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)

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  1. Boĭkov, D. S.; Ol’khovskaya, O. G.; Gasilov, V. A.: Coupled simulation of gasdynamic and elastoplastic phenomena in a material under the action of an intensive energy flux (2021)
  2. Chalk, C. M.; Pastor, M.; Peakall, J.; Borman, D. J.; Sleigh, P. A.; Murphy, W.; Fuentes, R.: Stress-particle smoothed particle hydrodynamics: an application to the failure and post-failure behaviour of slopes (2020)
  3. Sun, Zhiyuan; Liu, Jun; Wang, Pei: The predictor-corrector algorithm for hourglass control (2020)
  4. Kucharik, M.; Scovazzi, G.; Shashkov, M.; Loubère, R.: A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics (2018)
  5. Latorre, Marcos; Montáns, Francisco J.: A new class of plastic flow evolution equations for anisotropic multiplicative elastoplasticity based on the notion of a corrector elastic strain rate (2018)
  6. Sanz, Miguel Á.; Montáns, Francisco J.; Latorre, Marcos: Computational anisotropic hardening multiplicative elastoplasticity based on the corrector elastic logarithmic strain rate (2017)
  7. Margolin, L. G.: A strain space framework for numerical hyperplasticity (2016)
  8. Cheng, Junxia; Tian, Baolin: Elimination of hourglass distortions by means of the Lagrangian-Gauss-point-mass method for compressible fluid flows (2015)
  9. Dobrev, Veselin A.; Kolev, Tzanio V.; Rieben, Robert N.: High order curvilinear finite elements for elastic-plastic Lagrangian dynamics (2014)
  10. Shen, Zhijun; Yan, Wei; Yuan, Guangwei: A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method (2014)
  11. Lipnikov, K.; Shashkov, M.: A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes (2010)
  12. 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)
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  14. Papadopoulos, Panayiotis; Lu, Jia: On the formulation and numerical solution of problems in anisotropic finite plasticity (2001)
  15. Caramana, E. J.; Rousculp, C. L.; Burton, D. E.: A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry (2000)
  16. Caramana, E. J.; Shashkov, M. J.: Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures (1998)
  17. Auricchio, Ferdinando; Taylor, Robert L.: Shape-memory alloys: Modelling and numerical simulations of the finite-strain superelastic behavior (1997)
  18. Auricchio, Ferdinando; Taylor, Robert L.; Lubliner, Jacob: Shape-memory alloys: Macromodelling and numerical simulations of the superelastic behavior (1997)
  19. Simo, J. C.; Meschke, G.: A new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials (1993)
  20. Benson, David J.: Computational methods in Lagrangian and Eulerian hydrocodes (1992)

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