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

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

2012-04-25

arxiv.org/abs/1204.5766v1

Physics

Mathematical Physics

30 pages, 11 figures

Scientific paper

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.

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