Constitutive Modelling of Concrete and Nonlinear Computational Dynamics

6. References

• Aifantis , E. C. 1984 . On the microstructural origin of certain inelastic models. . J. Engng. Mater. Technol. , 106 : 326 – 334 .
   Web of Science ®Google Scholar
• Bathe , K. J. 1982 . Finite element procedures in engineering analysis New Jersey : Prentice Hall .
   Google Scholar
• Bazant , Z. P. , Belytschko , T. B. and Chang , T.P. 1984 . Continuum theory for strain-softening . ASCE J. Eng. Mech. , 110 : 1666 – 1692 .
   Web of Science ®Google Scholar
• van den Boogaard , A. H. 1995 . Implicit integration of the Perzyna viscoplastic material model, TNO-report 95-NMR711, The Netherlands
   Google Scholar
• de Borst , R. and Nauta , P. 1985 . Non-orthogonal cracks in a smeared finite element model . Eng. Comp. , 2 ( 1 ) : 35 – 46 .
   Google Scholar
• de Borst , R. 1986 . Non-linear analysis of frictional materials Dissertation, Delft University of Technology, Delft
   Google Scholar
• de Borst , R. and Feenstra , P. H. 1990 . Studies in anisotropic plasticity with reference to the Hill criterion . Int. J. Num. Meth. Eng. , 29, 315–336
   Google Scholar
• de Borst , R. and Mühlhaus , H.B. 1992 . Gradient-dependent plasticity: Formulation and algorithmic aspects . Int. J. Num. Meth. Eng. , 35, 521–539
   Google Scholar
• de Borst , R. , Sluys , L. J. , Mühlhaus , H.B. and Pamin , J. 1993 . Fundamental issues in finite element analyses of localization of deformation. . Engng Comput. , 10 : 99 – 121 .
   Google Scholar
• Duvaut , G. and Lions , J. L. 1972 . Les inequations en Mechanique et en Physique Paris : Dunod .
   Google Scholar
• Hughes , T. J.R. 1987 . The finite element method—Linear static and dynamic finite element analysis New Jersey : Prentice-Hall .
   Google Scholar
• Ju , J. W. 1989 . On energy-base coupled elastoplastic damage theories: constitutive modeling and computational aspects. . Int. J. Solids Structures , 25 : 803 – 833 .
   Web of Science ®Google Scholar
• Lasry , D. and Belytschko , T. 1988 . Localization limiters in transient problems. . Int. J. Solids Structures , 24 : 581 – 597 .
   Google Scholar
• Loret , B. and Prevost , J. H. 1990 . Dynamic strain localization in elasto-(visco-)plastic solids, Part 1. General formulation and one-dimensional examples . Comp. Meth. Appl. Mech. Eng. , 83 : 247 – 273 .
   Web of Science ®Google Scholar
• Mühlhaus , H.B. and Aifantis , E. C. 1991 . A variational principle for gradient plasticity. . Int. J. Solids Structures , 28 : 845 – 858 .
   Web of Science ®Google Scholar
• Ortiz , M. and Simo , J. 1986 . An analysis of a new class of integration algorithms for elastoplastic constitutive equations . Int. J. Num. Meth. Eng. , 23 : 353 – 366 .
   Web of Science ®Google Scholar
• Pamin , J. 1994 . Gradient-dependent plasticity in numerical simulation of localization phenomena. Dissertation Delft University of Technology . Delft
   Google Scholar
• Perzyna , P. 1966 . Fundamental problems in viscoplasticity, Recent Advances in Applied Mechanics Vol. 9 , 243 – 377 . New York : Academic Press .
   Google Scholar
• Pijaudier-Cabot , G. and Bazant , Z. P. 1987 . Nonlocal damage theory . ASCE J. Eng. Mech. , 113 : 1512 – 1533 .
   Web of Science ®Google Scholar
• Rots , J. G. 1988 . Computational modeling of concrete fracture Dissertation, Delft University of Technology, Delft
   Google Scholar
• Schreyer , H. L. and Chen , Z. 1986 . One-dimensional softening with localization . J. Appl. Mech. , 53 : 791 – 979 .
   Web of Science ®Google Scholar
• Simo , J. C. , Kennedy , J. G. and Govindjee , S. 1988 . Non-smooth multisurface plasticity and visco-plasticity—Loading/unloading conditions and numerical algorithms. . Int. J. Num. Meth. Eng. , 26 : 2161 – 2185 .
   Web of Science ®Google Scholar
• Simo , J. 1989 . Strain-softening and dissipation: a unification of approaches, Cracking and Damage: Strain Localization and Size Effect, Eds. J. Mazars and Z.P. Bazant 440 – 461 . London-New York : Elsevier .
   Google Scholar
• Sluys , L. J. , Mühlhaus , H.B. and de Borst , R. 1992 . Wave propagation, localization and dispersion in a gradient-dependent medium. . Int. J. Solids Structures , 30 : 1153 – 1171 .
   Google Scholar
• Sluys , L. J. 1992 . Wave propagation, localisation and dispersion in softening solids. Dissertation Delft University of Technology . Delft
   Google Scholar
• Wang , W. M. 1997 . Stationary and propagative instabilities in metals. A computational point of view. Dissertation Delft University of Technology . Delft
   Google Scholar
• Whitham , G. B. 1974 . Linear and nonlinear waves New York : John Wiley and Sons . -London-Sydney-Toronto
   Google Scholar
• Zbib , H. M. and Aifantis , E. C. 1988 . On the localization and postlocalization behavior of plastic deformation, I,II,III . Res Mechanica , 23 : 261 – 277 . 279–292,293–305
   Google Scholar