156
6 Micromechanical Models of PVA-Based Bionanocomposite Films
References
1. Halpin Affdl JC, Kardos J (1976) The Halpin-Tsai equations: a review. Polym Eng Sci
16(5):344–352
2. Mori T, Tanaka K (1973) Average stress in matrix and average elastic energy of materials with
misfitting inclusions. Acta Metall 21(5):571–574
3. Zare Y, Garmabi H (2014) Attempts to simulate the modulus of polymer/carbon nanotube
nanocomposites and future trends. Polym Rev 54(3):377–400
4. Hu K, Gupta MK, Kulkarni DD, Tsukruk VV (2013) Ultra-robust graphene oxide-silk fibroin
nanocomposite membranes. Adv Mater 25(16):2301–2307
5. Sisakht Mohsen R, Saied NK, Ali Z, Hosein EM, Hasan P (2009) Theoretical and experimental
determination of tensile properties of nanosized and micron-sized CaCO 3 /PA66 composites.
Polym Compos 30(3):274–280
6. Zare Y (2016) Development of simplified Tandon-Weng solutions of Mori-Tanaka theory for
Young’s modulus of polymer nanocomposites considering the interphase. J Appl Polym Sci
133(33):43816
7. Zare Y (2016) The roles of nanoparticles accumulation and interphase properties in properties
of polymer particulate nanocomposites by a multi-step methodology. Compos Part A: Appl
Sci Manuf 91:127–132
8. Dwivedi H, Mathur RB, Dhami TL, Bahl OP, Monthioux M, Sharma SP (2006) Evidence for
the benefit of adding a carbon interphase in an all-carbon composite. Carbon 44(4):699–709
9. Mousa M, Dong Y (2018) Novel three-dimensional interphase characterisation of polymer
nanocomposites using nanoscaled topography. Nanotechnology 29(38):385701
10. Tandon GP, Weng GJ (1984) The effect of aspect ratio of inclusions on the elastic properties
of unidirectionally aligned composites. Polym Compos 5(4):327–333
11. Chen B, Evans JR (2006) Nominal and effective volume fractions in polymer-clay nanocomposites. Macromolecules 39(5):1790–1796
12. Van Es MA (2001). Polymer-clay nanocomposites: the importance of particle dimensions.
Ph.D. thesis, Delft University of Technology, Netherlands
13. Wan C, Chen B (2012) Reinforcement and interphase of polymer/graphene oxide nanocomposites. J Mater Chem 22(8):3637–3646
14. Wan C, Frydrych M, Chen B (2011) Strong and bioactive gelatin–graphene oxide nanocomposites. Sof Matter 7(13):6159–6166
15. Buenviaje C, Ge S, Rafailovich M, Sokolov J, Drake JM, Overney RM (1999) Confined flow
in polymer films at interfaces. Langmuir 15(19):6446–6450
16. Lu B, Torquato S (1992) Nearest-surface distribution functions for polydispersed particle
systems. Phys Rev A 45(8):5530
17. Torquato S (2002) Random heterogeneous materials: microstructure and macroscopic properties. Springer, New York
18. Mansoori G, Carnahan NF, Starling KE, Leland TW Jr (1971) Equilibrium thermodynamic
properties of the mixture of hard spheres. J Chem Phys 54(4):1523–1525
19. Underwood EE (1969) Stereology, or the quantitative evaluation of microstructures. J Microsc
89(2):161–180
20. Xu WX, Chen HS (2013) Analytical and modeling investigations of volume fraction of interfacial layers around ellipsoidal aggregate particles in multiphase materials. Model Simul Mat
Sci Eng 21(1):015005
21. Xu W, Chen W, Chen H (2014) Modeling of soft interfacial volume fraction in composite
materials with complex convex particles. J Chem Phys 140(3):034704
22. Xu WX, Chen HS (2013) Numerical investigation of effect of particle shape and particle
size distribution on fresh cement paste microstructure via random sequential packing of
dodecahedral cement particles. Comput Struct 114–115:35–45
23. Xu W, Duan Q, Ma H, Chen W, Chen H (2015) Interfacial effect on physical properties of composite media: Interfacial volume fraction with non-spherical hard-core-soft-shellstructured particles. Sci Rep 5:16003
6 Micromechanical Models of PVA-Based Bionanocomposite Films
References
1. Halpin Affdl JC, Kardos J (1976) The Halpin-Tsai equations: a review. Polym Eng Sci
16(5):344–352
2. Mori T, Tanaka K (1973) Average stress in matrix and average elastic energy of materials with
misfitting inclusions. Acta Metall 21(5):571–574
3. Zare Y, Garmabi H (2014) Attempts to simulate the modulus of polymer/carbon nanotube
nanocomposites and future trends. Polym Rev 54(3):377–400
4. Hu K, Gupta MK, Kulkarni DD, Tsukruk VV (2013) Ultra-robust graphene oxide-silk fibroin
nanocomposite membranes. Adv Mater 25(16):2301–2307
5. Sisakht Mohsen R, Saied NK, Ali Z, Hosein EM, Hasan P (2009) Theoretical and experimental
determination of tensile properties of nanosized and micron-sized CaCO 3 /PA66 composites.
