Damage based constitutive relationships in semi-crystalline polymer by using multi-mechanisms model

International Journal of Plasticity - Tập 51 - Trang 47-64 - 2013
Henri-Alexandre Cayzac1, Kacem Saï2, Lucien Laiarinandrasana1
1MINES ParisTech, Centre des Matériaux, CNRS UMR7633, BP 87, 91003 Evry Cedex, France
2UGPMM, Ecole Nationale d’Ingénieurs de Sfax, BP 1173 Sfax, Tunisia

Tài liệu tham khảo

Ahzi, 1994, Plasticity and anisotropy evolution in crystalline polymers, Mater. Sci. Eng. A, 189, 35, 10.1016/0921-5093(94)90399-9 Ayoub, 2011, Effects of crystal content on the mechanical behavior of polyethylene under finite strains: experiments and constitutive modelling, Int. J. Plast., 27, 492, 10.1016/j.ijplas.2010.07.005 Bédoui, 2006, Micromechanical modeling of isotropic elastic behavior of semicrystalline polymers, Acta Mater., 54, 1513, 10.1016/j.actamat.2005.11.028 Beremin, 1980, Calculs élastoplastiques par la méthode des éléments finis d’éprouvettes axisymétriques entaillées circulairement, J. Méc. Appl., 4, 307 Berveiller, 1979, An extension of the self-consistent scheme to plastically-following polycrystals, J. Mech. Phys. Solids, 26, 325, 10.1016/0022-5096(78)90003-0 Besson, 2009, Damage of ductile materials deforming under multiple plastic or viscoplastic mechanisms, Int. J. Plast., 25, 2204, 10.1016/j.ijplas.2009.03.001 Besson, 1997, Large scale object-oriented finite element code design, Comput. Methods Appl. Mech. Eng., 142, 165, 10.1016/S0045-7825(96)01124-3 Besson, 2003, An extension of the green and gurson models to kinematic hardening, Mech. Mater., 35, 1, 10.1016/S0167-6636(02)00169-2 Boisot, G., 2009. Mécanismes et modélisation mécanique de la déformation, de l’endommagement et de la rupture du PolyAmide 11 pur et renforce choc. PhD thesis, Ecole des Mines de Paris (in French). Boisot, 2011, Experimental investigations and modeling of volume change induced by void growth in polyamide 11, Int. J. Solids Struct., 48, 2642, 10.1016/j.ijsolstr.2011.05.016 Bridgman, 1944, The stress distribution at the neck of a tension specimen, Trans. ASME, 32, 553 Cailletaud, 1994, Utilisation de modèles polycristallins pour le calcul par éléments finis, Rev. Eur. EF, 3, 515 Cailletaud, 1995, Study of plastic/viscoplastic models with various inelastic mechanisms, Int. J. Plast., 11, 991, 10.1016/S0749-6419(95)00040-2 Challier, 2006, Damage and fracture of polyvinylidene fluoride (PVDF) at 20°C: experiments and modelling, Eng. Fract. Mech., 73, 79, 10.1016/j.engfracmech.2005.06.007 Colak, 2005, Modeling deformation behavior of polymers with viscoplasticity theory based on overstress, Int. J. Plast., 21, 145, 10.1016/j.ijplas.2004.04.004 Colak, 2005, Modeling of the monotonic and cyclic swift effects using an isotropic, finite viscoplasticity theory based on overstress (FVBO), Int. J. Plast., 21, 573, 10.1016/j.ijplas.2004.04.010 Diani, 2008, On the relevance of the micromechanics approach for predicting the linear viscoelastic behavior of semi-crystalline poly(ethylene)terephtalates (PET), Mater. Sci. Eng. A, 475, 229, 10.1016/j.msea.2007.05.002 Dusunceli, 2007, Modelling the effects of degree of crystallinity on mechanical behavior of semicrystalline polymers, Int. J. Plast., 24, 1224, 10.1016/j.ijplas.2007.09.003 Gautier, E., Cailletaud, C., 2004. N-phase