On the neural network calculation of the Lamé coefficients through eigenvalues of the elasticity operator
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
URL de la publicación: http://www.sciencedirect.com/science/article/pii/S1631072115001254