TY - JOUR
T1 - Dynamics of a bridged crack in a discrete lattice
AU - Mishuris, Gennady S.
AU - Movchan, Alexander B.
AU - Slepyan, Leonid I.
N1 - Funding Information:
This paper has been written during the academic visit of Professor Slepyan to Liverpool University supported by the research grant EP/D079489/1 from the UK Engineering and Physical Sciences Research Council. Professor Mishuris was supported by the Marie Curie Transfer of Knowledge Fellowship of the European Community’s Sixth Framework Programme, grant reference MTKD-CT-2004-509809.
PY - 2008/5
Y1 - 2008/5
N2 - The paper addresses a problem of partial fracture of a lattice by a propagating fault modelling a crack bridged by elastic fibres. It is assumed that the strength of bonds within the lattice alternates periodically, so that during the dynamic crack propagation only weaker bonds break, whereas the stronger bonds remain intact. The mathematical problem is reduced to the functional equation of the Wiener-Hopf type, which is solved analytically. The load-crack speed dependence is presented, which also has implications on the stability analysis for the bridged crack propagating within the lattice. In particular, we address the evaluation of the dissipation rate, which is found to be strongly dependent on the crack speed. In this lattice model, our results also cover the case of the supercritical crack speed.
AB - The paper addresses a problem of partial fracture of a lattice by a propagating fault modelling a crack bridged by elastic fibres. It is assumed that the strength of bonds within the lattice alternates periodically, so that during the dynamic crack propagation only weaker bonds break, whereas the stronger bonds remain intact. The mathematical problem is reduced to the functional equation of the Wiener-Hopf type, which is solved analytically. The load-crack speed dependence is presented, which also has implications on the stability analysis for the bridged crack propagating within the lattice. In particular, we address the evaluation of the dissipation rate, which is found to be strongly dependent on the crack speed. In this lattice model, our results also cover the case of the supercritical crack speed.
UR - http://www.scopus.com/inward/record.url?scp=43049101133&partnerID=8YFLogxK
U2 - 10.1093/qjmam/hbm030
DO - 10.1093/qjmam/hbm030
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AN - SCOPUS:43049101133
SN - 0033-5614
VL - 61
SP - 151
EP - 160
JO - Quarterly Journal of Mechanics and Applied Mathematics
JF - Quarterly Journal of Mechanics and Applied Mathematics
IS - 2
ER -