Polym Compos 30(3):274–280
6. Zare Y (2016) Development of simplified Tandon-Weng solutions of Mori-Tanaka theory for
Young’s modulus of polymer nanocomposites considering the interphase. J Appl Polym Sci
133(33):43816
7. Zare Y (2016) The roles of nanoparticles accumulation and interphase properties in properties
of polymer particulate nanocomposites by a multi-step methodology. Compos Part A: Appl
Sci Manuf 91:127–132
8. Dwivedi H, Mathur RB, Dhami TL, Bahl OP, Monthioux M, Sharma SP (2006) Evidence for
the benefit of adding a carbon interphase in an all-carbon composite. Carbon 44(4):699–709
9. Mousa M, Dong Y (2018) Novel three-dimensional interphase characterisation of polymer
nanocomposites using nanoscaled topography. Nanotechnology 29(38):385701
10. Tandon GP, Weng GJ (1984) The effect of aspect ratio of inclusions on the elastic properties
of unidirectionally aligned composites. Polym Compos 5(4):327–333
11. Chen B, Evans JR (2006) Nominal and effective volume fractions in polymer-clay nanocomposites. Macromolecules 39(5):1790–1796
12. Van Es MA (2001). Polymer-clay nanocomposites: the importance of particle dimensions.
Ph.D. thesis, Delft University of Technology, Netherlands
13. Wan C, Chen B (2012) Reinforcement and interphase of polymer/graphene oxide nanocomposites. J Mater Chem 22(8):3637–3646
14. Wan C, Frydrych M, Chen B (2011) Strong and bioactive gelatin–graphene oxide nanocomposites. Sof Matter 7(13):6159–6166
15. Buenviaje C, Ge S, Rafailovich M, Sokolov J, Drake JM, Overney RM (1999) Confined flow
in polymer films at interfaces. Langmuir 15(19):6446–6450
16. Lu B, Torquato S (1992) Nearest-surface distribution functions for polydispersed particle
systems. Phys Rev A 45(8):5530
17. Torquato S (2002) Random heterogeneous materials: microstructure and macroscopic properties. Springer, New York
18. Mansoori G, Carnahan NF, Starling KE, Leland TW Jr (1971) Equilibrium thermodynamic
properties of the mixture of hard spheres. J Chem Phys 54(4):1523–1525
19. Underwood EE (1969) Stereology, or the quantitative evaluation of microstructures. J Microsc
89(2):161–180
20. Xu WX, Chen HS (2013) Analytical and modeling investigations of volume fraction of interfacial layers around ellipsoidal aggregate particles in multiphase materials. Model Simul Mat
Sci Eng 21(1):015005
21. Xu W, Chen W, Chen H (2014) Modeling of soft interfacial volume fraction in composite
materials with complex convex particles. J Chem Phys 140(3):034704
22. Xu WX, Chen HS (2013) Numerical investigation of effect of particle shape and particle
size distribution on fresh cement paste microstructure via random sequential packing of
dodecahedral cement particles. Comput Struct 114–115:35–45
23. Xu W, Duan Q, Ma H, Chen W, Chen H (2015) Interfacial effect on physical properties of composite media: Interfacial volume fraction with non-spherical hard-core-soft-shellstructured particles. Sci Rep 5:16003