Propagation of Slepyan's crack in a non-uniform elastic lattice

M. J. Nieves; A. B. Movchan; I. S. Jones; G. S. Mishuris

doi:10.1016/j.jmps.2012.12.006

Propagation of Slepyan's crack in a non-uniform elastic lattice

M. J. Nieves^*
, A. B. Movchan
, I. S. Jones
, G. S. Mishuris

^*Awdur cyfatebol y gwaith hwn

Adran Ffiseg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

28 Dyfyniadau (Scopus)

72 Wedi eu Llwytho i Lawr (Pure)

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We model and derive the solution for the problem of a Mode I semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the principal lattice directions. The corresponding Green's kernel is found and from this wave dispersion dependencies are obtained in explicit form. An equation of the Wiener-Hopf type is also derived and solved along the crack face, in order to compute the stress intensity factor for the semi-infinite crack. The crack stability is analysed via the evaluation of the energy release rate for different contrasts in stiffness of the bonds. (C) 2013 Elsevier Ltd. All rights reserved.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	1464-1488
Nifer y tudalennau	25
Cyfnodolyn	Journal of the Mechanics and Physics of Solids
Cyfrol	61
Rhif cyhoeddi	6
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.jmps.2012.12.006
Statws	Cyhoeddwyd - Meh 2013

Mynediad at Ddogfen

10.1016/j.jmps.2012.12.006

Propagation of Slepyan's crack in a non-uniform elastic latticeLlawysgrif awdur wedi’i dderbyn, 1.24 MB

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http://hdl.handle.net/2160/14260

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title = "Propagation of Slepyan's crack in a non-uniform elastic lattice",

abstract = "We model and derive the solution for the problem of a Mode I semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the principal lattice directions. The corresponding Green's kernel is found and from this wave dispersion dependencies are obtained in explicit form. An equation of the Wiener-Hopf type is also derived and solved along the crack face, in order to compute the stress intensity factor for the semi-infinite crack. The crack stability is analysed via the evaluation of the energy release rate for different contrasts in stiffness of the bonds. (C) 2013 Elsevier Ltd. All rights reserved.",

keywords = "Inhomogeneous lattice, Semi-infinite crack, Wiener-Hopf technique, Energy release rate ratio, Stress intensity factor, DISSIPATIVE WAVES, PHASE-TRANSITION, CELL LATTICE, FRACTURE, INSTABILITY",

author = "Nieves, \{M. J.\} and Movchan, \{A. B.\} and Jones, \{I. S.\} and Mishuris, \{G. S.\}",

year = "2013",

month = jun,

doi = "10.1016/j.jmps.2012.12.006",

language = "English",

volume = "61",

pages = "1464--1488",

journal = "Journal of the Mechanics and Physics of Solids",

issn = "0022-5096",

publisher = "Elsevier",

number = "6",

}

TY - JOUR

T1 - Propagation of Slepyan's crack in a non-uniform elastic lattice

AU - Nieves, M. J.

AU - Movchan, A. B.

AU - Jones, I. S.

AU - Mishuris, G. S.

PY - 2013/6

Y1 - 2013/6

N2 - We model and derive the solution for the problem of a Mode I semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the principal lattice directions. The corresponding Green's kernel is found and from this wave dispersion dependencies are obtained in explicit form. An equation of the Wiener-Hopf type is also derived and solved along the crack face, in order to compute the stress intensity factor for the semi-infinite crack. The crack stability is analysed via the evaluation of the energy release rate for different contrasts in stiffness of the bonds. (C) 2013 Elsevier Ltd. All rights reserved.

AB - We model and derive the solution for the problem of a Mode I semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the principal lattice directions. The corresponding Green's kernel is found and from this wave dispersion dependencies are obtained in explicit form. An equation of the Wiener-Hopf type is also derived and solved along the crack face, in order to compute the stress intensity factor for the semi-infinite crack. The crack stability is analysed via the evaluation of the energy release rate for different contrasts in stiffness of the bonds. (C) 2013 Elsevier Ltd. All rights reserved.

KW - Inhomogeneous lattice

KW - Semi-infinite crack

KW - Wiener-Hopf technique

KW - Energy release rate ratio

KW - Stress intensity factor

KW - DISSIPATIVE WAVES

KW - PHASE-TRANSITION

KW - CELL LATTICE

KW - FRACTURE

KW - INSTABILITY

UR - http://hdl.handle.net/2160/14260

U2 - 10.1016/j.jmps.2012.12.006

DO - 10.1016/j.jmps.2012.12.006

M3 - Article

SN - 0022-5096

VL - 61

SP - 1464

EP - 1488

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

IS - 6

ER -

Propagation of Slepyan's crack in a non-uniform elastic lattice

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