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

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          Abstract

          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.

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          Author and article information

          Affiliations
          [1 ] Politecnico di Torino
          [2 ] IMT Institute for Advanced Studies Lucca
          Journal
          Frattura ed Integrità Strutturale
          Gruppo Italiano Frattura
          01 July 2014
          : 8
          : 29
          : 302-312
          3fce06f1411d40f29723aa8df07fdf6d

          This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

          Categories
          Materials of engineering and construction. Mechanics of materials
          TA401-492
          Electrical engineering. Electronics. Nuclear engineering
          TK1-9971
          Technology
          T

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