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Numerical Simulation of Mesoscopic Mechanical Behaviors of Gradual Multi‐Fiber‐Reinforced Polymer Matrix Composites
Author(s) -
Li Hongzhou,
Jia Yuxi,
Mamtimin Geni,
Wang Xin,
Jiang Wei,
An Lijia
Publication year - 2006
Publication title -
macromolecular materials and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 96
eISSN - 1439-2054
pISSN - 1438-7492
DOI - 10.1002/mame.200500336
Subject(s) - weibull distribution , materials science , mesoscopic physics , composite material , finite element method , composite number , fiber , deformation (meteorology) , sigma , matrix (chemical analysis) , solid mechanics , mathematics , statistics , physics , thermodynamics , condensed matter physics , quantum mechanics
Abstract Summary: To simulate the deformation and the fracture of gradual multi‐fiber‐reinforced polymer matrix composites, a numerical simulation method for the mesoscopic mechanical behaviors was developed on the basis of the finite element and the Monte Carlo methods. The results indicate that the strength of a composite increases if the variability of statistical fiber strengths is decreased.Normalized strength distributions plotted in the Weibull form of $\ln (\sigma /\sigma _{\rm c} )$ versus $\ln [ - \ln (1 - P)]$ for composites with varying WM.