Issue 65

A. Namdar et alii, Frattura ed Integrità Strutturale, 65 (2023) 112-134; DOI: 10.3221/IGF-ESIS.65.09

    N x Global enrichment function i a

Unknowns associated with the enrichments

Γ s

Crack path

Ω A Ω B

Shaded area is portion of a new element A Shaded area is portion of a new element B Standard finite element method shape functions

N

U A U B

Displacement in node A Displacement in node B

d

Obtained nonlinear displacement Predicted displacement by ANNs

d p

o D

Mean value of obtained nonlinear displacement.

J

Jacobian matrix Hessian matrix

H

e

Vector of network errors

k g

Gradient  1 k W Updated weights in the Levenberg-Marquardt algorithm

134

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