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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Gruppo Italiano Frattura
2014-07-01
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| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | https://www.fracturae.com/index.php/fis/article/view/1262 |
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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. |
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| ISSN: | 1971-8993 |