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A Beam Network Model Approach to Strength Optimization of Disordered Fibrous Materials
Author(s) -
Hosseini Seyyed Ahmad,
Moretti Paolo,
Zaiser Michael
Publication year - 2020
Publication title -
advanced engineering materials
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 114
eISSN - 1527-2648
pISSN - 1438-1656
DOI - 10.1002/adem.201901013
Subject(s) - materials science , nucleation , beam (structure) , composite material , strength of materials , structural engineering , thermodynamics , physics , engineering
A beam network model is used to study the nucleation and propagation of cracks in uniaxially loaded materials consisting of randomly cross‐linked fibers with statistically distributed failure thresholds. The failure behavior of such materials is investigated and, for different degrees of disorder, the fraction of cross links required to achieve an optimal strength‐to‐weight ratio is determined. In the absence of disorder, this problem has a trivial analytical solution (no cross links), which however turns out the worst possible arrangement for strongly disordered materials and/or for large system sizes.