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Elastic perfectly plastic constituents

  • Part IV Elements of Homogenization for Inelastic Solid Mechanics
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Homogenization Techniques for Composite Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 272))

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References

  1. Hill, R., The essential structure of constitutive laws for metal composites and polycristals, J. Mech. Phys. Solids, 15, p. 79–95, 1967.

    Google Scholar 

  2. Litewka, A., Sawczuk, A., Stanislawska, J., Simulation of oriented continuous damage evolution, J. Méca. Th. Appl., 3, p. 675–688, 1984.

    Google Scholar 

  3. Mandel, J., Plasticité classique et viscoplasticité, CISM Lecture Notes no 97, Springer-Verlag, Wein, 1972.

    Google Scholar 

  4. Hashin, Z., Analysis of composite materials: a survey, J. Appl. Mech., 50, p. 481–505, 1983.

    Google Scholar 

  5. Hill, R., A self consistent mechanics of composite materials, J. Mech. Phys. Solids, 13, p. 213–222, 1965.

    Google Scholar 

  6. Aboudi, J., Elastoplasticity theory for porous materials, Mech. Materials, 3, p. 81–94, 1984.Thése

    Google Scholar 

  7. Hill, R., Elastic properties of reinforced solids: some theoretical principles, J. Mech. Phys. Solids, 11, p. 357–372, 1963.

    Google Scholar 

  8. Kröner, E., Statistical Continuum Mechanics, CISM Lecture Notes no 92, Springer-Verlag, Wein, 1972.

    Google Scholar 

  9. Duvaut, G., Homogénéisation et matériaux composites. Trends and Applications of Pure Mathematics to Mechanics, Ed. Ciarlet, Roseau. Springer-Verlag, Wein, p. 35–62, 1984.

    Google Scholar 

  10. Debordes, O., Licht, C., Marigo, J.J., Mialon, P., Michel, J.C., Suquet, P., Analyse limite de structures fortement hétérogénes. Note Technique 85-3, Université de Montpellier, 1985.

    Google Scholar 

  11. Marigo, J.J., Mialon, P., Michel, J.C., Suquet, P., Plasticité et homogénéisation: un exemple de calcul des charges limites d'une structure hétérogéne. Submitted.

    Google Scholar 

  12. Michel, J.C., Homogénéisation de matériaux élastoplastiques avec cavités. Thése, Paris 6, 1984.

    Google Scholar 

  13. Sanchez Palencia, E., Sanchez Palencia, J., Sur certains problémes physiques d'homogénéisation donnant lieu a des phénoménes de relaxation, C.R. Acad. Sc. Paris, (A), 286, 903–906, 1978.

    Google Scholar 

  14. Francfort, G., Leguillon, D., Suquet, P., Homogénéisation de milieux viscoélastiques linéaires de Kelvin Voigt, C.R. Acad. Sc. Paris, I, 296, 287–290, 1983.

    Google Scholar 

  15. Salençon, J., Calcul á la rupture et analyse limite, Presses ENPC, Paris, 1983.

    Google Scholar 

  16. Weill, F., Application de la théorie de l'homogénéisation á l'étude élastique et á la rupture de composites résine-fibres de verre, Thése Doct. Ing. Nantes, 1984.

    Google Scholar 

  17. Suquet, P., Local and global aspects in the mathematical theory of plasticity, in Plasticity Today, Ed. Bianchi & Sawczuk, Elsevier Pub., 1984.

    Google Scholar 

  18. Suquet, P., Méthodes d'homogén'eisation en Mécanique des solides, 15e Congrés du C.F.R. in Comportements nhéologiquez et structure des matériaux, Ed. Huet & Zaoui, Presses ENPC, p. 87–128, 1981.

    Google Scholar 

  19. Drucker, D.C., On minimum weight design and strength of nonhomogeneous plastic bodies, in Nonhomogeneiy in Etasticity and Plasticity, Ed. Olszak, Pergamon Press, 1959.

    Google Scholar 

  20. Shu, L.S., Rosen, B.W., Strength of fiber reinforced composites by limit analysis method., J. Composite Mat., 1, p. 366–381, 1967.

    Google Scholar 

  21. Mc Laughlin, P.V., Limit behavior of fibrous materials, Int. J. Solids Struct., 6, p. 1357–1376, 1970.

    Google Scholar 

  22. Le Nizhery, D., Calcul à la rupture des matériaux composites, Symposium Franco-Polonais, Cracovie 1977, in Problémes non linéaires de Mécanique, Ed. Acad. Sc. Pologne, Varsovie, 1980, p. 359–370.

    Google Scholar 

  23. De Buhan, P., Homogénéisation en calcul á la rupture: le cas du matériau composite multicouche, C.R. Acad. Sc. Paris, II, 296, p. 933–936, 1983.

    Google Scholar 

  24. De Buhan, P., Salenccon, J., Determination of a macroscopic yield criterion for a multilayered material, Colloque CNRS, Critéres de rupture des matériaux à structure interne orientée, Ed. J.P. Boehler, To be published.

    Google Scholar 

  25. Gurson, A.L., Continuum theory of ductile rupture by void nucleation and growth: I. Yield criteria and flow rules for porous ductile media, J. Eng. Mat. Tech., 99, 1977, p. 1–15.

    Google Scholar 

  26. Chrysochoos, A., Bilan énergétique en élastoplasticité grandes deformations, To be published in. J. Méca. Th. Appl.

    Google Scholar 

  27. Halphen, B., Nguyen Q.S., Sur les matériaux standard généralisés, J. Méca., 14, p. 39–63, 1975.

    Google Scholar 

  28. Germain, P., Nguyen, Q.S., Suquet, P., Continuum thermodynamics, J. Appl. Mech., 105, p. 1010–1020, 1983.

    Google Scholar 

  29. Rice, J.R., On the structure of stress-strain relations for time dependent plastic deformations in metals, J. Appt. Mech., 37,p. 728–737, 1970.

    Google Scholar 

  30. Dvorak, G., Rao, M., Axisymmetric plasticity theory of fibrous composites, Int. J. Eng. Sc., 9, p. 971, 1971.

    Google Scholar 

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Enrique Sanchez-Palencia André Zaoui

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© 1987 Springer-Verlag

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Suquet, P.M. (1987). Elastic perfectly plastic constituents. In: Sanchez-Palencia, E., Zaoui, A. (eds) Homogenization Techniques for Composite Media. Lecture Notes in Physics, vol 272. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17616-0_19

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  • DOI: https://doi.org/10.1007/3-540-17616-0_19

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  • Print ISBN: 978-3-540-17616-9

  • Online ISBN: 978-3-540-47720-4

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