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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Random Fields: Modeling and Identification - Chris
 tian Soize (Université Gustave Eiffel)
DTSTART;TZID=Europe/London:20230712T090000
DTEND;TZID=Europe/London:20230712T100000
UID:TALK193909AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/193909
DESCRIPTION:Lecture: Wednesday 12 July 2023\, 09:00 - 10:00Tit
 le: Random fields\, modeling\, and identificationP
 resenter: Christian SOIZE\n1. Random fields in the
  context of mechanics of materials.- Example of ma
 terial with a complex microstructure.- Stochastic 
 models for multiscale modeling of materials.- Gene
 rality on the random fields.- Tensor-valued random
  elasticity field in 3D linear elasticity of rando
 m media.- Stochastic elliptic operator and BVP in 
 3D linear elasticity.- Stochastic computational mo
 del.- Statistical inverse problem for identifying 
 the random elasticity field.\n2. Algebraic prior p
 robability model for heterogeneous anisotropic ela
 stic media.- Representation with a lower bound and
  a random germ field.- Construction of the random 
 germ field and its generator of realizations.- Def
 inition of the hyperparameter.\n3. Algebraic prior
  stochastic model for heterogeneous elastic media 
 with statistical fluctuations&nbsp\;&nbsp\; &nbsp\
 ;in a symmetry class and anisotropic statistical f
 luctuations.- Hypotheses on the statistical fluctu
 ations.- Notation and properties for positive matr
 ices with symmetry classes.- Advanced prior stocha
 stic model for the random field with material symm
 etry.\n4. Illustrations in stochastic homogenizati
 on of heterogeneous materials at microscale and na
 noscale- Probabilistic analysis of representative 
 volume element size in stochastic homogenization o
 f a&nbsp\;&nbsp\; heterogeneous complex microstruc
 ture.- Stochastic continuum modeling of random int
 erphases from atomistic simulations for a polymer&
 nbsp\;&nbsp\; nanocomposite and statistical invers
 e problem.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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