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Abstrakty
The paper presents FE-results on the behaviour of concrete under plane strain conditions. The material was modelled using a simple isotropic damage continuum model. The model was enriched by non-local terms to avoid a pathological mesh-sensitivity and to obtain a well-posed rate boundary value problem. The constitutive model was used to simulate localization of deformation in 3 benchmark problems: a double-edge notched specimen under uniaxial tension and a notched beam under three- and four-point bending. Attention was laid on the effect of a characteristic length on the load-displacement curves and strain localization. The FE-results were compared with experiments and other numerical studies.
Słowa kluczowe
Rocznik
Tom
Strony
243--263
Opis fizyczny
Bibliogr. 80 poz., il.
Twórcy
autor
- University of Technology Faculty of Civil and Environmental Engineering, 80-952 Gdańsk, ul. Narutowicza 11/12, Poland
autor
- University of Technology Faculty of Civil and Environmental Engineering, 80-952 Gdańsk, ul. Narutowicza 11/12, Poland
Bibliografia
- Abaqus 6.1 Manuals ( 2001), Hibbitt, Karlsson and Sorensen Inc.
- Akkermann J. (2000), Rotationsverhalten von Stahlbeton-Rahmenecken, Dissertation, Universität Fridericiana zu Karlsruhe, Karlsruhe.
- Askes H., Sluys L. J. (2003), A classification of higher-order strain gradient models in damage mechanics, Arch. Appl. Mech., 53 (5–6), 448–465.
- Bazant Z. P. (1984), Size effect in blunt fracture: Concrete, rock, metal, J. Engng. Mech., 111, 518–535.
- Bazant Z. P. (1986), Mechanics of distributed cracking, Appl. Mech. Rev., 26, 675–705.
- Bazant Z. P., Cedolin L. (1979), Blunt crackband propagation in finite rlement analysis, J. Engng. Mech. Div. ASCE, 105 (2), 297–315.
- Bazant Z. P., Lin F. (1988), Non-local yield limit degradation, Int. J. Num. Meth. Engng, 35, 1805–1823.
- Bazant Z., Pijaudier-Cabot G. (1989), Measurement of the characteristic length of nonlocal models, J. Engng. Mech. ASCE, 115, 755–767.
- Bazant Z., Ozbolt J. (1990), Non-Local microplane model for fracture, damage and size effect in structures, J. Engng. Mech. ASCE, 116, 2485–2505.
- Bazant Z. P., Jirasek M. (2002), Nonlocal integral formulations of plasticity and damage: Survey of progress, J. Engng. Mech., 128, 11, 1119–1149.
- Bobinski J., Tejchman J. (2004), Numerical simulations of localization of deformation in quasi-brittle materials within non-local softening plasticity, Computers and Concrete, 4, 433–455.
- Bobinski J., Kozicki J., Tejchman J. (2005),Modelling of localization of deformation in quasi-brittle materials with a continuum and discrete model, Proc. Int. Conference on Powders and Grains, 18–22.07.2005, Stuttgart, Germany, 1441–1445 .
- de Borst R. (1986), Non-Linear Analysis of Frictional Materials, PhD Thesis, Delft University of Technology.
- de Borst R., Pamin J., Geers M. (1999), On coupled gradient-dependent plasticity and damage theories with a view to localization analysis, Eur. J. Mech. A/Solids, 18, 6, 939–962.
- Brinkgreve R. (1994), Geomaterial Models and Numerical Analysis of Softening, Dissertation, Delft University of Technology.
- Chen E. P. (1999), Non-local effects on dynamic damage accumulation in brittle solids, I. J. Num. Anal. Meth. Geomech., 23, 1–21.
- Chen J., Yuan H., Kalkhof D. (2001), A nonlocal damage model for elastoplastic materials based on gradient plasticity theory, Report No. 01–13, Paul Scherrer Institut, 1–130.
- Donze F. V., Magnier S. A., Daudeville L., Mariotti C., Davenne L. (1999), Numerical study of compressive behaviour of concrete at high strain rates, J. Engineering Mechanics, 1154–1163.
- Dragon A., Mróz Z. (1979), A Continuum model for plastic-brittle behaviour of rock and concrete, Int. J. Eng. Science, 17, 121–137.
- Ehlers W., Graf T. (2003), Adaptive Computation of Localization Phenomena in Geotechnical Applications, [in:] Bifurcations and Instabilities in Geomechanics (eds. J. Labuz and A. Drescher), Swets and Zeitlinger, 247–262.
- Geers M., Peijs, T., Brekelmans W., de Borst R. (1996), Experimental monitoring of strain localization and failure behaviour of composite materials, Compos. Sci. Technol., 56, 1283–1290.
- GeersM., de Borst R., BrekelmansW., Peerlings R. (1998), Strain-based transient-gradient damage model for failure analyses, Comparative Methods in Applied Mechanics and Engineering, 160, 1–2, 133–154.
- Herrmann H. J., Hansen A., Roux S. (1989), Fracture of disordered elastic lattices in two dimensions, Physical Rev. B, 39, 637–647.
- Hilleborg A. (1989), The theoretical basis of a method to determine the fracture energy of concrete, Materials and Structures, 18, 291–296.
