TENSOR

The program, TENSOR, for the calculation of underground explosion phenomena and other time dependent problems involving the motion of elastic, plastic, fractured, and fluid materials is discussed. The method used in the code allows treatment of transient phenoraena in two space dimensions (cartesian or axial symmetry), and is particularly appropriate for problems involving compressible flow, large displacements, and free transitions of material between the elastic, cracked, plastic, and fluid states. The equations of motion are a straightforward generalization (to include a stress tensor) of conventional Lagrangian techniques for compressible flow and shock hydrodynamics problems. Methods for defining the stress system are discussed, and examples are included. (auth)


References in zbMATH (referenced in 26 articles )

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  1. Kucharik, M.; Scovazzi, G.; Shashkov, M.; Loubère, R.: A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics (2018)
  2. Cheng, Junxia; Tian, Baolin: Elimination of hourglass distortions by means of the Lagrangian-Gauss-point-mass method for compressible fluid flows (2015)
  3. Dobrev, Veselin A.; Kolev, Tzanio V.; Rieben, Robert N.: High order curvilinear finite elements for elastic-plastic Lagrangian dynamics (2014)
  4. Shen, Zhijun; Yan, Wei; Yuan, Guangwei: A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method (2014)
  5. Lipnikov, K.; Shashkov, M.: A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes (2010)
  6. Har, Jason: A unified stress update algorithm for explicit transient shell dynamics with combined isotropic-kinematic hardening in Eulerian rate-type phenomenological finite elasto-plasticity models (2007)
  7. Noels, L.; Stainier, L.; Ponthot, J.-P.: Energy conserving balance of explicit time steps to combine implicit and explicit algorithms in structural dynamics (2006)
  8. Papadopoulos, Panayiotis; Lu, Jia: On the formulation and numerical solution of problems in anisotropic finite plasticity (2001)
  9. Caramana, E. J.; Rousculp, C. L.; Burton, D. E.: A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry (2000)
  10. Caramana, E. J.; Shashkov, M. J.: Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures (1998)
  11. Auricchio, Ferdinando; Taylor, Robert L.: Shape-memory alloys: Modelling and numerical simulations of the finite-strain superelastic behavior (1997)
  12. Auricchio, Ferdinando; Taylor, Robert L.; Lubliner, Jacob: Shape-memory alloys: Macromodelling and numerical simulations of the superelastic behavior (1997)
  13. Simo, J. C.; Meschke, G.: A new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials (1993)
  14. Benson, David J.: Computational methods in Lagrangian and Eulerian hydrocodes (1992)
  15. Simo, J. C.: Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory (1992)
  16. Benson, David J.: A new two-dimensional flux-limited shock viscosity for impact calculations (1991)
  17. Simo, J. C.: Nonlinear stability of the time-discrete variational problem of evolution in nonlinear heat conduction, plasticity and viscoplasticity (1991)
  18. Benson, David J.; Hallquist, John O.: A single surface contact algorithm for the post-buckling analysis of shell structures (1990)
  19. Briassoulis, Demetres: The (C^ 0) shell plate and beam elements freed from their deficiencies (1989)
  20. Rubin, M. B.: A time integration procedure for plastic deformation in elastic- viscoplastic metals (1989)

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