Nike2D: an implicit, finite deformation, finite element code for analyzing the static and dynamic response of two-dimensional solids. A user’s manual is presented for NIKE2D along with a brief description of the implicit algorithm. Sample applications are presented including the simulation of the necking of a unaxial tension specimen, a static analysis of an O-ring, and a cylindrical bar impacting a rigid wall. NIKE2D is an implicit, finite-deformation, large strain, finite-element code for analyzing the response of two-dimensional axisymmetric and plane strain solids. A variety of loading conditions can be handled including traction boundary conditions, displacement boundary conditions, concentrate nodel point loads, body force loads due to base accelerations, and body force loads due to spinning. Slide-lines with interface friction are available. Elastic, orthotropic, elastic-plastic, soil and crushable foam, thermo-elastic-plastic, and linear viscoelastic material models are implemented. Nearly incompressible behavior that arises in plasticity problems and elasticity problems with Poisson’s ratio approaching 0.5 is accounted for in the element formulation to preclude mesh lock-ups and the associated anomalous stress states. Variable node elements are used for the spatial discretization, and profile (bandwidth) minimization is optional.

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  1. Jia, Zupeng; Gong, Xiangfei; Zhang, Shudao; Liu, Jun: Two new three-dimensional contact algorithms for staggered Lagrangian hydrodynamics (2014)
  2. Miehe, Christian; Welschinger, Fabian; Aldakheel, Fadi: Variational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain space (2014)
  3. Matzen, M.E.; Cichosz, T.; Bischoff, M.: A point to segment contact formulation for isogeometric, NURBS based finite elements (2013)
  4. Wriggers, P.; Schröder, J.; Schwarz, A.: A finite element method for contact using a third medium (2013)
  5. Laursen, Tod A.; Puso, Michael A.; Sanders, Jessica: Mortar contact formulations for deformable-deformable contact: past contributions and new extensions for enriched and embedded interface formulations (2012)
  6. Zavarise, Giorgio; De Lorenzis, Laura; Taylor, Robert L.: A non-consistent start-up procedure for contact problems with large load-steps (2012)
  7. Cichosz, T.; Bischoff, M.: Consistent treatment of boundaries with mortar contact formulations using dual Lagrange multipliers (2011)
  8. Hesch, Christian; Betsch, Peter: Transient 3d contact problems-NTS method: mixed methods and conserving integration (2011)
  9. Weißenfels, C.; Wriggers, P.: Numerical modeling of electrical contacts (2010)
  10. Zavarise, Giorgio; De Lorenzis, Laura: The node-to-segment algorithm for 2D frictionless contact: classical formulation and special cases (2009)
  11. Zhou, X.; Sha, D.; Tamma, K.K.: A robust consistent configuration framework and formulation for 3D finite strain dynamic impact problems (2008)
  12. Vaz, M.jun.; Owen, D.R.J.; Kalhori, V.; Lundblad, M.; Lindgren, L.-E.: Modelling and simulation of machining processes (2007)
  13. Fischer, K.A.: Frictionless 2D contact formulations for finite deformations based on the mortar method (2005)
  14. Puso, Michael A.; Laursen, Tod A.: A mortar segment-to-segment contact method for large deformation solid mechanics. (2004)
  15. Xu, Z.; Accorsi, M.; Leonard, J.: Parallel contact algorithms for nonlinear implicit transient analysis (2004)
  16. Yoo, Y. H.; Lee, M.: A three-dimensional FE analysis of large deformations for impact loadings using tetrahedral elements (2003)
  17. Howell, B. P.; Ball, G. J.: A free-Lagrange augmented Godunov method for the simulation of elastic-plastic solids. (2002)
  18. Ponthot, J. P.: Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes (2002)
  19. Puso, Michael Anthony; Laursen, Tod A.: A 3D contact smoothing method using Gregory patches (2002)
  20. Beissel, Stephen R.; Johnson, Gordon R.: Large-deformation triangular and tetrahedral element formulations for unstructured meshes (2000)

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