Analytical and numerical analysis of 3D grid-reinforced orthotropic composite structures

E. M. Hassan, A. V. Georgiades, M. A. Savi, A. L. Kalamkarov

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

A comprehensive micromechanical investigation of 3D periodic composite structures reinforced with a grid of orthotropic reinforcements is undertaken. Two different modeling techniques are presented; one is based on the asymptotic homogenization method and the other is a numerical model based on the finite element technique. The asymptotic homogenization model transforms the original boundary value problem into a simpler one characterized by effective coefficients which are shown to depend only on the geometric and material parameters of a periodicity cell. The model is applied to various 3D grid-reinforced structures with generally orthotropic constituent materials. Analytical formula for the effective elastic coefficients are derived, and it is shown that they converge to earlier published results in much simpler case of 2D grid reinforced structures with isotropic constituent materials. A finite element model is subsequently developed and used to examine the aforementioned periodic grid-reinforced orthotropic structures. The deformations from the finite element simulations are used to extract the elastic and shear moduli of the structures. The results of the asymptotic homogenization analysis are compared to those pertaining to their finite element counterparts and a very good agreement is shown between these two approaches. A comparison of the two modeling techniques readily reveals that the asymptotic homogenization model is appreciably faster in its implementation (without a significant loss of accuracy) and thus is readily amenable to preliminary design of a given 3D grid-reinforced composite structure. The finite element model however, is more accurate and predicts all of the effective elastic coefficients. Thus, the engineer facing a particular design application, could perform a preliminary design (selection of type, number and spatial orientation of the reinforcements) and then fine tune the final structure by using the finite element model.

Original languageEnglish
Pages (from-to)589-605
Number of pages17
JournalInternational Journal of Engineering Science
Volume49
Issue number7
DOIs
Publication statusPublished - Jul 2011

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Composite structures
Numerical analysis
Reinforcement
Elastic moduli
Homogenization method
Boundary value problems
Numerical models
Engineers

Keywords

  • 3D grid-reinforced orthotropic composite structures
  • Asymptotic homogenization method
  • Effective elastic coefficients
  • Finite element method

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Analytical and numerical analysis of 3D grid-reinforced orthotropic composite structures. / Hassan, E. M.; Georgiades, A. V.; Savi, M. A.; Kalamkarov, A. L.

In: International Journal of Engineering Science, Vol. 49, No. 7, 07.2011, p. 589-605.

Research output: Contribution to journalArticle

Hassan, E. M. ; Georgiades, A. V. ; Savi, M. A. ; Kalamkarov, A. L. / Analytical and numerical analysis of 3D grid-reinforced orthotropic composite structures. In: International Journal of Engineering Science. 2011 ; Vol. 49, No. 7. pp. 589-605.
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