Flaw-tolerance of nonlocal discrete systems and interpretation according to network theory

Discrete systems are modeled as a network of nodes (particles, molecules, or atoms) linked by nonlinear springs to simulate the action of van der Waals forces. Such systems are nonlocal if links connecting non-adjacent nodes are introduced. For their topological characterization, a nonlocality index...

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Bibliographic Details
Published inFrattura ed integritá strutturale Vol. 8; no. 29; pp. 302 - 312
Main Authors Infuso, A., Paggi, M.
Format Journal Article
LanguageEnglish
Published Cassino Gruppo Italiano Frattura 01.07.2014
Subjects
Finite element analysis
Materials science
Nonlocality; Discrete systems; MDFEM; Large displacements; Network theory
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Summary:Discrete systems are modeled as a network of nodes (particles, molecules, or atoms) linked by nonlinear springs to simulate the action of van der Waals forces. Such systems are nonlocal if links connecting non-adjacent nodes are introduced. For their topological characterization, a nonlocality index (NLI) inspired by network theory is proposed. The mechanical response of 1D and 2D nonlocal discrete systems is predicted according to finite element (FE) simulations based on a nonlinear spring element for large displacements implemented in the FE programme FEAP. Uniaxial force-displacement responses of intact and defective systems (with links or nodes removed) are numerically simulated. Strain localization phenomena, size-scale effects and the ability to tolerate defects are investigated by varying the degree of nonlocality.
ISSN:1971-8993
1971-8993
DOI:10.3221/IGF-ESIS.29.26