In this paper, we consider the optimal control of material micro-structures. Such material micro-structures are modeled by the so-called phase field model. We study the underlying physical structure of the model and propose a data based approach for its optimal control, along with a comparison to the control using a state of the art Reinforcement Learning (RL) algorithm. Simulation results show the feasibility of optimally controlling such micro-structures to attain desired material properties and complex target micro-structures.
@article{arxiv.2210.06734,
title = {Optimal Control of Material Micro-Structures},
author = {Aayushman Sharma and Zirui Mao and Haiying Yang and Suman Chakravorty and Michael J Demkowicz and Dileep Kalathil},
journal= {arXiv preprint arXiv:2210.06734},
year = {2022}
}