Dynamic response of a growing inclusion in a discrete system

作者: M.J. Nieves , I.S. Jones , A.B. Movchan

DOI: 10.1016/J.IJSOLSTR.2014.03.034

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摘要: Abstract The propagation of a semi-infinite line defect, contained in an infinite square-cell lattice is considered. defect composed particles lighter than those the ambient and it assumed this propagates with constant speed. Dispersion properties are related to waves generated by propagating defect. In order determine these properties, Wiener–Hopf technique applied. Additional features, localisation along also identified. Analysis dispersion relations for lattice, from kernel function inside equation, carried out. solution equation presented case when external load applied corresponding energy flux at infinity.

参考文章(25)
A. B. Movchan, S. Haq, N. V. Movchan, 'Localised defect modes and a macro-cell analysis for dynamic lattice structures with defects' Vibration Problems ICOVP 2005. ,vol. 111, pp. 327- 336 ,(2006) , 10.1007/978-1-4020-5401-3_47
T. Özturk, W.J. Poole, J.D. Embury, The deformation of CuW laminates Materials Science and Engineering A-structural Materials Properties Microstructure and Processing. ,vol. 148, pp. 175- 178 ,(1991) , 10.1016/0921-5093(91)90819-9
Francesco Dal Corso, Davide Bigoni, Massimiliano Gei, The stress concentration near a rigid line inclusion in a prestressed, elastic material. Part I. Full-field solution and asymptotics Journal of The Mechanics and Physics of Solids. ,vol. 56, pp. 815- 838 ,(2008) , 10.1016/J.JMPS.2007.07.002
R. V. Craster, J. Kaplunov, J. Postnova, High-Frequency Asymptotics, Homogenisation and Localisation for Lattices Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 63, pp. 497- 519 ,(2010) , 10.1093/QJMAM/HBQ015
G.G. Osharovich, M.V. Ayzenberg-Stepanenko, Wave localization in stratified square-cell lattices: The antiplane problem Journal of Sound and Vibration. ,vol. 331, pp. 1378- 1397 ,(2012) , 10.1016/J.JSV.2011.11.009
Roberto Ballarini, A rigid line inclusion at a bimaterial interface Engineering Fracture Mechanics. ,vol. 37, pp. 1- 5 ,(1990) , 10.1016/0013-7944(90)90326-C
Gennady S. Mishuris, Alexander B. Movchan, Leonid I. Slepyan, Localised knife waves in a structured interface Journal of The Mechanics and Physics of Solids. ,vol. 57, pp. 1958- 1979 ,(2009) , 10.1016/J.JMPS.2009.08.004
M.J. Nieves, A.B. Movchan, I.S. Jones, G.S. Mishuris, Propagation of Slepyan's crack in a non-uniform elastic lattice Journal of The Mechanics and Physics of Solids. ,vol. 61, pp. 1464- 1488 ,(2013) , 10.1016/J.JMPS.2012.12.006
G. Carta, I.S. Jones, M. Brun, N.V. Movchan, A.B. Movchan, Crack propagation induced by thermal shocks in structured media International Journal of Solids and Structures. ,vol. 50, pp. 2725- 2736 ,(2013) , 10.1016/J.IJSOLSTR.2013.05.001