I am looking for the best way to study the impact of the earthquake on the capacity of the piles in numerical methods. Which one is more realistic in your opinion? Applying the loading rate of the pile during an earthquake or after it.
To calculate the capacity of piles under earthquake loading using numerical methods, there are many software can be used the notable among them PLAXIS3D, FLAC3D or ABAQUS. For analytical methods the books written by Gopal Madhubushi on Piles in liquefiable soils. All the best in your research.