Multiscale Methods for Composites: A Review
Tóm tắt
Tài liệu tham khảo
Arnold S, Wilt T (1992) Influence of engineered interfaces on residual stresses and mechanical response in metal matrix composites. NASA Technical Memorandum 105438, Cleveland, Ohio
Babuska I, Strouboulis S, Upadhyay CS, Gangaraj SK (1995) A posteriori estimation and adpatative control of the pollution error in the h-version of the finite element method. Technical Note BN 1175, Institute for Physical Science and Technology, University of Maryland, College Park, MD
Bornert M (2001) Homogénéisation des milieux aléatoires; bornes et estimations. In: Bornert M, Bretheau T, Gilormini P (eds) Homogénéisation en mécanique des matériaux, vol 1. Hermès, Paris, pp 133–221
Boso DP, Lefik M, Schrefler BA (2006) Thermal and bending strain on Nb3Sn strands. IEEE Trans Appl Supercond 16(2):1823–1827
Boutin C (1995) Heat conduction with microstructural effects. In: Dembicki E, Auriault J-L, Sikora Z (eds) Homogenization, theory of migration and granular bodies. University of Gdansk, Gdansk, pp 53–63
Budiansky B, Hashin Z, Sanders JL (1960) The stress field of a slipped crystal and the early plastic behavior of polycrystalline materials. In: Plasticity, proc 2nd symp naval struct mech. Pergamon, Oxford, p 239
Cailletaud G (1987) Une approche micromécanique phénoménologique du comportement inélastique des métaux. PhD, Université Pierre et Marie Curie, Paris 6
Cambou B, Dubujet P, Emeriault F, Sidoroff F (1995) Homogenisation of granular materials. Eur J Mech A/Solids 14:255–276
Carrère N (2001) Sur l’analyse multiéchelle des matériaux composites à matrice métallique: application au calcul de structure. PhD, Ecole Polytechnique, Palaiseau
Chaboche J-L, Kruch S, El Mayas N (1994) Lois de comportement thermoelastoviscopastique des composites à matrice métallique. C R Acad Sci Paris Sér II 319:971–977
Conductor database, Appendix C, Annex II. Thermal, electrical and mechanical properties of materials at cryogenic temperatures, 24 Aug 2000
Doghri I, Ouaar A (2003) Homogenization of two-phase elasto-plastic composite materials and structures study of tangent operators, cyclic plasticity and numerical algorithms. Int J Solids Struct 40:1681–1712
Dumontet H (1990) Homogénéisation et effets de bords dans les matériaux composites. Thèse de doctorat d’état, Université Pierre et Marie Curie Paris 6, Paris
Eshelby JD (1957) The elastic field of an ellipsoidal inclusion and related problems. Proc R Soc A 241:376–396
Feyel F (1998) Application du calcul parallèle aux modèles à grand nombre de variables internes. Thèse de doctorat, Ecole Nationale Supérieure des Mines de Paris
Feyel F, Cchaboche JL, Kruch S (1998) Multiscale elastoplastic and damage analysis of composites structures. In: IWCCM8, Stuttgart, October 8–9, 1998
Fish J (1992) The s-version of the finite element method: SCOREC report 90-18. Comput Struct 43:539–547
Francfort GA (1984) Homogenisation and fast oscillations in linear thermoelasticity. In: Lewis R, Hinton E, Betess P, Schrefler B (eds) Numerical methods for transient and coupled problems. Pineridge Press, Swansea, pp 382–392
Ghosh S, Liu Y (1995) Voronoi cell finite element method for micropolar thermoelastic heterogeneous materials. Int J Numer Methods Eng 38:1361–1398
Halphen B, Nguyen QS (1975) Sur les matériaux standard généralisé. J Méc 14(1):39–63
Lefik M, Schrefler BA (2000) Modelling of non-stationary heat conduction problems in micro-periodic composites using homogenisation theory with corrective terms. Arch Mech 52(2):203–223
Lin TH (1957) Analysis of elastic and plastic strains of a fcc crystal. J Mech Phys Solids 5:143
Masson R (1998) Estimation non linéaires du comportement global de matériaux hétérogènes en formulation affine. Thèse de l’Ecole Polytechnique, Palaiseau
Mura T (1993) Micromechanics of defects in solids, 2nd edn. Kluwer Academic, Dordrecht
Nemat-Nasser S, Hori M (1999) Micromechanics: overall properties of heterogeneous solids, 2nd edn. Elsevier, Amsterdam
Paul B (1960) Prediction of elastic constants of multiphase materials. Trans ASME 218:36–41
Ponte Castañeda P, Suquet P (1998) Nonlinear composites. Adv Appl Mech 34:171–302
Pottier T (1998) Modélisation multiéchelle du comportement et de l’endommagement de composites à matrice métallique. Thèse de Doctorat des Ponts et Chaussées
Renard J, Marmonier MF (1987) Etude de l’initiation de l’endommagement dans la matrice d’un matériau composite par une méthode d’homogénisation. Aerosp Sci Technol 6:37–51
Sanchez-Palencia E (1980) Non-homogeneous media and vibration theory. Springer, Berlin
Schrefler BA, Lefik M, Galvanetto U (1997) Correctors in a beam model for unidirectional composites. Mech Compos Mater Struct 4:159–190
Suquet P (1983) Analyse limite et homogénéisation. C R Acad Sci Paris II 295:1335–1358
Suquet P (1987) Elements of homogenisation for inelastic solid mechanics. In: Sanchez-Palencia E, Zaoui A (eds) Homogenization techniques for composite media. Lecture notes in physics, vol 272. Springer, New York, pp 193–278
Suquet P (1995) Overall properties of nonlinear composites: a modified secant moduli theory and its link with Ponte Castañeda’s non linear variational procedure. C R Acad Sci Paris, Sér II 320:563–571
Suquet P, Ponte Castañeda P (1993) Small-contrast perturbation expansions for the effective properties of nonlinear composites. C R Acad Sci Paris, Sér II 317:1515–1522
Van der Sluis O (2001) Homogenisation of structured elastovisplastic solids. PhD thesis, Eindhoven University of Technology, Eindhoven, The Netherlands
Voyiadjis GZ, Park T (1995) Local and interfacial analysis damage of metal matrix composites. Int J Eng Sci 33:1595–1613
Weiss KP (2006) Cryogenic laboratory test for V-I characterisation of subcable samples, Association FZK-Euratom. Karlsruhe, Germany. Progress report 3 (Contract FU06-CT-2003-00335), January 25, 2006
Wisniewski K, Schrefler BA (1993) On recovery of stresses for a multi-layered beam element. Eng Comput 10:563–569
Zienkiewicz OC, Taylor RL (2005) The finite element method for solid and structural mechanics, 6th edn. Elsevier, Amsterdam