On the neural network calculation of the Lamé coefficients through eigenvalues of the elasticity operator

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Abstract

A new numerical method is presented with the purpose to calculate the Lamé coefficients, associated with an elastic material, through eigenvalues of the elasticity operator. The finite element method is used to solve repeatedly, using different Lamé coefficients values, the direct problem by training a direct radial basis neural network. A map of eigenvalues, as a function of the Lamé constants, is then obtained. This relationship is later inverted and refined by training an inverse radial basis neural network, allowing calculation of mentioned coefficients. A numerical example is presented to prove the effectiveness of this novel method.

Original languageEnglish
Pages (from-to)113-118
Number of pages6
JournalComptes Rendus - Mecanique
Volume344
Issue number2
DOIs
StatePublished - 1 Feb 2016
Externally publishedYes

Keywords

  • Artificial neural network
  • Eigenvalues of the elasticity operator
  • Finite-element method
  • Inverse problems
  • Lamé coefficients
  • Radial basis function

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