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2007 | Vol. 59, nr 3 | 205-230
Tytuł artykułu

Effective yield strengths of random materials by an e-self-consistent method

Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of determining the effective yield strength domain of a material containing random distributed heterogeneities is dealt with. This material is represented by a set of microstructures, each occupying a volume of the order of the heterogeneities. A homogeneous comparison material is used, characterized by its own yield strength domain, in which these microstructures are placed. The equivalent homogeneous material is eivisaged as the solution of a system of self-consistent eąuations. The problems of non-existence or non-uniqueness of the solutions of this system lead to modifying it, using an equality to "within e". "Extremal" solutions are highlighted for each of the equations of the system transformed in this way, which bound the effective domain sought for. The proposed hornogenization method is applied to a defect material and the result is compared with a structure calculation.
Wydawca

Rocznik
Strony
205-230
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
autor
autor
  • Laboratoire Sols, Solides, Structures UMR 5521 IUT 1, Departement Genie Civil, Domaine universitaire 151 rue de la papeterie, BP 67, 38402 ST-MARTIN D'HERES CEDEX
Bibliografia
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  • 3. G. BOUCHITTE, P. SUQUET, Charges limites, plasticite et homogeneisation: le cas d'un bord charge, C.R. Acad. Sc. Paris, 305, serie I, 441-444, 1987.
  • 4. P. DE BUHAN, J. SALENgoN, Determination of a macroscopic yield criterion for a multi-layered material, Colloque Int. du C.N.R.S. "Critere de rupture des materiaux a structure interne orientee", Villard-de-Lans, 1983.
  • 5. P. DE BUHAN, Homogeneisation en calcul d la rupture: le cas du materiau composite multicouche, C. R. Acad, SC. Paris, 296, serie II, 933-936, 1983.
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  • 10. P. PONTE CASTANEDA, Second-order homogenization estimates for nonlinear composites incorporating field fluctuations, I, Theory, J. Mech. Phys. Solids, 50, 737-757, 2002.
  • 11. J. PASTOR, P. PONTE CSTANEDA, Yield criteria for porous media in pianę strain: second-order estimates versus numerical results, C. R. Mecaniąue, 330, 741-747, 2002.
  • 12. P. GILORMINI, Insuffisance de l'extension classigue du modele autocoherent au comporte-ment non lineaire, C. R. Acad. Sc. Paris, 320, serie Ilb, 115-122, 1995.
  • 13. J.B. LEBLOND, G. PERRIN, A self-consistent approach to coalescence of cavities in inhomogeneously voided ductile solids, J. Mech. Phys. Solids, 47, 1823-1841, 1999.
  • 14. J.F. BARTHELEMY, L. DORMIEUX, Determination du critere de rupture macroscopigue d'un milieu poreux par homogeneisation non lineaire, C. R. Mecanique, 331, 271-276, 2003.
  • 15. M. ARMINJON, Limit distributions of the states and homogeneization in random media, Acta Mech., 88, 27-59, 1991.
  • 16. M. ARMINJON, T. CHAMBARD, S. TURGEMAN, Variational micro-macro transition with application to reinforced mortars, Int. J. Solids Structures, 31, 5, 683-704, 1994.
  • 17. P. PONTE CASTANEDA, G. DE BOTTON, On the homogenized yield strength of two-phase composites, Proc. R. Soc. Lond. A, 438, 419-431, 1992.
  • 18. K. SAB, Determination de la resistance macroscopigue d'une plague perforee aleatoire-ment, C. R. Acad. Sc. Paris, 319, serie II, 491-497, 1994.
  • 19. S. TURGEMAN, B. GUESSAB, Methode d'homogeneisation autocoherente en calcul a la rupture, C. R. Mecanique, 330, 623-626, 2002.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0005-0031
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