TY - JOUR
T1 - Dynamical extraction of a single chain from 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 Prof. Slepyan to Liverpool University supported by the research Grant EP/D079489/1 from the UK Engineering and Physical Sciences Research Council. Prof. 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. We would like to thank the referees for valuable comments and suggestions on the text of the manuscript.
PY - 2008/2
Y1 - 2008/2
N2 - We consider a nontrivial anti-plane shear fracture problem for a double-crack configuration where the remote external load is applied to the extracted mass-spring chain and the displacement field is symmetric with respect to the central axis between the cracks. An analytical solution obtained for the steady-state problem describes the displacement fields, stresses, local and global energy release rates and the dissipation. The double-crack configuration differs considerably from the classical problem of fracture in a lattice: the load is applied to the extracted chain rather than the outer domain as in the classical fracture problems. In the corresponding Wiener-Hopf equation, this leads to a special type of kernel, which is not typical for fracture problems.
AB - We consider a nontrivial anti-plane shear fracture problem for a double-crack configuration where the remote external load is applied to the extracted mass-spring chain and the displacement field is symmetric with respect to the central axis between the cracks. An analytical solution obtained for the steady-state problem describes the displacement fields, stresses, local and global energy release rates and the dissipation. The double-crack configuration differs considerably from the classical problem of fracture in a lattice: the load is applied to the extracted chain rather than the outer domain as in the classical fracture problems. In the corresponding Wiener-Hopf equation, this leads to a special type of kernel, which is not typical for fracture problems.
KW - Dissipation
KW - Dynamic lattice fracture
KW - Waves
UR - http://www.scopus.com/inward/record.url?scp=38749088973&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2007.05.020
DO - 10.1016/j.jmps.2007.05.020
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AN - SCOPUS:38749088973
SN - 0022-5096
VL - 56
SP - 487
EP - 495
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 2
ER -