A strain-rate dependent micromechanical constitutive model for glass/epoxy composites

Powers, 1997, High strain rate properties of Cycom 5920/1583, AIAA J, 35, 553, 10.2514/2.131 Shokrieh, 2009, Tension behavior of unidirectional glass/epoxy composites under different strain rates, Compos Struct, 88, 595, 10.1016/j.compstruct.2008.06.012 Shokrieh, 2011, Investigating the transverse behavior of glass–epoxy composites under intermediate strain rates, Compos Struct, 93, 690, 10.1016/j.compstruct.2010.08.010 Shokrieh, 2009, Investigation of strain rate effects on in-plane shear properties of glass/epoxy composites, Compos Struct, 91, 95, 10.1016/j.compstruct.2009.04.035 Shokrieh, 2009, Compressive response of glass–fiber reinforced polymeric composites to increasing compressive strain rates, Compos Struct, 89, 517, 10.1016/j.compstruct.2008.11.006 Rotem A, Lifshitz J. Longitudinal strength of unidirectional fibrous composite under high rate of loading. In: Proceedings of the 26th annual technical conference, society for plastics industry, reinforced plastics/composites division; 1971. p. 1–10. Okoli, 2001, The effects of strain rate and failure modes on the failure energy of fiber reinforced composites, Compos Struct, 54, 299, 10.1016/S0263-8223(01)00101-5 Okoli, 1995, Overcoming inertial problems in the high strain rate testing of a glass/epoxy composite, vol. 2, 2998 Okoli, 1998, Failure modes of fibre reinforced composites: the effects of strain rate and fibre content, J Mater Sci, 33, 5415, 10.1023/A:1004406618845 Armenàkas, 1973, Response of glass–fiber-reinforced epoxy specimens to high rates of tensile loading, Exp Mech, 13, 433, 10.1007/BF02324887 Harding, 1983, A tensile testing technique for fibre-reinforced composites at impact rates of strain, J Mater Sci, 18, 1810, 10.1007/BF00542078 Bai, 2000, Tensile properties of rigid glass bead/HDPE composites, Polym Polym Compos, 8, 413 Barré, 1996, Comparative study of strain rate effects on mechanical properties of glass fibre-reinforced thermoset matrix composite, Compos Part A Appl Sci Manuf, 27, 1169, 10.1016/1359-835X(96)00075-9 Daniel, 1981, New method for testing composites at very high strain rates, Exp Mech, 21, 71, 10.1007/BF02325199 Hsiao, 1999, Strain rate effects on the transverse compressive and shear behavior of unidirectional composites, J Compos Mater, 33, 1620, 10.1177/002199839903301703 Papadakis, 2004, Strain rate effects on the shear mechanical properties of a highly oriented thermoplastic composite material using a contacting displacement measurement methodology – part A: elasticity and shear strength, Compos Sci Technol, 64, 729, 10.1016/j.compscitech.2003.08.001 Daniel IM, Liber T. Strain rate effects on mechanical properties of fiber composites. NASA-Lewis Research Center; 1976. p. 31. Huang, 2012 Tabiei, 2009, A strain-rate dependent micro-mechanical model with progressive post-failure behavior for predicting impact response of unidirectional composite laminates, Compos Struct, 88, 65, 10.1016/j.compstruct.2008.02.017 Tabiei, 2007, Micro-mechanical model with strain-rate dependency and damage for impact simulation of woven fabric composites, Mech Adv Mater Struct, 14, 365, 10.1080/15376490601084624 Tabiei, 2009, A strain-rate dependent micro-mechanical model with progressive post-failure behavior for predicting impact response of unidirectional composite laminates, Compos Struct, 88, 65, 10.1016/j.compstruct.2008.02.017 Tabiei, 2005, Non-linear strain rate dependent micro-mechanical composite material model for finite element impact and crashworthiness simulation, Int J Non Linear Mech, 40, 957, 10.1016/j.ijnonlinmec.2004.10.004 Goldberg, 1999 Tabiei, 2005, Non-linear strain rate dependent micro-mechanical composite material model for finite element impact and crashworthiness simulation, Int J Non Linear Mech, 40, 957, 10.1016/j.ijnonlinmec.2004.10.004 