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

Sebastián Ossandón, Camilo Reyes

Resultado de la investigación: Article

3 Citas (Scopus)

Resumen

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.

Idioma originalEnglish
Páginas (desde-hasta)113-118
Número de páginas6
PublicaciónComptes Rendus - Mecanique
Volumen344
N.º2
DOI
EstadoPublished - 1 feb 2016
Publicado de forma externa

Huella dactilar

Mathematical operators
Elasticity
Neural networks
Numerical methods
Finite element method

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials

Citar esto

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abstract = "A new numerical method is presented with the purpose to calculate the Lam{\'e} coefficients, associated with an elastic material, through eigenvalues of the elasticity operator. The finite element method is used to solve repeatedly, using different Lam{\'e} coefficients values, the direct problem by training a direct radial basis neural network. A map of eigenvalues, as a function of the Lam{\'e} 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.",
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On the neural network calculation of the Lamé coefficients through eigenvalues of the elasticity operator. / Ossandón, Sebastián; Reyes, Camilo.

En: Comptes Rendus - Mecanique, Vol. 344, N.º 2, 01.02.2016, p. 113-118.

Resultado de la investigación: Article

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