An asymptotic homogenization model for smart 3D grid-reinforced composite structures with generally orthotropic constituents

E. M. Hassan, A. L. Kalamkarov, A. V. Georgiades, K. S. Challagulla

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A comprehensive micromechanical model for smart 3D composite structures reinforced with a periodic grid of generally orthotropic cylindrical reinforcements that also exhibit piezoelectric behavior is developed. The original boundary value problem characterizing the piezothermoelastic behavior of these structures is decoupled into a set of three simpler unit cell problems dealing, separately, with the elastic, piezoelectric and thermal expansion characteristics of the smart composite. The technique used is that of asymptotic homogenization and the solution of the unit cell problems permits determination of the effective elastic, piezoelectric and thermal expansion coefficients. The general orthotropy of the constituent materials is very important from the practical viewpoint and makes the analysis much more complicated. Several examples of practical interest are used to illustrate the work including smart 3D composites with cubic and conical embedded grids as well as diagonally reinforced smart structures. It is also shown in this work that in the limiting particular case of 2D grid-reinforced structures with isotropic reinforcements our results converge to earlier published results.

Original languageEnglish
Article number075006
JournalSmart Materials and Structures
Volume18
Issue number7
DOIs
Publication statusPublished - 2009

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composite structures
homogenizing
Composite structures
Thermal expansion
Reinforcement
grids
Intelligent structures
expansion
Composite materials
reinforcement
Boundary value problems
thermal expansion
smart structures
composite materials
cells
boundary value problems
coefficients

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics
  • Civil and Structural Engineering
  • Condensed Matter Physics
  • Mechanics of Materials
  • Materials Science(all)

Cite this

An asymptotic homogenization model for smart 3D grid-reinforced composite structures with generally orthotropic constituents. / Hassan, E. M.; Kalamkarov, A. L.; Georgiades, A. V.; Challagulla, K. S.

In: Smart Materials and Structures, Vol. 18, No. 7, 075006, 2009.

Research output: Contribution to journalArticle

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