Decheng Feng1, 2, *
CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.3, pp. 997-1014, 2020, DOI:10.32604/cmes.2020.07265
Abstract In the present paper, a hierarchical multi-scale method is developed for the
nonlinear analysis of composite materials undergoing heterogeneity and damage. Starting
from the homogenization theory, the energy equivalence between scales is developed. Then
accompanied with the energy based damage model, the multi-scale damage evolutions are
resolved by homogenizing the energy scalar over the meso-cell. The macroscopic behaviors
described by the multi-scale damage evolutions represent the mesoscopic heterogeneity
and damage of the composites. A rather simple structure made from particle reinforced
composite materials is developed as a numerical example. The agreement between the fullscale simulating results and the multi-scale simulating… More >
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