This study investigates different Scientific Machine Learning (SciML) approaches for the analysis of functionally graded porous beams.
The methods consider the output of a neural network/operator as an approximation to the displacement fields and derive the equations governing beam behavior.
The study compares three approaches: (a) Physics-Informed Neural Network (PINN), (b) Deep Energy Method (DEM), and (c) Neural Operator methods.
A neural operator has been trained to predict the response of the porous beam with functionally graded material under any porosity distribution pattern and traction condition.