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SUMMARY:Random Fields: Modeling and Identification - Christian Soize (Univ
 ersité Gustave Eiffel)
DTSTART:20230712T080000Z
DTEND:20230712T090000Z
UID:TALK193909@talks.cam.ac.uk
DESCRIPTION:Lecture: Wednesday 12 July 2023\, 09:00 - 10:00Title: Random f
 ields\, modeling\, and identificationPresenter: Christian SOIZE\n1. Random
  fields in the context of mechanics of materials.- Example of material wit
 h a complex microstructure.- Stochastic models for multiscale modeling of 
 materials.- Generality on the random fields.- Tensor-valued random elastic
 ity field in 3D linear elasticity of random media.- Stochastic elliptic op
 erator and BVP in 3D linear elasticity.- Stochastic computational model.- 
 Statistical inverse problem for identifying the random elasticity field.\n
 2. Algebraic prior probability model for heterogeneous anisotropic elastic
  media.- Representation with a lower bound and a random germ field.- Const
 ruction of the random germ field and its generator of realizations.- Defin
 ition of the hyperparameter.\n3. Algebraic prior stochastic model for hete
 rogeneous elastic media with statistical fluctuations&nbsp\;&nbsp\; &nbsp\
 ;in a symmetry class and anisotropic statistical fluctuations.- Hypotheses
  on the statistical fluctuations.- Notation and properties for positive ma
 trices with symmetry classes.- Advanced prior stochastic model for the ran
 dom field with material symmetry.\n4. Illustrations in stochastic homogeni
 zation of heterogeneous materials at microscale and nanoscale- Probabilist
 ic analysis of representative volume element size in stochastic homogeniza
 tion of a&nbsp\;&nbsp\; heterogeneous complex microstructure.- Stochastic 
 continuum modeling of random interphases from atomistic simulations for a 
 polymer&nbsp\;&nbsp\; nanocomposite and statistical inverse problem.
LOCATION:Seminar Room 1\, Newton Institute
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