@Article{cmes.2007.020.193, AUTHOR = {Shuji Takashima, Michihiko Nakagaki, Noriyuki Miyazaki}, TITLE = {An Elastic-Plastic Constitutive Equation Taking Account of Particle Size and Its Application to A Homogenized Finite Element Analysis of A Composite Material}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {20}, YEAR = {2007}, NUMBER = {3}, PAGES = {193--202}, URL = {http://www.techscience.com/CMES/v20n3/25029}, ISSN = {1526-1506}, 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.}, DOI = {10.3970/cmes.2007.020.193} }