modeling applied to phase transformations in steels: a coupled kinetics-mechanics approach. In: ICHMM-2004 International Conference on Heterogeneous Material Mechanics, Chongqing, Chine. Ghorbel, 2008, A viscoplastic constitutive model for polymeric materials, Int. J. Plast., 24, 2032, 10.1016/j.ijplas.2008.01.003 G’sell, 1994, Evolution of microstructure in semi-crystalline polymers under large plastic deformation, Mater. Sci. Eng. A, 175, 183, 10.1016/0921-5093(94)91058-8 Gueguen, 2008, Micromechanically based formulation of the cooperative model for the yield behavior of semi-crystalline polymers, Acta Mater., 56, 1650, 10.1016/j.actamat.2007.12.015 Gurson, 1977, Continuum theory of ductile rupture by void nucleation and growth. Part 1: Yield criteria and flow rules for porous ductile media, J. Eng. Mater. Technol., 99, 2, 10.1115/1.3443401 Hamouda, 2007, Viscoplastic behavior of a medium density polyethylene (mdpe): constitutive equations based on double nonlinear deformation model, Int. J. Plast., 23, 1307, 10.1016/j.ijplas.2006.11.007 Hill, 1965, Continuum micro-mechanisms of elastoplastic polycrystals, J. Mech. Phys. Solids, 13, 9, 10.1016/0022-5096(65)90023-2 Khan, 2006, Thermo-mechanical large deformation response and constitutive modeling of viscoelastic polymers over a wide range of strain rates and temperatures, Int. J. Plast., 22, 581, 10.1016/j.ijplas.2005.08.001 Kichenin, J., 1992. Comportement thermomécanique du polyéthylène. PhD thesis (in French). Krempl, 2002, Extension of the viscoplasticity theory based on overstress (vbo) to capture non-standard rate dependence in solids, Int. J. Plast., 18, 851, 10.1016/S0749-6419(01)00011-0 Krempl, 2003, Rate (time)-dependent deformation behavior: an overview of some properties of metals and solid polymers, Int. J. Plast., 19, 1069, 10.1016/S0749-6419(03)00002-0 Ladeveze, 1999 Lai, 2005, A non-linear viscoelastic model developed for semi-crystalline polymer deformed at small strains with loading and unloading paths, Mater. Sci. Eng. A, 405, 266, 10.1016/j.msea.2005.06.011 Laiarinandrasana, 2009, Temperature dependant mechanical behaviour of pvdf: experiments and numerical modelling, Int. J. Plast., 25, 1301, 10.1016/j.ijplas.2008.09.008 Laiarinandrasana, 2009, Accounting for porosity, time and temperature dependency in fracture mechanics concepts on polyvinylidene fluoride material, Eng. Fract. Mech., 76, 2766, 10.1016/j.engfracmech.2009.06.003 Laiarinandrasana, 2012, Effect of multiaxial stress state on morphology and spatial distribution of voids in deformed semicrystalline polymer assessed by x-ray tomography, Macromolecules, 45, 4658, 10.1021/ma3005247 Laiarinandrasana, 2010, Damage of semicrystalline polyamide 6 assessed by 3D X-ray tomography: from microstructural evolution to constitutive modeling, J. Polym. Sci. Pol. Phys., 48, 1516, 10.1002/polb.22043 Lee, 1993, Micromechanical modeling of large plastic deformation and texture evolution in semi-crystalline polymers, J. Mech. Phys. Solids, 41, 1651, 10.1016/0022-5096(93)90018-B Li, 2012, A viscoplastic theory of shape memory polymer fibres with application to self-healing materials, Proc. R. Soc. A: Math. Phys. Eng. Sci., 468, 2319, 10.1098/rspa.2011.0628 Molinari, 1999, Extensions of the self-consistent tangent model, Model. Simul. Mater. Sci. Eng., 