Stabilized updated Lagrangian corrected SPH for explicit dynamic problems

Author (s): Vidal, Y., Bonet, J. and Huerta, A.
Journal: International Journal for Numerical Methods in Engineering

Volume: 69, Issue 13
Pages: 2687 – 2710
Date: 2007

Smooth Particle Hydrodynamics with a total Lagrangian formulation are, in general, more robust than finite elements for large distortion problems. Nevertheless, updating the reference configuration may still be necessary in some problems involving extremely large distortions. However, as discussed here a standard updated formulation su®ers the presence of zero energy modes that are activated and may spoil completely the solution. It is important to note that, unlike an Eulerian formulation, 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 and capable to solve problems with extremely large distortions.



  Author   = {Vidal, Y. and Bonet, J. and Huerta, A.},
  Title    = {Stabilized updated {L}agrangian corrected {SPH} for explicit dynamic problems},
  Fjournal = {International Journal for Numerical Methods in Engineering},
  Journal  = {0029-5981},
  Volume   = {69},
  Number   = {13},
  Pages    = {2687--2710},
  Year     = {2007},
  Doi      = {10.1002/nme.1859},
  Url      = {http://dx.doi.org/10.1002/nme.1859}}