Abstract
Spontaneous brittle fracture is studied based on the recently introduced model (Mishuris and Slepyan, Brittle fracture in a periodic structure with internal potential energy. Proc. Roy. Soc. A, in press). A periodic structure is considered, where only the prospective crackpath layer is specified as a discrete set of alternating initially stretched and compressed bonds. A bridged crack destroying initially stretched bonds may propagate under a certain level of the internal energy without external sources. The general analytical solution with the crack speed $$ energy relation is presented in terms of the crackrelated dynamic Green's function. For the anisotropic twoline chain and lattice considered earlier in quasistatics, the dynamic problem is examined in detail. The crack speed is found to grow unboundedly as the energy approaches its upper limit. It is revealed that the spontaneous fracture can occur in the form of a pure bridged, partially bridged or fully open crack depending on the internal energy level. Generally, the steadystate mode of the crack propagation is found to be realised, whereas an irregular growth, clustering and the crack speed oscillations are detected in a vicinity of the lower bound of the energy.
Original language  English 

Article number  20140121 
Number of pages  20 
Journal  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Volume  470 
Issue number  2167 
Early online date  30 Apr 2014 
DOIs  
Publication status  Published  08 Jul 2014 
Keywords
 periodic structure
 failure waves
 dynamic fracture
 LATTICE
 TRANSITION
 DYNAMICS
 WAVES
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Gennady Mishuris
 Faculty of Business and Physcial Sciences, Department of Mathematics  Professor of Mathematical Modelling, Royal Society Wolfson Research Merit Award Holder
Person: Teaching And Research, Other