Effect of inclusion size on mechanical properties of polymeric composites with micro and nano particles

Cho, J.; Joshi, Mangala; Sun, C. T.

doi:10.1016/j.compscitech.2005.12.028

Cited by 464 publications

(241 citation statements)

References 29 publications

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“…As a result, homogenization methods based on this classical Eshelby tensor cannot capture the inclusion (particle) size effect on elastic properties exhibited by particle-matrix composites (e.g. Vollenberg & Heikens 1989;Cho et al 2006;Marcadon et al 2007;Gao 2008). This has motivated studies on Eshelby-type inclusion problems using higher order elasticity theories, which contain material length scale parameters and can describe size-dependent elastic deformations of polymers and other materials (e.g.…”

Section: Introductionmentioning

confidence: 99%

Strain gradient solution for Eshelby’s ellipsoidal inclusion problem

Gao

2010

Proc. R. Soc. A.

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Eshelby's problem of an ellipsoidal inclusion embedded in an infinite homogeneous isotropic elastic material and prescribed with a uniform eigenstrain and a uniform eigenstrain gradient is analytically solved. The solution is based on a simplified strain gradient elasticity theory (SSGET) that contains one material length scale parameter in addition to two classical elastic constants. The fourth-order Eshelby tensor is obtained in analytical expressions for both the regions inside and outside the inclusion in terms of two line integrals and two surface integrals. This non-classical Eshelby tensor consists of a classical part and a gradient part. The former involves Poisson's ratio only, while the latter includes the length scale parameter additionally, which enables the newly obtained Eshelby tensor to capture the inclusion size effect, unlike its counterpart based on classical elasticity. The accompanying fifth-order Eshelby-like tensor relates the prescribed eigenstrain gradient to the disturbed strain and has only a gradient part. When the strain gradient effect is not considered, the new Eshelby tensor reduces to the classical Eshelby tensor, and the Eshelby-like tensor vanishes. In addition, the current Eshelby tensor for the ellipsoidal inclusion problem includes those for the spherical and cylindrical inclusion problems based on the SSGET as two limiting cases. The nonclassical Eshelby tensor depends on the position and is non-uniform even inside the inclusion, which differ from its classical counterpart. For homogenization applications, the volume average of the new Eshelby tensor over the ellipsoidal inclusion is analytically obtained. The numerical results quantitatively show that the components of the newly derived Eshelby tensor vary with both the position and the inclusion size, unlike their classical counterparts. When the inclusion size is small, it is found that the contribution of the gradient part is significantly large. It is also seen that the components of the averaged Eshelby tensor change with the inclusion size: the smaller the inclusion, the smaller the components. Moreover, these components are observed to approach the values of their classical counterparts from below when the inclusion size becomes sufficiently large.

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Section: Introductionmentioning

confidence: 99%

Strain gradient solution for Eshelby’s ellipsoidal inclusion problem

Gao

2010

Proc. R. Soc. A.

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“…The smaller particles may have a higher surface area than that of larger particles, and therefore induce excellent bonding between filler and matrix [47].…”

Section: Introductionmentioning

confidence: 99%

Nucleation ability of advanced functional silica/lignin hybrid fillers in polypropylene composites

Borysiak

Kłapiszewski

Bula

et al. 2016

J Therm Anal Calorim

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Novel advanced functional silica/lignin hybrid fillers were synthesized for the purpose of their application in composites with polypropylene. The use of lignin for the production of hybrid fillers is justified due to the advantages such as reduction in cost of products, improvement in biodegradability as well as antioxidant and antimicrobial properties. The study encompasses an analysis of the dispersive and morphological properties of the hybrid fillers, and investigations of phase transitions and the supermolecular structure of the composites by means of differential scanning calorimetry, polarized light microscopy, and X-ray diffractometry. The nucleation activity of the hybrid fillers was found to be strongly correlated with the chemical composition of the fillers, and their dispersive properties and porous structure characteristics. Furthermore, the particle size and area surface of the hybrid fillers play an important role in the development of polymorphic varieties of the polypropylene matrix. The study also discusses the mechanism of the formation of the b-PP variety and the transcrystalline structure in the context of the nucleation ability of the hybrid fillers. The investigations are very significant because they address the impact of the actual physicochemical parameters of the hybrid fillers on the nucleation ability and structure of composite materials.

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“…Therefore, YAl 2 intermetallic compound particles are considered to have the potential of application as reinforcement in composites. Additionally, the mechanical properties of metal matrix composites are improved with decreasing particle size, especially when the particle size is in the submicron and nanometer range [12,13].…”

Section: Introductionmentioning

confidence: 99%

Microstructure, properties and application of YAl2 intermetallic compound as particle reinforcements

Li¹,

Zhang²,

Niu³

et al. 2014

Materials Science and Engineering: A

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An yttrium aluminum (YAl 2 ) intermetallic compound ingot was prepared in an induction furnace under vacuum. The microstructure of YAl 2 ingot was characterized by optical microscopy, scanning electron microscopy, and X-ray diffraction. The load bearing response of YAl 2 intermetallic was investigated and compared with SiC ceramic by indentation combined with optical microscopy and scanning electron microscopy. Additionally, the tensile properties of the Mg-Li matrix composites reinforced with ultrafine YAl 2 particles fabricated by planet ball milling were tested.The results show that the intermetallic compound ingot in this experiment is composed of a main face-centered-cubic structure YAl 2 phase, a small amount of YAl phase, and minor Y and Al-rich phases. YAl 2 intermetallic compound has excellent stability and shows better capability in crack resistance than SiC ceramic. The YAl 2 intermetallic compound has better deformation compatibility with the Mg-14Li-3Al matrix than SiC reinforcement with the matrix, which leads to the superior resistance to crack for YAl 2p /Mg-14Li-3Al composite compared to SiC p /Mg-14Li-3Al composite.2

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Effect of inclusion size on mechanical properties of polymeric composites with micro and nano particles

Cited by 464 publications

References 29 publications

Strain gradient solution for Eshelby’s ellipsoidal inclusion problem

Strain gradient solution for Eshelby’s ellipsoidal inclusion problem

Nucleation ability of advanced functional silica/lignin hybrid fillers in polypropylene composites

Microstructure, properties and application of YAl2 intermetallic compound as particle reinforcements

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