Crynodeb
We consider a brittle fracture taking account of selfequilibrated distributed stresses existing at microlevel in the absence of external forces. To determine how the latter can affect the crack equilibrium and growth, a model of a structured linearly elastic body is introduced, consisting of two equal symmetrically arranged layers (or halfplanes) connected by an interface as a prospective crack path. The interface comprises a discrete set of elastic bonds. In the initial state, the bonds are assumed to be stressed in such a way that tensile and compressive forces of the same value alternate. In the general considerations, the layers are assumed to be of an unspecified periodic structure, where such selfequilibrated stresses may also exist. A twoline chain and a lattice are examined as the specified structure. We consider the states of the bodywithacrack under such microlevel stresses (MS) and under a combined action of the remote forces and MS. Analytical solutions to the considered problems are presented based on the introduction of a selective discrete transform. We demonstrate that MS can increase as well as decrease the crack resistance depending on the internal energy level. We also discuss different scenarios of the crack growth.
Iaith wreiddiol  Saesneg 

Rhif yr erthygl  20130821 
Tudalennau (oi)  125 
Nifer y tudalennau  25 
Cyfnodolyn  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Cyfrol  470 
Rhif cyhoeddi  2165 
Dyddiad arlein cynnar  19 Chwef 2014 
Dynodwyr Gwrthrych Digidol (DOIs)  
Statws  Cyhoeddwyd  08 Mai 2014 
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'Brittle fracture in a periodic structure with internal potential energy'. 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