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

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

65 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1464-1488
Number of pages	25
Journal	Journal of the Mechanics and Physics of Solids
Volume	61
Issue number	6
DOIs	https://doi.org/10.1016/j.jmps.2012.12.006
Publication status	Published - Jun 2013

Keywords

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

Access to Document

10.1016/j.jmps.2012.12.006

Propagation of Slepyan's crack in a non-uniform elastic latticeAccepted author manuscript, 1.24 MB

Permanent link

Persistent link

Cite this

@article{c6538a25b80f4f548fc0251e02788601,

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

Abstract

Keywords

Access to Document

Permanent link

Other files and links

Fingerprint

Cite this