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SUMMARY:A universal method for the study of transformable waves in metamat
 erials. - Gennady Mishuris (Aberystwyth University)
DTSTART:20230223T160000Z
DTEND:20230223T170000Z
UID:TALK197308@talks.cam.ac.uk
DESCRIPTION:I will start by presenting a powerful method that allows one t
 o treat problems involving the dynamic fracture of discrete structures. Pr
 oposed in 1981 by Leonid Slepyan\, and originally intended to explain the 
 so-called lattice trapping phenomenon and wave dissipation in lattice stru
 ctures\, it remains probably the only universal and effective analytical t
 ool for tackling a wide range of problems in periodic structures with movi
 ng defects/boundaries. The technique naturally leads to Wiener-Hopf (WH) e
 quations and allows for extraction of nontrivial information concerning as
 sociated physical responses in the dynamic fracture process even without s
 olving the W-H problems. When applied to the dynamic destruction of metama
 terials\, it leads to matrix factorization with all adherent difficulties.
  I discuss both advantages and limitations of the method and conclude by r
 evisiting a few "simplest" scalar problems demonstrating recent advances a
 nd highlighting open questions.&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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