Table of Content

Open Access

ARTICLE

An Elastic-Plastic Constitutive Equation Taking Account of Particle Size and Its Application to A Homogenized Finite Element Analysis of A Composite Material

Shuji Takashima1, Michihiko Nakagaki2, Noriyuki Miyazaki1
Kyoto Univ., Sakyoku, Kyoto, Japan
Kyushu Institute of Technology, Iizuka, Fukuoka, Japan

Computer Modeling in Engineering & Sciences 2007, 20(3), 193-202. https://doi.org/10.3970/cmes.2007.020.193

Abstract

Composite materials have complicated microstructures. These microstructures affect the macroscopic deformation of composite materials. In the present study, we focus on the effect of particle size in a particle-dispersed composite material on the mechanical strength of the material. For this purpose, we derived a macroscopic elastic-plastic constitutive equation using a modified version of the Eshelby's equivalent inclusion method combined with the gradient plasticity. We incorporated this macroscopic elastic-plastic constitutive equation into a finite element program and performed a homogenized finite element analysis of a particle-dispersed composite material in which both the macroscopic and microscopic behaviors of the composite material were obtained. The present method successfully revealed the size effect in a particle-dispersed composite material, namely that its mechanical strength increases with a decrease in the particle size.

Keywords

size effect, composite material, Eshelby's theory, gradient plasticity.

Cite This Article

Takashima, S., Nakagaki, M., Miyazaki, N. (2007). An Elastic-Plastic Constitutive Equation Taking Account of Particle Size and Its Application to A Homogenized Finite Element Analysis of A Composite Material. CMES-Computer Modeling in Engineering & Sciences, 20(3), 193–202.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 987

    View

  • 843

    Download

  • 0

    Like

Share Link

WeChat scan