A multi-scale "morphological approach" for highly-filled participate composites: evaluation in hyperelasticity and first application to viscohyperelasticity

• Autorzy: Touboul M. , Nadot-Martin C. , Dragon A. , Fanget A.
• Konferencja: Solid Mechanics Conference (35 ; 04-08.09.2006 ; Cracow, Poland)
• Języki publikacji: EN

Abstrakty

EN

This article deals with a non-classical scale transition devoted, in the long-run, to the prediction of the nonlinear mechanical behavior of energetic composites. A geometrical and kinematical schematization of the microstructure is defined as a conspicuous starting point for further localization-homogenization procedure. Thus, salient information on the morphology and some intraphase heterogeneity are taken into account. The first results obtained in a finite strain context for a three-dimensional periodic microstructure are compared to the finite element solution. Furthermore, the ability of the methodology to deal with viscohyperelasticity in a direct manner is illustrated. This is a significant step towards efficient mastery of the scale transition for viscoelastic aggregates, whose inherent characteristic lies in space/time local interactions and relative "long-memory" effect.

Słowa kluczowe

EN

morphological approach; energetic composites; hyperelasticity; viscohyperelasticity; finite strain; FEM

PL

podejście morfologiczne; kompozyty; hipersprężystość; lepkohipersprężystość; podejście odkształceń skończonych; MES (metoda elementów skończonych)

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2007
• Tom: Vol. 59, nr 4-5
• Strony: 403--433
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Touboul M.

autor

Nadot-Martin C.

autor

Dragon A.

autor

Fanget A.

• Laboratoire de Mecanique de Physique des Materiaux (UMR CNRS 6617) Tefeport 2, 1 av. Clement Ader, BP 40109 86961 Futuroscope-Chasseneuil Cedex, France

Bibliografia

• 1. J. CHRISTOFFERSEN, Bonded granulates, J. Mech. Phys. Solids, 31, 55-83, 1983.
• 2. C. NADOT-MARTIN, H. TRUMEL, A. DRAGON, Morphology-based homogenization for viscoelastic particulate composites: Part I: Viscoelasticity sole, Eur. J. Mech. A/Solids, 22, 89-106, 2003.
• 3. S. BEURTHEY, A. ZAOUI, Structural morphology and relaxation spectra of viscoelastic heterogeneous materials, Eur. J. Mech. A/Solids, 19, 1-16, 2000.
• 4. P. SUQUET [in:], Homogenization techniques for composite media, E. Sanchez-Palencia, A. Zaoui [Eds.], Springer, Berlin 1987.
• 5. B, GUIOT, C. NADOT-MARTIN, A. DRAGON, Towards a nonlinear micromechanics-based analysis for particulate composites, Composites Science and Technology, 66, 2726-2735, 2006.
• 6. S. NEMAT-NASSER, M. HORI, Micromechanics: overall properties of heterogeneous materials, Elsevier Science Publishers B.V., The Netherlands 1993.
• 7. M. BORNERT, A generalized pattern-based self-consistent scheme, Computational Materials Science, 5, 17-31, 1996,
• 8. H. MOULINEC, P. SUQUET, Intraphase strain heterogeneity in non linear composites: a computational approach, Eur. J. Mech. A/Solids, 22, 751-770, 2003.
• 9. P. PONTE-CASTANEDA, Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I-theory, J. Mech. Phys. Solids, 50, 737-757, 2002.
• 10. P. PONTE-CASTANEDA, Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: Il-applications, J. Mech. Phys. Solids, 50, 759-782, 2002.
• 11. M.I. IDIART, P. PONTE-CASTANEDA, Field fluctuations and macrocopic properties for nonlinear composites, Int. J. Solids Structures, 40, 7015-7033, 2003.
• 12. M.I. IDIART, H. MOULINEC, P. PONTE-CASTANEDA, P. SUQUET, Macroscopic behavior and field fluctuations in viscoplastic composites: Second-order estimates versus full-field simulations, J. Mech. Phys. Solids, 54, 1029-1063, 2006.
• 13. H. MOULINEC, P. SUQUET, A numerical method for computing the overall response of non linear composites with complex micro structure, Comp. Meth. Appl. Mech. Engng., 157, 69-94, 1998.
• 14. J.C. MICHEL, H. MOULINEC, P. SUQUET, Effective properties of composite materials with periodic micro structure: a computational approach, Comput. Methods Appl. Mech. Engrg., 172, 109-143, 1999.
• 15. O. LOPEZ-PAMIES, P. PONTE-CASTANEDA, Second-order estimates for the large-deformation response of particle-reinforced rubbers, Comptes Rend us Mecanique, 331, 1-8, 2003.
• 16. S. HARTMANN, P. NEFF, Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility, Int. J. Sol. Struct., 40, 2767-2791, 2003.
• 17. M. BORNERT, T. BRETHEAU, P.GILORMINI, Homogeneisation en mecanique des materiaux 2 : Comportements non lineaires et problemes ouverts, HERMES Science Publication, Paris 2001.
• 18. N. LAHELLEC, P. SUQUET, Effective behaviour of linear viscoelastic composites: A time-integration approach, Int. J. Sol. Struct., 44, 2, 507-529, 2007.
• 19. R. BRENNER, R. MASSON, Improved affine estimates for nonlinear viscoelastic composites, Eur. J. Mech. A/Solids, 24, 1002-1015, 2005.
• 20. H. TRUMEL, A. DRAGON, A. FANGET, P. LAMBERT, A constitutive model for the dynamic and high pressure behaviour of a propellant-like material - Part I: Experimental background and general structure of the model, Int. J. Numer. Anal. Methods Geomech., 25, 551-579, 2001.
• 21. H. TRUMEL, A. DRAGON, A. FANGET, P. LAMBERT, A constitutive model for the dynamic and high pressure behaviour of a propellant-like material - Part II: Model development and applications, Int. J. Numer. Anal. Methods Geomech., 25, 581-603, 2001.
• 22. S. REESE, S. GOVINDJEE, A presentation and comparison of two large deformation viscoelasticity models, ASME J. Enging. Mat. Tech., 119, 251-255, 1997.
• 23. P. HEUILLET, L. DUGAUTIER, Modelisation du comportement hyperelastique des elastomeres compacts, Appolor et INPL, Nancy 1997.
• 24. A. REKIK, M, BORNERT, F. AUSLENDER, A. ZAOUI, A methodology for an accurate evaluation of the linearization procedures in nonlinear mean field homogenization, Comptes Rendus Mecanique, 333, 11, 789-795, 2005.
• 25. P. PONTE-CASTANEDA and E. TIBERIO, A second-order homogenization method in finite elasticity and applications to black-filled elastomers, J. Mech. Phys. Solids, 48, 1389-1411, 2000.