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RuoffRodney Scott

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Quantized fracture mechanics

Author(s)
Pugno, NMRuoff, RS
Issued Date
2004-09
DOI
10.1080/14786430412331280382
URI
https://scholarworks.unist.ac.kr/handle/201301/54482
Fulltext
https://www.tandfonline.com/doi/full/10.1080/14786430412331280382
Citation
PHILOSOPHICAL MAGAZINE, v.84, no.27, pp.2829 - 2845
Abstract
A new energy-based theory, quantized fracture mechanics (QFM), is presented that modifies continuum-based fracture mechanics; stress- and strain-based QFM analogs are also proposed. The differentials in Griffith's criterion are substituted with finite differences; the implications are remarkable. Fracture of tiny systems with a given geometry and type of loading occurs at 'quantized' stresses that are well predicted by QFM: strengths predicted by QFM are compared with experimental results on carbon nanotubes, beta-SiC nanorods, alpha-Si3N4 whiskers, and polysilicon thin films; and also with molecular mechanics/dynamics simulation of fracture of carbon nanotubes and graphene with cracks and holes, and statistical mechanics-based simulations on fracture of two-dimensional spring networks. QFM is self-consistent, agreeing to first-order with linear elastic fracture mechanics (LEFM), and to second-order with non-linear fracture mechanics (NLFM). For vanishing crack length QFM predicts a finite ideal strength in agreement with Orowan's prediction. In contrast to LEFM, QFM has no restrictions on treating defect size and shape. The different fracture Modes (opening I, sliding II and tearing III), and the stability of the fracture propagations, are treated in a simple way.
Publisher
TAYLOR & FRANCIS LTD
ISSN
1478-6435
Keyword
MOLECULAR-DYNAMICSTENSILE-STRENGTHSTRESSPOLYSILICONDEFECTS

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