Homogenization process from [Lebée et al, 2017]
The homogenization process above was introduced in [Lebée et al, 2017]. It leads to a system of constrained nonlinear PDEs. I work on proving existence and uniqueness of the solutions of those PDEs and on developing numerical methods to approximate them.
Phase-Field for fracture
3 point bending test
A neural net
The crux is to determine the optimal number of layers as well as the optimal numer of dofs.
Results of the stochastic gradient descent to train a neural net.
Making sure the training dataset is not overfitted.