Updated Lagrangian formulation for corrected Smooth Particle Hydrodynamics

Author (s): Huerta, A., Vidal, Y. and Bonet, J.
Journal: International Journal of Computational Methods

Volume: 3, Issue 4
Pages: 383 – 399
Date: 2006

Smooth Particle Hydrodynamics (SPH) are,in general, more robust than finite elements for large distortion problems. Nevertheless, updating the reference configuration may be necessary in some problems involving extremely large distortions. If a standard updated formulation is implemented in SPH zero energy modes are activated and spoil the solution. It is important to note that the updated Lagrangian does not present tension instability but only zero energy modes. Here an stabilization technique is incorporated to the updated formulation to obtain an improved method without mechanisms



  Author   = {Huerta, Antonio and Vidal, Yolanda and Bonet, Javier},
  Title    = {Updated {L}agrangian formulation for corrected smooth particle hydrodynamics},
  Fjournal = {International Journal of Computational Methods},
  Journal  = {0219-8762},
  Volume   = {3},
  Number   = {4},
  Pages    = {383--399},
  Year     = {2006},
  Doi      = {10.1142/S0219876206001120},
  Url      = {http://dx.doi.org/10.1142/S0219876206001120}}