Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-23T14:38:50.906Z Has data issue: false hasContentIssue false
  • English
  • Français

Reinforcement Parameter Effect on Properties of Three-Phase Composites

Published online by Cambridge University Press:  10 May 2018

J. Pan ,
L. Bian ,
M. Gao ,
W. Liu  and
Y. Zhao
J. Pan
Affiliation:
Department of Engineering MechanicsYanshan UniversityQinhuangdao, China
L. Bian*
Affiliation:
Department of Engineering MechanicsYanshan UniversityQinhuangdao, China
M. Gao
Affiliation:
Department of Engineering MechanicsYanshan UniversityQinhuangdao, China
W. Liu
Affiliation:
Department of Engineering MechanicsYanshan UniversityQinhuangdao, China
Y. Zhao
Affiliation:
Department of Engineering MechanicsYanshan UniversityQinhuangdao, China
*
*Corresponding author ([email protected])
Get access

Abstract

In this study, a micromechanics model has been proposed for predicting the effects of particle size and aggregation on elastic properties of nanocomposites, and the interphase between the particle and matrix is also taken into account. Inherent characteristics of nanoparticle, such as small size and high surface area ratio, make nanoparticle in a state of unstable energy and easy to agglomerate in matrix. The analytical expressions for the effective elastic modulus of nanocomposites are derived, which can consider the effect of particle agglomeration. The dispersion state or degree of agglomeration of nanoparticle and the thickness and stiffness of interphase are known to have a significant influence on nanocomposites. The results show that the increase of particle radius and agglomeration volume fractions reduces the elastic stiffness of nanocomposites. Moreover, the composite reinforcement can be improved by increases of interphase thickness and stiffness.

