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SUMMARY:Flexural Waves and Cracks in Plates - Mungo G. Aitken (DAMTP\, Uni
 versity of Cambridge)
DTSTART:20210209T113000Z
DTEND:20210209T123000Z
UID:TALK156493@talks.cam.ac.uk
CONTACT:Mungo G. Aitken
DESCRIPTION:Flexural waves are a prominent source of sound radiation in st
 ructural acoustics. A good understanding of such waves is paramount to the
  design of solid structures in order to minimise sound emissions. It is no
 t yet fully understood how small inhomogeneities in solid structures affec
 t the propagation of flexural waves. \n\nThe problem considered is of a th
 in elastic plate with a vertical crack acting as the inhomogeneity. With t
 he assumption that the thickness of the plate is much smaller than the wav
 elength of the flexural waves\, matched asymptotic expansions must be depl
 oyed in order to obtain the reflection and transmission coefficients arisi
 ng from the crack. \n\nThe talk will focus on the inner problem\, which tu
 rns out to be able to be formulated as a Wiener–Hopf problem. One aspect
  that distinguishes this particular problem from acoustic problems is that
  the governing equation is the fourth-order biharmonic equation for the Ai
 ry stress function\, rather than the usual second-order Helmholtz equation
 . This introduces further complexity by dint of additional boundary condit
 ions being required for a full solution.
LOCATION:Microsoft Teams 
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