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SUMMARY:Dispersion of elastic waves in Second Gradient Continuum : A geome
 tric approach
DTSTART:20170217T111500
DTSTAMP:20260526T102524Z
UID:0651ee2be1c83d7ba798e4db5056ba25b7bba64c4a9369f66d5af16d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof Lalao Rakotomanana\, Institut de Recherche Mathématique 
 de Rennes (IRMAR)\nPropagation of elastic wave within linear elastic conti
 nuum is classically governed by the famous Navier equation when the matter
  is assumed homogeneous. In the case where the density varies smoothly\, t
 he model still applies with only slight adaptations.\n\nIn this talk\, we 
 define the Second Gradient Continuum (SGC) as a continuum with the presenc
 e of defects field or sharp gradients of material properties\, assumed to 
 be continuously distributed within the matter. Some necessary mathematical
  conditions will be reminded to ensure covariance of the model. Then we pr
 esent by means of simple examples the influence of these defects and sharp
  gradients on the elastic wave dispersion after « generalizing » the N
 avier equation. Extension of the method to other physical waves will be es
 quissed.\n \nBio:\nLalaonirina Rakotomanana obtained his PhD at the Mecha
 nics Department of the EPFL in 1986. Following his phD\, he was a member o
 f the Orthopedics Biomechanics Group of the Biomedical Engineering Laborat
 ory (EPFL)\, Privat Docent and Maître d’Enseignement et Recherche at th
 e Medical School (University of Lausanne). He moved then to the Mathematic
 s Department of the University of Rennes 1 (France).  His research topics
  focus on the development of mathematical models for dynamics of structure
 s and materials\, for thermomechanics of tissues and for wave propagation 
 within non homogeneous matter.\n 
LOCATION:CM 1 4 https://plan.epfl.ch/?room==CM%201%204
STATUS:CONFIRMED
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