Keywords

ParticleInterphaseAgglomerationNanocomposites
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 5 , October 2018 , pp. 629 - 636
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Deng, F. and Van Vliet, K. J., “Prediction of Elastic Properties for Polymer-Particle Nanocomposites Exhibiting an Interphase,” Nanotechnology, 22, 165703 (2011).Google Scholar
2. Jarali, C. S., Patil, S. F. and Pilli, S. C., “Hygro-Thermo-Electric Properties of Carbon Nanotube Epoxy Nanocomposites with Agglomeration Effects,” Mechanics of Advanced Materials & Structures, 22, pp. 428–439 (2014).Google Scholar
3. Wang, Y., Shan, J. W. and Weng, G. J., “Percolation Threshold and Electrical Conductivity of Graphene-Based Nanocomposites with Filler Agglomeration and Interfacial Tunneling,” Journal of Applied Physics, 118, 065101 (2015).Google Scholar
4. Barai, P. and Weng, G. J., “A Theory of Plasticity for Carbon Nanotube Reinforced Composites,” International Journal of Plasticity, 27, pp. 539–559 (2011).Google Scholar
5. Pan, J. and Bian, L. C., “Influence of Agglomeration Parameters on Carbon Nanotube Composites,” Acta Mechanica, 228, pp. 2207–2217 (2017).Google Scholar
6. Hedia, H. S., Aldousari, S. M., Abdellatif, A. K. and Abdelhafeez, G. S., “Effect of Agglomeration and Dispersion on the Elastic Properties of Polymer Nanocomposites: A Monte Carlo Finite Element Analysis,” Materials Testing, 58, pp. 269–279 (2016).Google Scholar
7. Shadafza, E. and Saleh Jalali, R., “The Elastic Modulus of Steel Fiber Reinforced Concrete (SFRC) with Random Distribution of Aggregate and Fiber,” Civil Engineering Infrastructures Journal, 49, pp. 21–32 (2016).Google Scholar
8. Ji, X. Y., Cao, Y. P. and Feng, X. Q., “Micromechanics Prediction of the Effective Elastic Moduli of Graphene Sheet-Reinforced Polymer Nanocomposites,” Modelling & Simulation in Materials Science & Engineering, 18, 045005 (2010).Google Scholar
9. Jarali, C. S., Basavaraddi, S. R., Pilli, S. C., Raja, S. and Karjinni, V. V., “Modelling the Hygro-Thermo-Mechanical Agglomeration Relations of Carbon-Epoxy Hybrid Nanocomposites,” International Journal for Multiscale Computational Engineering, 13, pp. 231–248 (2015).Google Scholar
10. Jarali, C. S., Basavaraddi, S. R., Kiefer, B., Pilli, S. C. and Lu, Y. C., “Modeling of the Effective Elastic Properties of Multifunctional Carbon Nanocomposites Due to Agglomeration of Straight Circular Carbon Nanotubes in a Polymer Matrix,” Journal of Applied Mechanics, 81, pp. 1–11 (2013).Google Scholar
11. Pan, J., Bian, L. C., Zhao, H. C. and Zhao, Y., “A New Micromechanics Model and Effective Elastic Modulus of Nanotube Reinforced Composites,” Computational Materials Science, 113, pp. 21–26 (2016).Google Scholar
12. Bian, L. C., Cheng, Y. and Li, H. J., “A Statistical Study on the Stress–Strain Relation of Progressively Debonded Composites,” Construction & Building Materials, 49, pp. 257–261 (2013).Google Scholar
13. Boutaleb, S., Zaïri, F., Mesbah, A., Naït-Abdelaziz, M. and Gloaguen, J. M., “Micromechanical Modelling of the Yield Stress of Polymer-Particulate Nanocomposites with an Inhomogeneous Interphase,” Procedia Engineering, 1, pp. 217–220 (2009).Google Scholar
14. Xu, W. X., Wu, F., Jiao, Y. and Liu, M. J., “A General Micromechanical Framework of Effective Moduli for the Design of Nonspherical Nano- and Micro-Particle Reinforced Composites with Interface Properties,” Materials & Design, 127, pp. 162–172 (2017).Google Scholar
15. Heydari-Meybodi, M., Saber-Samandari, S. and Sadighi, M., “A New Approach for Prediction of Elastic Modulus of Polymer/Nanoclay Composites by Considering Interfacial Debonding: Experimental and Numerical Investigations,” Composites Science & Technology, 117, pp. 379–385 (2015).Google Scholar
16. Tornabene, F., Fantuzzi, N., Bacciocchi, M. and Viola, E., “Effect of Agglomeration on the Natural Frequencies of Functionally Graded Carbon Nanotube-Reinforced Laminated Composite Doubly-Curved Shells,” Composites Part B Engineering, 89, pp. 187–218 (2016).Google Scholar
17. Richter, S., Saphiannikova, M., Jehnichen, D., Bierdel, M. and Heinrich, G., “Experimental and Theoretical Studies of Agglomeration Effects in Multi-Walled Carbon Nanotube-Polycarbonate Melts,” Express Polymer Letters, 3, pp. 753–768 (2009).Google Scholar
18. Gong, S., Zhu, Z. H., Li, J. and Meguid, S. A., “Modeling and Characterization of Carbon Nanotube Agglomeration Effect on Electrical Conductivity of Carbon Nanotube Polymer Composites,” Journal of Applied Physics, 116, 194306 (2014).Google Scholar
19. Narh, K. A., Jallo, L. and Rhee, K. Y., “The Effect of Carbon Nanotube Agglomeration on the Thermal and Mechanical Properties of Polyethylene Oxide,” Polymer Composites, 29, pp. 809–817 (2008).Google Scholar
20. Dorigato, A., Dzenis, Y. and Pegoretti, A., “Filler Aggregation as a Reinforcement Mechanism in Polymer Nanocomposites,” Mechanics of Materials, 61, pp. 79–90 (2013).Google Scholar
21. Moradi-Dastjerdi, R., Pourasghar, A. and Foroutan, M., “The Effects of Carbon Nanotube Orientation and Aggregation on Vibrational Behavior of Functionally Graded Nanocomposite Cylinders by a Mesh-Free Method,” Acta Mechanica, 224, pp. 2817–2832 (2013).Google Scholar
22. Karevan, M., Pucha, R. V., Bhuiyan, M. A. and Kalaitzidou, K., “Effect of Interphase Modulus and Nanofiller Agglomeration on the Tensile Modulus of Graphite Nanoplatelets and Carbon Nanotube Reinforced Polypropylene Nanocomposites,” Carbon Letters, 11, pp. 325–331 (2010).Google Scholar
23. Lezgy-Nazargah, M., “A Micromechanics Model for Effective Coupled Thermo-Electro-Elastic Properties of Macro Fiber Composites with Interdigitated Electrodes,” Journal of Mechanics, 31, pp. 183–199 (2015).Google Scholar
24. Mashat, D. S., Zenkour, A. M. and Sobhy, M., “Investigation of Vibration and Thermal Buckling of Nanobeams Embedded in An Elastic Medium under Various Boundary Conditions,” Journal of Mechanics, 32, pp. 277–287 (2016).Google Scholar
25. Yang, B. J., Kim, B. R. and Lee, H. K., “Micromechanics-Based Viscoelastic Damage Model for Particle-Reinforced Polymeric Composites,” Acta Mechanica, 223, pp. 1307–1321 (2012).Google Scholar
26. Shi, D. L., Feng, X. Q., Huang, Y. Y., Hwang, K. C. and Gao, H., “The Effect of Nanotube Waviness and Agglomeration on the Elastic Property of Carbon Nanotube-Reinforced Composites,” Journal of Engineering Materials & Technology - Transactions of the Asme, 126, pp. 250–257 (2004).Google Scholar
27. Zare, Y., “Study of Nanoparticles Aggregation/Agglomeration in Polymer Particulate Nanocomposites by Mechanical Properties,” Composites Part A Applied Science & Manufacturing, 84, pp. 158–164 (2016).Google Scholar
28. Odegard, G. M. et al., “Constitutive Modeling of Nanotube-Reinforced Polymer Composite Systems,” Composites Science & Technology, 63, pp. 1671–1687 (2003).Google Scholar