Data-Driven Prediction of Stress Response for Inelastic Discrete RVE

Multiscale homogenization enables the calculation of the macroscopic stress response of a discrete periodic representative volume element (RVE) of a (quasi) brittle materials subjected to a macroscopic strain, accurately capturing their nonlinear inelastic behaviour.Wider application of the RVE as a microstructural constitutive model is hindered by its high computational cost.This paper investigates two data-driven approaches to approximate the effective response of the RVE.3D RVE is loaded by uniaxial macroscopic strain and the response is approximated using polynomial chaos expansion (PCE) and neural networks.Both approaches incorporate a predefined history variable to incorporate the path dependency, while the second also tries to leverage recurrent neural networks (RNNs) to learn the load path dependency autonomously.The results show that the RNN can reach the same accuracy as a feed-forward network with a history variable given enough training data.The PCE provides good results but does not reach the precision of the other methods.