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8 - Computational Grains for Composites with Coated Inclusions

Published online by Cambridge University Press:  05 October 2023

Leiting Dong
Affiliation:
Beihang University, China
Satya N. Atluri
Affiliation:
University of California, Irvine
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Summary

In this chapter, Computational Grains are developed for the direct micromechanical modeling of heterogeneous materials reinforced with coated particulate inclusions. Each CG is treated as a three-phase particle/coating/matrix grain, wherein the exact internal displacement field is assumed in terms of the P-N solutions that are further represented by the spherical harmonics. The Computational Grain program generates accurate homogenized moduli as well as exact local interphase stress distributions, with good agreement to the very fine-mesh FE technique and the CSA (Composite Sphere Assemblage) model. The effects of the material properties as well as the thickness of the coating system on the effective properties and localized stress concentrations are also examined for the CGs, where the former parameters play more important roles than the latter ones in altering the response of composite materials. Finally, a simpler implementation of periodic boundary conditions on the SERVEs is developed through the surface-to-surface constraints of the displacement field on the opposite faces. The developed CGs provide accurate and efficient computational tools in the direct modeling of the micromechanical behavior of the particulate composites reinforced with coatings/interphases, which cannot be easily accomplished by the off-the-shelf FE packages and classical models.

Type
Chapter
Information
Computational Grains
Micromechanical Genome for Heterogeneous Materials
, pp. 144 - 167
Publisher: Cambridge University Press
Print publication year: 2023

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References

Wang, G., Dong, L., Junbo, W., and Atluri, S., “Three-Dimensional Trefftz Computational Grains for the Micromechanical Modeling of Heterogeneous Media with Coated Spherical Inclusions,” Journal of Mechanics of Materials and Structures, vol. 13, pp. 505529, 2018, https://doi.org/10.2140/jomms.2018.13.505.CrossRefGoogle Scholar
Xu, W., Chen, H., Chen, W., and Jiang, L., “Prediction of Transport Behaviors of Particulate Composites Considering Microstructures of Soft Interfacial Layers Around Ellipsoidal Aggregate Particles,” Soft matter, vol. 10, pp. 627638, 2013, https://doi.org/10.1039/c3sm52718b.CrossRefGoogle Scholar
Xu, W., Chen, W., and Chen, H., “Modeling of Soft Interfacial Volume Fraction in Composite Materials with Complex Convex Particles,” The Journal of Chemical Physics, vol. 140, no. 3, p. 034704, 2014.CrossRefGoogle ScholarPubMed
Tsui, C. P., Tang, C. Y., and Lee, T. C., “Finite Element Analysis of Polymer Composites Filled by Interphase Coated Particles,” Journal of Materials Processing Technology, vol. 117, no. 1, pp. 105110, 2001, https://doi.org/10.1016/S0924-0136(01)01117-7.Google Scholar
Wang, G. and Pindera, M.-J., “Locally-Exact Homogenization of Unidirectional Composites with Coated or Hollow Reinforcement,” Materials & Design, vol. 93, pp. 514528, 2016, https://doi.org/10.1016/j.matdes.2015.12.168.CrossRefGoogle Scholar
Miehe, C. and Koch, A., “Computational Micro-to-Macro Transitions of Discretized Microstructures Undergoing Small Strains,” Archive of Applied Mechanics, vol. 72, no. 4, pp. 300317, 2002, https://doi.org/10.1007/s00419-002-0212-2.CrossRefGoogle Scholar
Wang, G. and Pindera, M.-J., “On Boundary Condition Implementation Via Variational Principles in Elasticity-Based Homogenization,” Journal of Applied Mechanics, vol. 83, no. 10, p. 101008, 2016, https://doi.org/10.1115/1.4034227.CrossRefGoogle Scholar
Drago, A. and Pindera, M.-J., “Micro-Macromechanical Analysis of Heterogeneous Materials: Macroscopically Homogeneous vs Periodic Microstructures,” Composites Science and Technology, vol. 67, no. 6, pp. 12431263, 2007, https://doi.org/10.1016/j.compscitech.2006.02.031.CrossRefGoogle Scholar

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