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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Interaction of in-plane waves with a structured pe
 netrable line defect in an elastic lattice - Micha
 el Nieves (Keele University)
DTSTART;TZID=Europe/London:20240705T114500
DTEND;TZID=Europe/London:20240705T121500
UID:TALK214984AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/214984
DESCRIPTION:We investigate the scattering of in-plane waves in
  a triangular elastic lattice by a penetrable iner
 tial line defect [1]. Through the application of t
 he discrete Fourier transform\, this problem can b
 e reduced to the analysis of two scalar Wiener-Hop
 f equations involving the transformed displacement
 s along the defected lattice row. From there\, ess
 ential information can be extracted about: (i) all
  dynamic modes appearing in the scattering process
 \, (ii) the symmetry properties of each mode\, and
  (iii) parameter subdomains\, defined by the incid
 ent wave frequency and inertial properties of the 
 defect\, where dynamic localised modes supported b
 y the defect can appear. Upon solving the Wiener-H
 opf equations\, the lattice displacements can be r
 epresented by a contour integral\, which can be us
 ed to investigate unusual scattering responses of 
 the defect encountered outside of the low frequenc
 y regime. All analytical results presented are acc
 ompanied by numerical illustrations that demonstra
 te their effectiveness.\nAcknowledgement: MJN grat
 efully acknowledges the support of the EU H2020 gr
 ant MSCA-RISE-2020-101008140-EffectFact. MJN would
  also like to thank the Isaac Newton Institute for
  Mathematical Sciences (INI) for their support and
  hospitality during the programme ``Mathematical t
 heory and applications of multiple wave scattering
 " (MWS)\, where work on the research in the talk w
 as undertaken and supported by EPSRC grant no. EP/
 R014604/1. Additionally\, MJN is grateful for the 
 funding received from the Simons Foundation that s
 upported his visit to INI during January-June 2023
  and participation in MWS programme.\nReferences:[
 1] M.J. Nieves\, B.L. Sharma (2024): Interaction o
 f in-plane waves with a structured penetrable line
  defect in an elastic lattice\, Int. J. Eng. Sci 1
 97\, 104011\, 10.1016/j.ijengsci.2023.104011&nbsp\
 ;&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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