Effective elasticity of functionally graded composites: A micromechanics framework with particle interactions

H. M. Yin, G. H. Paulino, L. Z. Sun

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The present paper aims to develop a micromechanics-based effective elastic model of functionally graded composites. At the macroscopic scale, effective material properties of the composites are uniform in the same graded layer while gradually changing along the grading direction. Microstructurally, infinite particles are randomly dispersed in the matrix with gradual transitions. Particles are assumed to be spherical and nonintersecting. They are perfectly bonded with the matrix. A micromechanical framework is proposed to investigate effective mechanical properties along the grading direction. Within the context of the representative volume element (RVE), the effect of pair-wise interactions between particles is taken into account for the local stress and strain fields by using the modified Green's function method. Homogenization of the local field renders relations between the averaged strain, strain gradient and external loading. The effective elastic modulus tensor of the functionally graded composites is further constructed by numerical integration. The model prediction is compared with available experimental data.

Original languageEnglish (US)
Title of host publicationMultiscale and Functionally Graded Materials - Proceedings of the International Conference, FGM IX
Pages230-235
Number of pages6
DOIs
StatePublished - 2008
Externally publishedYes
Event9th International Conference on Multiscale and Functionally Graded Materials, FGM IX - Oahu Island, HI, United States
Duration: Oct 15 2006Oct 18 2006

Publication series

NameAIP Conference Proceedings
Volume973
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other9th International Conference on Multiscale and Functionally Graded Materials, FGM IX
Country/TerritoryUnited States
CityOahu Island, HI
Period10/15/0610/18/06

Keywords

  • Effective elasticity
  • Functionally graded composites
  • Homogenization
  • Micromechanical modeling
  • Stress and strain

ASJC Scopus subject areas

  • General Physics and Astronomy

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