A statistical descriptor based volume-integral micromechanics model of heterogeneous material with arbitrary inclusion shape

Zeliang Liu, John A. Moore, Saad M. Aldousari, Hassan S. Hedia, Saeed A. Asiri, Wing Kam Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

A continuing challenge in computational materials design is developing a model to link the microstructure of a material to its material properties in both an accurate and computationally efficient manner. In this paper, such a model is developed which uses image-based data from characterization studies combined with a newly developed self-consistent volume-integral micromechanics model (SVIM) for linear elastic material. It is observed that SVIM is able to capture the effective stress/strain distribution inside the inclusion, as well as effects of volume fraction and nearest inclusion distance on the effective properties of heterogeneous material. More importantly, SVIM can be applied to inclusions with arbitrary shape through discretizing the inclusion domain. For both 2-dimensional and 3-dimensional problems with circular and spherical inhomogeneities, SVIM’s capability of predicting effective elastic properties is validated against experiments and direct numerical simulations using the finite element method. Finally, the effect of inclusion shape is predicted by SVIM.

Original languageEnglish (US)
Pages (from-to)963-981
Number of pages19
JournalComputational Mechanics
Volume55
Issue number5
DOIs
StatePublished - May 25 2015

Keywords

  • Finite element
  • Materials design
  • Micro-mechanics
  • Modulus and composites
  • Statistical descriptors

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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