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ANN constitutive material model in the shakedown analysis of an aluminum structure

Potrzeszcz-Sut B., Pabisek E.

Computer Assisted Methods in Engineering and Science

2014

Vol. 21, no. 1

49--58

The paper presents the application of artificial neural networks (ANN) for description of the Ramberg-Osgood (RO) material model, representing the nonlinear strain-stress relationship of ε(σ). A neural model of material (NMM) is a feed-forward layered neural network (FLNN) whose parameters were determined using the penalized least squares (PLS) method. A FLNN performing the inverse problem: σ(ε), using pseudo empirical patterns, was developed. Two models of NMM were developed, i.e. a standard model (SNN) and a model based on Bayesian inference (BNN). The properties of the models were compared on the example of a reference truss structure. The computations were performed by means of the hybrid FEM/NMM program, in which NMM developed previously described the current model of the material, and made it possible to explicitly build a tangent operator Et = dσ/dε. The neural model of material was applied to the analysis of the shakedown of load carrying capacity of an aluminum truss.