Dynamic quantized fracture mechanics
 N. M. Pugno
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A new quantum actionbased theory, dynamic quantized fracture mechanics (DQFM), is presented that modifies continuumbased dynamic fracture mechanics (DFM). The crack propagation is assumed as quantized in both space and time. The static limit case corresponds to quantized fracture mechanics (QFM), that we have recently developed to predict the strength of nanostructures. DQFM predicts the wellknown forbidden strength and crack speed bands – observed in atomistic simulations – which are unexplained by continuumbased approaches. In contrast to DFM and linear elastic fracture mechanics (LEFM), that are shown to be limiting cases of DQFM and which can treat only large (with respect to the “fracture quantum”) and sharp cracks under moderate loading speed, DQFM has no restrictions on treating defect size and shape, or loading rate. Simple examples are discussed (i) strengths predicted by DQFM for static loads are compared with experimental and numerical results on carbon nanotubes containing nanoscale defects; (ii) the dynamic fracture initiation toughness predicted by DQFM is compared with experimental results on microsecond range impact failures of 2024T3 aircraft aluminum alloy. Since LEFM has been successfully applied also at the geophysics sizescale, it is conceivable that DQFM theory can treat objects that span at least 15 orders of magnitude in size.
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 Title
 Dynamic quantized fracture mechanics
 Journal

International Journal of Fracture
Volume 140, Issue 14 , pp 159168
 Cover Date
 20060701
 DOI
 10.1007/s107040060098z
 Print ISSN
 03769429
 Online ISSN
 15732673
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 Dynamic fracture
 Quantized fracture
 Finite fracture
 Nanostructures
 Nanotubes
 Strength
 Impacts
 Industry Sectors
 Authors

 N. M. Pugno ^{(1)}
 Author Affiliations

 1. Department of Structural Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy