PRONTO 2D: A two-dimensional transient solid dynamics program. PRONTO 2D is a two-dimensional transient solid dynamics code for analyzing large deformations of highly nonlinear materials subjected to extremely high strain rates. This Lagrangian finite element program uses an explicit time integration operator to integrate the equations of motion. Four node uniform strain quadrilateral elements are used in the finite element formulation. A number of new numerical algorithms which have been developed for the code are described in this report. An adaptive time step control algorithm is described which greatly improves stability as well as performance in plasticity problems. A robust hourglass control scheme which eliminates hourglass distortions without disturbing the finite element solution is included. All constitutive models in PRONTO are cast in an unrotated configuration defined using the rotation determined from the polar decomposition of the deformation gradient. An accurate incremental algorithm was developed to determine this rotation and is described in detail. A robust contact algorithm was developed which allows for the impact and interaction of deforming contact surfaces of quite general geometry. A number of numerical examples are presented to demonstrate the utility of these algorithms

References in zbMATH (referenced in 13 articles )

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  1. Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N.: Hourglass stabilization and the virtual element method (2015)
  2. Rai, N. K.; Kapahi, A.; Udaykumar, H. S.: Treatment of contact separation in Eulerian high-speed multimaterial dynamic simulations (2014)
  3. Rider, W. J.; Love, E.; Wong, M. K.; Strack, O. E.; Petney, S. V.; Labreche, D. A.: Adaptive methods for multi-material ALE hydrodynamics (2011)
  4. Benson, David J.; Stainier, Laurent: An Eulerian shell formulation for fluid-structure interaction (2000)
  5. Repetto, E. A.; Radovitzky, R.; Ortiz, M.: Finite element simulation of dynamic fracture and fragmentation of glass rods (2000)
  6. Benson, David J.: Stable time step estimation for multi-material Eulerian hydrocodes (1998)
  7. Camacho, G. T.; Ortiz, M.: Adaptive Lagrangian modelling of ballistic penetration of metallic targets (1997)
  8. Maudlin, P. J.; Schiferl, S. K.: Computational anisotropic plasticity for high-rate forming applications (1996)
  9. Benson, D. J.: A multi-material Eulerian formulation for the efficient solution of impact and penetration problems (1995)
  10. Swegle, J. W.; Attaway, S. W.: On the feasibility of using smoothed particle hydrodynamics for underwater explosion calculations (1995)
  11. Benson, David J.: Computational methods in Lagrangian and Eulerian hydrocodes (1992)
  12. Healy, B. E.; Dodds, R. H. jun.: A large strain plasticity model for implicit finite element analyses (1992)
  13. Flanagan, D. P.; Taylor, L. M.: An accurate numerical algorithm for stress integration with finite rotations (1987)