Damage in MMCs using the GMC: theoretical formulation

Hill, 1965, A self-consistent mechanics of composite material, J. Mech. Phys. Solids, 13, 213, 10.1016/0022-5096(65)90010-4 Hill, 1972, On constitutive micro-variables of heterogeneous solids at finite strain, A326, 131 Dvorak, 1979, Elastic-plastic behavior of fibrous composites, J. Mech. Phys. Solids, 27, 51, 10.1016/0022-5096(79)90010-3 Dvorak, 1982, Plasticity analysis of fibrous composites, J. Appl. Mech., 49, 327, 10.1115/1.3162088 Dvorak, 1987, A bimodal plasticity theory of fibrous composite materials, Acta. Mech., 219, 10.1007/BF01175723 Paley, 1992, Micromechanical analysis of composites by the generalized cells model, Mech. Mater., 14, 127, 10.1016/0167-6636(92)90010-B Aboudi, 1989, Micromechanical analysis of composites by the method of cells, Appl. Mech. Rev., 42, 193, 10.1115/1.3152428 Aboudi, 1991 Kachanov, 1958, On the creep fracture time, Izv Akad. Nauk USSR Ord. Tech., 8, 26 Lemaitre, 1985, A continuous damage mechanics model for ductile fracture, J. Eng. Mater. Technol., 107, 83, 10.1115/1.3225775 Chaboche, 1988, Continuum damage mechanics, J. Appl. Mech., 55, 59, 10.1115/1.3173661 Krajcinovic, 1983, Constitutive equations for the damaging materials, J. Appl. Mech., 50, 355, 10.1115/1.3167044 Voyiadjis, 1992, A plasticity-damage theory for large deformations of solids, Part I: Theoretical formulation, Int. J. Eng. Sci., 30, 1089, 10.1016/0020-7225(92)90059-P Voyiadjis, 1995, Local and interfacial analysis damage of metal matrix composites, Int. J. Eng. Sci., 33, 1595, 10.1016/0020-7225(95)00029-W Allen, 1987, A thermomechanical constitutive theory for elastic composites with distributed damage, 23, 1301 Dvorak, 1987, Analysis of progressive matrix cracking in composite laminates—II. First ply failure, J. Compos. Mater., 29, 309, 10.1177/002199838702100402 Dvorak, 1985, Analysis of progressive matrix cracking in composite laminates. I. Thermoelastic properties of crack with a ply, J. Compos. Mater., 216, 10.1177/002199838501900302 Voyiadjis, 1996, A coupled incremental damage and plasticity theory for metal matrix composites, J. Mech. Behavior Mater., 6, 193, 10.1515/JMBM.1996.6.3.193 Voyiadjis, 1995, An anisotropic yield surface model for directionally metal matrix composites, Int. J. Plasticity, 11, 867, 10.1016/S0749-6419(95)00035-6 Murakami, 1988, Mechanical modeling of material damage, J. Appl. Mech., 55, 280, 10.1115/1.3173673 Lao, 1985, An anisotropic damage criterion for deformation instability and its application to forming limit analysis of metal plates, Eng. Fract. Mech., 21, 1031, 10.1016/0013-7944(85)90008-6 Voyiadjis, 1996, A cyclic anisotropic-plasticity model for metal matrix composites, Int. J. Plasticity, 12, 69, 10.1016/S0749-6419(95)00045-3 Lemaitre, 1971, Evaluation of dissipation and damage in metals Sidoroff, 1981, Description of anisotropic damage application to elasticity, 237 Mroz, 1973, Mathematical models of inelastic material behavior, 120 Stumvoll, 1993, J. Engng. Mech., ASCE, 119, 1331, 10.1061/(ASCE)0733-9399(1993)119:7(1331) Voyiadjis, G.Z. and Deliktas, B. Damage in MMCs using the GCM: numerical implementation. To be submitted