Goldberg, 2005, Implementation of an associative flow rule including hydrostatic stress effects into the high strain rate deformation analysis of polymer matrix composites, J Aerosp Eng, 18, 18, 10.1061/(ASCE)0893-1321(2005)18:1(18) Koyanagi, 2014, Numerical simulation of strain-rate dependent transition of transverse tensile failure mode in fiber-reinforced composites, Compos Part A Appl Sci Manuf, 56, 136, 10.1016/j.compositesa.2013.10.002 Jacob, 2004, Strain rate effects on the mechanical properties of polymer composite materials, J Appl Polym Sci, 94, 296, 10.1002/app.20901 Huang, 2001, Simulation of the mechanical properties of fibrous composites by the bridging micromechanics model, Compos Part A Appl Sci Manuf, 32, 143, 10.1016/S1359-835X(00)00142-1 Huang, 1999, Micromechanical strength formulae of unidirectional composites, Mater Lett, 40, 164, 10.1016/S0167-577X(99)00069-5 Huang, 2000, A unified micromechanical model for the mechanical properties of two constituent composite materials. Part I: elastic behavior, J Thermoplast Compos Mater, 13, 252, 10.1177/089270570001300401 Koyanagi, 2009, Comparison of a viscoelastic frictional interface theory with a kinetic crack growth theory in unidirectional composites, Compos Sci Technol, 69, 2158, 10.1016/j.compscitech.2009.05.013 Jones, 1998 Schapery, 1997, Nonlinear viscoelastic and viscoplastic constitutive equations based on thermodynamics, Mech Time-Dependent Mater, 1, 209, 10.1023/A:1009767812821 Plaseied, 2007, Deformation response and constitutive modeling of vinyl ester polymer including strain rate and temperature effects, J Mater Sci, 43, 1191, 10.1007/s10853-007-2297-z Tervoort, 1998, A constitutive equation for the elasto-viscoplastic deformation of glassy polymers, Mech Time-Dependent Mater, 1, 269, 10.1023/A:1009720708029 Goldberg, 2005, Implementation of an associative flow rule including hydrostatic stress effects into the high strain rate deformation analysis of polymer matrix composites, J Aerosp Eng, 18, 18, 10.1061/(ASCE)0893-1321(2005)18:1(18) Littell, 2008, and shear stress–strain curves over a wide range of strain rates using small test specimens, J Aerosp Eng, 21, 162, 10.1061/(ASCE)0893-1321(2008)21:3(162) Gilat, 2002, Experimental study of strain-rate-dependent behavior of carbon/epoxy composite, Compos Sci Technol, 62, 1469, 10.1016/S0266-3538(02)00100-8 Goldberg RK, Stouffer DC. High strain rate deformation modeling of a polymer matrix composite. NASA Lewis Research Center; 1998. p. 38. Hasan, 1995, A constitutive model for the nonlinear viscoelastic viscoplastic behavior of glassy polymers, Polym Eng Sci, 35, 331, 10.1002/pen.760350407 Okoli, 2000, The effect of strain rate and fibre content on the Poisson’s ratio of glass/epoxy composites, Compos Struct, 48, 157, 10.1016/S0263-8223(99)00089-6 Chamis CC. Simplified composite micromechanics for predicting microstresses. NASA Lewis Research Center; 1986. p. 24. Hill, 1965, A self-consistent mechanics of composite materials, J Mech Phys Solids, 13, 213, 10.1016/0022-5096(65)90010-4 Hashin, 1963, A variational approach to the theory of the elastic behaviour of multiphase materials, J Mech Phys Solids, 11, 127, 10.1016/0022-5096(63)90060-7 Hashin, 1983, Analysis of composite materials – a survey, J Appl Mech, 50, 481, 10.1115/1.3167081 Wang, 1992, The influence of inclusion shape on the overall viscoelastic behavior of composites, J Appl Mech, 59, 510, 10.1115/1.2893753 Stehlin, 1972, Strain distribution in and around strain gauges, J Strain Anal Eng Des, 7, 228, 10.1243/03093247V073228 Zheng, 2008, Rate-dependent shell element composite material model implementation in LS-DYNA, J Aerosp Eng, 21, 140, 10.1061/(ASCE)0893-1321(2008)21:3(140) Gilat, 2007, Strain rate sensitivity of epoxy resin in tensile and shear loading, J Aerosp Eng, 20, 75, 10.1061/(ASCE)0893-1321(2007)20:2(75)