Crynodeb
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.
Iaith wreiddiol  Saesneg 

Rhif yr erthygl  20140121 
Nifer y tudalennau  20 
Cyfnodolyn  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Cyfrol  470 
Rhif cyhoeddi  2167 
Dyddiad arlein cynnar  30 Ebr 2014 
Dynodwyr Gwrthrych Digidol (DOIs)  
Statws  Cyhoeddwyd  08 Gorff 2014 
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.Proffiliau

Gennady Mishuris
 Mathemateg  Professor of Mathematical Modelling, Royal Society Wolfson Research Merit Award Holder
Unigolyn: Dysgu ac Ymchwil, Arall