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

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.

Autores: Ossandón, S., Reyes, C.

Journal: Comptes rendus - Mécanique

Journal Volume: 344

Journal Issue: 2

Journal Page: 113-118

Tipo de publicación: ISI

Fecha de publicación: 2015

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

DOI: 10.1016/j.crme.2015.10.004

URL de la publicación: http://www.sciencedirect.com/science/article/pii/S1631072115001254