Paper 1: Jian-Yu Chen, and Fue-Sang Lien. "Simulations for soil explosion and its effects on structures using SPH method." International Journal of Impact Engineering 112 (2018): 41-51.
Paper 2: Jian-Yu Chen, Chong Peng, and Fue-Sang Lien. "Simulations for three-dimensional landmine detonation using the SPH method." International Journal of Impact Engineering 126 (2019): 40-49.
Paper 3: Jian-Yu Chen, Chong Peng, Fue-Sang Lien, and Xiao-Hua Zhao. "Simulations for the explosion in a water-filled tube including cavitation using the SPH method" Computational Particle Mechanics (2019): 1-13.
Basic ideas of the SPH method
Kernel approximation


Particle approximation



Navier-Stokes (NS) equation
- Continuity density equation

- Particle approximation of momentum

- Particle approximation of energy

- Equation of state

Artificial viscosity




Soil model
Stress-strain relationship

Yield criterion (Drucker-Prager)

Plastic multiplier

Numerical errors

Tension cracking (D-E) and stress scaling back procedure


Axisymmetric collapse of dry sand

Impact force of sand on a rigid wall

