Localised knife waves in a structured interface

H...............H

Show simple item record

dc.contributor.author Mishuris, Gennady
dc.contributor.author Movchan, Alexander B.
dc.contributor.author Slepyan, Leonid I.
dc.date.accessioned 2009-10-26T19:12:50Z
dc.date.available 2009-10-26T19:12:50Z
dc.date.issued 2009-12
dc.identifier.citation Mishuris , G , Movchan , A B & Slepyan , L I 2009 , ' Localised knife waves in a structured interface ' Journal of the Mechanics and Physics of Solids , vol 57 , no. 12 , pp. 1958-1979 . , 10.1016/j.jmps.2009.08.004 en
dc.identifier.issn 0022-5096
dc.identifier.other PURE: 125600
dc.identifier.other dspace: 2160/3335
dc.identifier.uri http://hdl.handle.net/2160/3335
dc.description Mishuris, G; Movchan, A; Slepyan, L. (2009). Localised knife waves in a structured interface. Journal of the Mechanics and Physics of Solids, 57 (12), 1958-1979. en
dc.description.abstract We consider a Mode III lattice with an interface layer where the dynamic crack growth is caused by a localised sinusoidal wave. In the wave–fracture scenario, the ‘feeding wave’ (here also called the knife wave) delivers energy to the moving crack front, while the dissipative waves carry a part of this energy away from the front. The questions addressed here are: • What are the conditions of existence of the localised knife wave? • What is the lower bound of the amplitude of the feeding wave, which supports the crack propagation, for a given deformational fracture criterion? • How does the crack speed depend on the amplitude of the feeding wave? • What are the dissipative waves? How much energy is irradiated by these waves and what is the total dissipation? • What are the conditions of existence of the steady-state regime for the propagating crack? We consider analytically two established regimes: the steady-state regime, where the motion of neighbouring masses (along the interface) differs only by a constant shift in time, and an alternating-strain regime, where the corresponding amplitudes differ by sign. We also present the numerical simulation results for a model of a high-contrast interface structure. Along with the energy of the feeding and dissipative waves, an energy radiated to the bulk of the lattice is identified. en
dc.format.extent 22 en
dc.language.iso eng
dc.relation.ispartof Journal of the Mechanics and Physics of Solids en
dc.subject A. Dynamic fracture en
dc.subject A. Vibrations en
dc.subject B. Inhomogeneous material en
dc.subject B. Supersonic crack en
dc.subject C. Integral transforms en
dc.title Localised knife waves in a structured interface en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1016/j.jmps.2009.08.004
dc.contributor.institution Mathematical Modelling of Structures, Solids and Fluids en
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.description.status Peer reviewed en


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search Cadair


Advanced Search

Browse

My Account