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Damage standard models with a fixed convex

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The formal structure of a large class of standard damage models is being revisited. Particular attention is paid to the dependence of damage convex on the damage (internal) variables themselves. This dependence complicates the discussion about the existence and uniqueness conditions since the rate of internal variable is no longer a solution of a symmetric variational inequality. The alternative formulation is put forward involving a complementary set of internal variables. This method, leading to a fixed damage convex, brings back the rate response to an incremental behavior relevant to the generalized standard formalism. Some non-fixed convex models are replaced in the framework of damage models with fixed convex.
Rocznik
Strony
265--276
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Laboratoire de Métallurgie Physique, UMR CNRS 6630 Université de Poitiers, SP2MI BP 30179, 86962 Futuroscope Chasseneuil Cedex, France
autor
  • Laboratoire de Mécanique et de Physique des Matériaux, UMR CNRS 6617 Ecole Nationale Supérieure de Mécanique et d’Aérotechnique BP 40109, 86961 Futuroscope Chasseneuil Cedex, France
autor
  • Laboratoire des Propriétés Mécaniques et Thermodynamiques des Matériaux, UPR CNRS 9001 Institut Galilée, Université Paris XIII Avenue J.B. Clément, 93430 Villetaneuse, France
autor
  • Laboratoire de Recherche sur la Réactivité des Solides, UMR CNRS 5613 Université de Dijon, UFR Sciences et Techniques BP 47870, 21078 Dijon Cedex, France
Bibliografia
  • 1. B. Halphen, Q.S. Nguyen, On generalized standard materials [in French], J. Méca., 14, 39–63, 1975.
  • 2. H. Ziegler, Some extremum principles in irreversible thermodynamics with applications to continuum mechanics, [in:] I.N. Sneddon and W. Koiter, Progress in Solid Mechanics, Vol. IV, North-Holland, Amsterdam, 93–193, 1963.
  • 3. J. J. Moreau, On friction, viscosity and plasticity laws [in French], C.R. Acad. Sci. Paris, 271, 60–611, 1970.
  • 4. Q. S. Nguyen, Stability and bifurcation in plasticity and fracture [in French], C.R. Acad. Sci. Paris, Série II, 292, 817–820, 1981.
  • 5. Q. S. Nguyen, Bifurcation and stability of irreversible systems obeying to the maximum dissipation principle [in French], J. Méca. Théor. Appl., 3, 41–61, 1984.
  • 6. J. J. Marigo, Formulation of a damage law for elastic material [in French], C.R. Acad. Sci. Paris, Série II, 292, 1309–1312, 1981.
  • 7. J. L. Chaboche, Development of continuum damage mechanics for elastic solids sustaining anisotropic and unilateral damage, Int. J. Damage Mech., 2, 311–329, 1993.
  • 8. D. Halm, A. Dragon, A model of anisotropic damage by mesocrack growth; unilateral effect, Int. J. Damage Mech., 5, 384–402, 1996.
  • 9. J.L. Chaboche, J. F. Maire, New progress in micromechanics-based CDM models and their application to CMCs, Comp. Science Tech., 61, 2239–2246, 2001.
  • 10. J. W. Ju, On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects, Int. J. Solids Structures, 25, 803–833, 1989.
  • 11. Q. S. Nguyen, Bifurcation and stability in dissipative media (plasticity, friction, fracture), ASME Appl. Mech. Rev., 47, 1–31, 1994.
  • 12. J.P. Cordebois, F. Sidoroff, Anisotropic damage in elasticity and plasticity [in French], J. Méca. Théor. Appl., Special issue, 45–60, 1982.
  • 13. K. Hayakawa, S. Murakami, Y. Liu, An irreversible thermodynamics theory for elastic-plastic-damage materials, Eur. J. Mech., A/Solids, 17, 13–32, 1998.
  • 14. J. J. Marigo, Constitutive relations in plasticity, damage and fracture mechanics based on a work property, Nuclear Eng. Design, 114, 249–272, 1989.
  • 15. E. Lorentz, S. Andrieux, Analysis of non-local models through energetic formulations, Int. J. Solids Structures, 40, 2905–2936, 2003.
  • 16. J. Besson, G. Cailletaud, J. L. Chaboche, S. Forest, Nonlinear mechanics of materials [in French], Hermès, Paris 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0006-0071
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