Proper Orthogonal Decomposition-Deep-Learning-based Prediction of Plastic Properties Using Indentation Surface Displacement

Author(s):  
Yeong-Gyun Kang ◽  
Seung-Won Lee ◽  
Kyung-Hyun Yoo ◽  
Cheol-Soo Lee
2021 ◽  
Author(s):  
Saumik Dana

The deep learning leveraged FE$^2$ algorithm for two-scale modeling of elastic solids eliminates the need to solve the RVE problem on-the-fly by replacing the effective input-output causality by a neural network. This potentially reduces the computational cost of the FE$^2$ algorithm significantly. In this work, we put forth the use of snapshot proper orthogonal decomposition to improve the accuracy of the machine learning leveraged algorithm. Instead of training one neural net, multiple neural nets are trained with the coefficients of the basis of the snapshot matrix as the target.


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