7, 683, 10.1088/0965-0393/7/5/303 Nikolov, 2000, A micro/macro constitutive model for the small-deformation behavior of polyethylene, Polymer, 41, 1883, 10.1016/S0032-3861(99)00330-4 Nikolov, 2002, Multi-scale constitutive modeling for the small deformations of semi-crystalline polymers, J. Mech. Phys. Solids, 50, 2275, 10.1016/S0022-5096(02)00036-4 Pawlak, 2008, Cavitation during tensile deformation of polypropylene, Macromolecules, 41, 2839, 10.1021/ma0715122 Pawlak, 2010, Cavitation and morphological changes in polypropylene deformed at elevated temperatures, J. Polym. Sci. Part B: Polym. Phys., 48, 1271, 10.1002/polb.22020 Ponçot, 2013, True intrinsic mechanical behaviour of semi-crystalline and amorphous polymers: influences of volume deformation and cavities shape, Int. J. Plast., 40, 126, 10.1016/j.ijplas.2012.07.007 Regrain, 2009, Experimental and numerical study of creep and creep rupture behavior of pa6, Eng. Fract. Mech., 76, 2656, 10.1016/j.engfracmech.2009.04.016 Regrain, 2009, Multi-mechanism models for semi-crystalline polymer: constitutive relations and finite element implementation, Int. J. Plast., 25, 1253, 10.1016/j.ijplas.2008.09.010 Rozanski, 2013, Plastic yielding of semicrystalline polymers affected by amorphous phase, Int. J. Plast., 41, 14, 10.1016/j.ijplas.2012.07.008 Saï, 2011, Multi-mechanism models: present state and future trends, Int. J. Plast., 27, 250, 10.1016/j.ijplas.2010.05.003 Saï, 2004, Physical basis for model with various inelastic mechanisms for nickel base superalloy, Mater. Sci. Tech., 20, 747, 10.1179/026708304225017201 Saï, 2007, Multi-mechanism models for the description of ratchetting: effect of the scale transition ruleand of the coupling between hardening variables, Int. J. Plast., 23, 1589, 10.1016/j.ijplas.2007.01.011 Saï, 2011, Multi-mechanism damage-plasticity model for semi-crystalline polymer: creep damage of notched specimen of {PA6}, Mater. Sci. Eng.: A, 528, 1087, 10.1016/j.msea.2010.09.071 Schirrer, 1996, Volume change and light scattering during mechanical damage in polymethylmethacrylate toughened with core-shell rubber particules, J. Mater. Sci., 31, 6409, 10.1007/BF00356243 Shojaei, 2013, Viscoplasticity analysis of semicrystalline polymers: a multiscale approach within micromechanics framework, Int. J. Plast., 42, 31, 10.1016/j.ijplas.2012.09.014 Shojaei, 2013, Cyclic viscoplastic-viscodamage analysis off shape memory polymers fibers with application to self-healing smart materials, J. Appl. Mech., 80, 11, 10.1115/1.4007140 Tvergaard, 1982, On localization in ductile materials containing spherical voids, Int. J. Fract., 18, 237, 10.1007/BF00015686 Tvergaard, 1984, Analysis of the cupcone fracture in a round tensile bar, Acta Methods Mater., 32, 157, 10.1016/0001-6160(84)90213-X Uchida, 2011, Sequential evaluation of continuous deformation field of semi-crystalline polymers during tensile deformation accompanied by neck propagation, Int. J. Plast., 27, 2085, 10.1016/j.ijplas.2011.07.009 Voyiadjis, 2011, A thermodynamic consistent damage and healing model for self healing materials, Int. J. Plast., 27, 1025, 10.1016/j.ijplas.2010.11.002 Voyiadjis, 2012, A generalized coupled viscoplastic-viscodamage-viscohealing theory for glassy polymers, Int. J. Plast., 28, 21, 10.1016/j.ijplas.2011.05.012