase zone. The experimental data of tensile modulus for many samples display good matching with the predictions of the advanced model. Also, all model parameters properly manipulate the nanocomposite's modulus. Thick clay (t > 4 nm) cannot generate the interphase zone in the samples. A poor "S c ," high "S i ," and thin clay improve the modulus of nanocomposites, but very high "S c ," extremely poor "S i ," or thick clay cause a poor nanocomposite. A high value of S c = 0.21 GPa deteriorates the reinforcing efficiency of clay in nanocomposites. Furthermore, low S i < 35 GPa produces a poorer nanocomposite than the polymer matrix. Additionally, complete exfoliation of thin clay (t = 1 nm) causes 900% improvement in the nanocomposite's modulus.

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Section: Simulation Processmentioning

confidence: 99%

“…This model was used to forecast the stiffness of nanocomposites. [ 43 ] However, the excellent tensile modulus of nanoparticles (e.g., 178 GPa for clay [ 44 ] ) removes the term (1 − p )/ E f simplifying the model to:

E = E_{m} p ((), 2 - p) + \frac{E_{m} {(1 - p)}^{2}}{p} .

The relative modulus as E / E m can be suggested by,

E_{R} = p ((), 2 - p) + \frac{{((), 1 - p)}^{2}}{p} .

Section: Simulation Processmentioning

confidence: 99%

Tensile modulus of clay‐reinforced system supposing the interphase effectiveness for load transferring

Zare

Rhee

2021

Polymer Composites

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“…[ 9 ] Considering the further development of nanocomposites, easy‐fabricated, and low‐cost products are expected in this field. [ 9,10 ] Due to the strong correlation between properties and microstructures of composites, the state of dispersion is one of the key parameters in the synthesis polymer‐matrix nanocomposites and plays an important role in improving the performances of polymer nanocomposites. [ 6,11–14 ] For the purpose of easy‐fabricated and low‐cost products, the optimization of nanocomposites has been carried out by improving the dispersion state of fillers and interfacial adhesion between nanoparticles and polymer matrix.…”

Section: Introductionmentioning

confidence: 99%

Quantitative evaluation of nanoparticle dispersion based on modeling methods and image analysis: A case study on nano‐Sb₂O₃ filled Poly (butylene terephthalate) composites

Kang

Niu

et al. 2021

Polymer Composites

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The dispersion state of filler in polymer‐matrix composites plays a significant role in determining the performance of nanocomposites. Thus, the quantification of dispersion analysis for inclusions in polymer composites is crucial. In this paper, the robust methods for the quantitative assessment of dispersion are developed. The methods are based on the modeling evaluation and direct analysis of scanning electron microscopy micrographs using binary image technology. The dispersion degree in polymer nanocomposites reinforced with inorganic nanoparticles is calculated by modeling method. In addition, the effect of dispersion on the tensile modulus of nanocomposites is analyzed by modeling method. To further quantify the dispersion of nanoparticles, the mean distance value between nanoparticles is measured. The dispersion index D is defined as the probability of inclusion particles free‐path spacing, according to the frequency distribution of particle spacing data. The dispersion states of different samples are compared to examine the availability of the analysis methods to various dispersion conditions such as the effect of aggregation, agglomeration, cluster distribution, and surface treatment of nanoparticles. Besides, another modeling methodology is established based on inter‐particle distance of the nanocomposites. In this model, the dispersion of the nanoparticles is assessed by comparing the inter‐particle distance with the theoretical value assuming a perfect dispersion. In the case of nano‐Sb2O3 filled Poly (butylene terephthalate) composites, the composites with different dispersion and distribution characteristics were prepared. And the microstructures of these composites are also employed to access the applicability and functionality of the analysis methods.

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Evaluation of nanoparticle dispersion and its influence on the tensile modulus of polymer nanocomposites by a modeling method

Zare

2017

Colloid Polym Sci

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Development of cubic orthogonal skeleton or three perpendicular plates system for prediction of Young’s modulus in polymer nanocomposites assuming the interphase

Cited by 8 publications

References 38 publications

Tensile modulus of clay‐reinforced system supposing the interphase effectiveness for load transferring

Tensile modulus of clay‐reinforced system supposing the interphase effectiveness for load transferring

Quantitative evaluation of nanoparticle dispersion based on modeling methods and image analysis: A case study on nano‐Sb₂O₃ filled Poly (butylene terephthalate) composites

Evaluation of nanoparticle dispersion and its influence on the tensile modulus of polymer nanocomposites by a modeling method

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Development of cubic orthogonal skeleton or three perpendicular plates system for prediction of Young’s modulus in polymer nanocomposites assuming the interphase

Cited by 8 publications

References 38 publications

Tensile modulus of clay‐reinforced system supposing the interphase effectiveness for load transferring

Tensile modulus of clay‐reinforced system supposing the interphase effectiveness for load transferring

Quantitative evaluation of nanoparticle dispersion based on modeling methods and image analysis: A case study on nano‐Sb2O3 filled Poly (butylene terephthalate) composites

Evaluation of nanoparticle dispersion and its influence on the tensile modulus of polymer nanocomposites by a modeling method

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Quantitative evaluation of nanoparticle dispersion based on modeling methods and image analysis: A case study on nano‐Sb₂O₃ filled Poly (butylene terephthalate) composites