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Analyses of dynamic fault propagation in discrete structures

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CATW02 - Complex analysis in mathematical physics and applications

We discuss a method proposed by L. Slepyan in 1981 which allows solving various problems related to wave and fracture propagation in discrete structures. It has already shown its effectiveness to tackle a wide range of the problems and structures. One can mention: full/bridge crack propagation, phase transition; various lattice (rectangular, triangular) and chain structures; various links (springs / beams), etc.
Such problems are eventually reduced to scalar Wiener-Hopf problems. This allows to solve them and extract valuable information about the processes. We discuss both advantages and limitations of the method and highlight its importance for metamaterials. We conclude by revisiting a few “simplest” problems demonstrating recent advances in the area.

This talk is part of the Isaac Newton Institute Seminar Series series.

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