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A. Infuso M. Paggi

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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