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12 - Multi-Scale Modeling of Composite Structures Using Computational Grains

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

The preprocessing of Computational Grains (CGs) is introduced in Chapter 3, and several types of CGs have been developed for the micromechanical modeling of different kinds of composites with particulates, fibers, and so on in Chapters 5–11. A multi-scale analysis framework of composite structures by using the CGs and the standard FEM is developed in this chapter, based on the homogenization of composite materials at the microlevel, and slender or shell structures at the meso- and macro-levels. The specific process of the multi-scale algorithm is illustrated with an example of a stiffened composite panel. The results show the multi-scale analysis method is an accurate and efficient tool for large composite structures, not only simulating the overall structural responses in a bottom-up fashion, but also obtaining the detailed stresses at multiple scales in the dehomogenization process.

Type
Chapter
Information
Computational Grains
Micromechanical Genome for Heterogeneous Materials
, pp. 237 - 273
Publisher: Cambridge University Press
Print publication year: 2023

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References

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Reissner, E. and Stavsky, Y., “Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates,” Journal of Applied Mechanics, vol. 28, no. 3, pp. 402408, 1961, https://doi.org/10.1115/1.3641719.CrossRefGoogle Scholar
Lee, C. Y., Yu, W., Hodges, D. H. Refined Modeling of Composite Plates with In‐plane Heterogeneity[J]. ZAMM‐Journal of Applied Mathematics and Mechanics, vol. 94, no. 1–2, pp. 85100, 2014.CrossRefGoogle Scholar
Petrů, M. and Novák, O., Finite Element Method: Simulation, Numerical Analysis and Solution Techniques. Rijeka:IntechOpen, 2018.Google Scholar

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