A self-consistent approach to the elasto-plastic behaviour of two-phase materials including damage

Bao, 1991, Particle reinforcement of ductile matrices against plastic flow and creep, Acta Metall. Mater., 39, 1871, 10.1016/0956-7151(91)90156-U Berveiller, 1979, An extension of the self-consistent scheme to plastically-flowing polycrystals, J. Mech. Phys. Solids, 26, 325, 10.1016/0022-5096(78)90003-0 Bishop, 1951, A theoretical derivation of plastic properties of a polycrystalline face-center metal, Philos. Mag., 42, 1298, 10.1080/14786444108561385 Bourgeois, N., 1994. Caractérisation et modélisation micromécanique du comportement et de l’endommagement d’un composite á matrice métallique: Al/SiCp. Doctoral thesis, Ecole Centrale des Arts et Manufactures, Châtenay-Malabry, France Brockenbrough, 1995, On the role of particle cracking in flow and fracture of metal matrix composites, Acta Metall. Mater., 43, 11, 10.1016/0956-7151(95)90256-2 Christman, 1989, An experimental and numerical study of deformation in metal–ceramic composites, Acta Metall., 37, 3029, 10.1016/0001-6160(89)90339-8 Clyne, 1993 Corbin, 1994, The influence of particle distribution on the mechanical response of a particulate metal matrix composite, Acta Metall. Mater., 42, 1311, 10.1016/0956-7151(94)90147-3 Crisfield, 1991 Ghosh, 1998, Particle fracture simulation in non-uniform microstructures of metal matrix composites, Acta Mater., 46, 965, 10.1016/S1359-6454(97)00289-9 Gilormini, 1995, Insuffisance de l’extension classique du modèle auto-cohérent au comportement non linéaire, C.R. Acad. Sc. Paris IIb, 320, 115 González, 1996, Prediction of the tensile stress–strain curve and ductility in Al/SiC composites, Scripta Mater., 35, 91, 10.1016/1359-6462(96)00100-5 Hill, 1965, Continuum micro-mechanics of elastoplastic polycrystals, J. Mech. Phys. Solids, 13, 89, 10.1016/0022-5096(65)90023-2 Hutchinson, 1970, Elastic–plastic behavior of polycrystalline metals and composites, Proc. Roy. Soc. London, A355, 101 Kiser, 1996, Plastic flow and fracture of a particulate metal matrix composite, Acta Mater., 44, 3465, 10.1016/1359-6454(96)00028-6 Kröner, 1958, Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls, Z. Physik, 151, 504, 10.1007/BF01337948 Laws, 1979, The effect of fibre length on the overall moduli of composite materials, J. Mech. Phys. Solids, 27, 1, 10.1016/0022-5096(79)90007-3 Lewis, 1995, Weibull modelling of particle cracking in metal matrix composites, Acta Metall. Mater., 43, 3685, 10.1016/0956-7151(95)90152-3 LLorca, 1995, An analysis of the influence of reinforcement fracture on the strength of discontinuously-reinforced metal–matrix composites, Acta Metall. Mater., 43, 181, 10.1016/0956-7151(95)90273-2 LLorca, 1998, Microstructural factors controlling the strength and ductility of particle-reinforced metal–matrix composites, J. Mech. Phys. Solids, 46, 1, 10.1016/S0022-5096(97)00038-0 LLorca, 1993, Particulate fracture during deformation of a spray formed metal–matrix composite, Metall. Trans., 24A, 1575, 10.1007/BF02646597 LLorca, 1991, An analysis of the effects of matrix void growth on deformation and ductility in metal–ceramic composites, Acta Metall. Mater., 39, 2317, 10.1016/0956-7151(91)90014-R Maire, 1997, Role of damage on the flow and fracture of particulate reinforced alloys and metal matrix composites, Acta Metall. Mater., 45, 5261, 10.1016/S1359-6454(97)00147-X Martı́nez, 1996, Reinforcement fracture and ductility in sphere-reinforced metal–matrix composites, 371 Ponte Castañeda, 1992, New variational principles in plasticity and their application to composite materials, J. Mech. Phys. Solids, 40, 1757, 10.1016/0022-5096(92)90050-C Ponte Castañeda, 1996, Exact second-order estimates for the effective mechanical properties of nonlinear composite materials, J. Mech. Phys. Solids, 44, 827, 10.1016/0022-5096(96)00015-4 Ponte Castañeda, 1998, Nonlinear composites, Adv. Appl. Mech., 34, 171, 10.1016/S0065-2156(08)70321-1 Poza, 1999, Mechanical behaviour of Al–Li/SiC composites. Part III: Micromechanical modeling, Metall. Mater. Trans., 30A, 869 Suquet, 1996, Overall properties of nonlinear composites. Remarks on secant and incremental formulations, 149 Suquet, 1997, Effective properties of nonlinear composites, 197 Taylor, 1938, Plastic strains in metals, J. Inst. Metals, 62, 307