- Hordijk D. A. (1991), Local Approach to Fatigue of Concrete, Ph. D. dissertation, Delft University of Technology.
- Hughes T. J. R., Winget J. (1980), Finite rotation effects in numerical integration of rate constitutive equations arising in large deformation analysis, Int. J. for Numerical Methods in Engineering, 15, 1862–1867.
- Ibrahimbegovic A., Markovic D., Gatuingt F. (2003), Constitutive model of coupled damage-plasticity and its finite element implementatation, Eur. J. Finite Elem., 12 (4), 381–405.
- Jirasek M. (1999), Comments on Microplane Theory, [in:] Mechanics of Quasi-Brittle Materials and Structures (eds. G. Pijaudier-Cabot, Z. Bittnar and B. Gerard), Hermes Science Publications, 55–77.
- Jirasek M. (2004), Non-Local Damage Mechanics with Application to Concrete, [in:] Failure, Degradation and Instabilities in Geomaterials (eds. I. Vardoulakis and P. Mira), Lavoisier, 683–709.
- Jirasek M., Rolshoven S. (2003), Comparison of integral-type nonlocal plasticity models for strain-softening materials, Int. J. Engineering Science, 41, 1553–1602.
- Jirasek M., Rolshoven, S., Grassl P. (2004), Size effect on fracture energy induced by non-locality, Int. J. for Numerical and Analytical Methods in Geomechanics, 28, 653–670.
- Kaczanov L. M. (1958), Time of the rupture process under creep conditions, Isv. Akad. Nauk SSSR, Otd. Tekh. Nauk, 8, 26–31.
- Klisiński M., Mróz Z. (1988), Description of Unelastic Deformations and Damage for Concrete (in Polish), Monography, 193, Technical University of Poznan.
- Kormeling H. A., Reinhardt H. W. (1983), Determination of the Fracture Energy of Normal Concrete and Epoxy Modified Concrete, Report 5-83-18, Delft University of Technology.
- Krajcinovic D., Fonseka G. U. (1981), The continuous damage theory of brittle materials, J. Applied Mechanics ASME, 48, 809–824.
- Kuhl E., Ramm E. (2000), Simulation of strain localization with gradient enhanced damage models, Computational Material Sciences, 16, 176–185.
- Lade P. V., Jakobsen K. P. (2002), Incrementalization of a single hardening constitutive model for frictional materials, Int. J. Numer. Anal. Methods in Geomech., 26, 647–659.
- Le Bellego C., Dube J. F., Pijaudier-Cabot G., Gerard B. (2003), Calibration of nonlocal damage model from size effect tests, E. J. Mechanics A/Solids, 22, 33–46.
- Lemaitre J. (1985), Coupled elasto-plasticity and damage constitutive equations, Computer Methods Appl. Mech. Eng., 51, 31–49.
- Loret B., Prevost J. H. (1990), Dynamic strain localization in elasto-visco-plastic solids, Part 1. General formulation and one-dimensional examples, Comp. Appl. Mech. Eng., 83, 247–273.
- Mahnken R., Kuhl E. (1999), Parameter identification of gradient enhanced damage models, Eur. J. Mech. A/Solids, 18, 819–835.
- Maier T. (2002), Numerische Modellierung der Entfestigung im Rahmen der Hypoplastizit¨at, PhD Thesis, University of Dortmund.
- Maier T. (2003), Nonlocal modelling of softening in hypoplasticity, Comput. Geotech., 30 (7), 599–610.
- Marcher T., Vermeer P. A. (2001), Macro-Modelling of Softening in Non-Cohesive Soils, [in:] Continuous and Discontinuous Modelling of Cohesive-Frictional Materials, (eds. P. A. Vermeer et al.), Springer-Verlag, 89–110.
- Mazars J., Pijaudier-Cabot G. (1989), Continuum damage theory – applications to concrete, J. Engng. Mech., 115, 345–365.
- Meftah F., Reynouard J. M. (1998), A multilayered mixed beam element on gradient plasticity for the analysis of localized failure modes, Mechanics of Cohesive-Frictional Materials, 3, 305–322.
- Menetrey Ph., Willam K. J. (1995), Triaxial failure criterion for concrete and its generalization, ACI Structural Journal, 311–318.
- Mühlhaus H.-B. (1986), Scherfugenanalyse bei Granularen Material im Rahmen der Cosserat-Theorie, Ingen. Archiv, 56, 389–399.
- Mühlhaus H.-B., Aifantis E. C. (1991), A variational principle for gradient plasticity, Int. J. Solids Structures, 28, 845–858.
- Neddleman A. (1988), Material rate dependence and mesh sensitivity in localization problems, Comp. Meths. Appl. Mech. Eng., 67, 69–85.
- Ozbolt J. (1995), Maßstabseffekt und Duktulität von Beton- und Stahlbetonkonstruktionen, Habilitation, Universität Stuttgart.
- Pamin J. (2004), Gradient-Enchanced Continuum Models: Formulation, Discretization and Applications, Habilitation, Cracow University of Technology, Cracow.
- Pamin J., de Borst R. (1998), Simulation of crack spacing using a reinforced concrete model with an internal length parameter, Arch. App. Mech., 68 (9), 613–625.
- Pamin J., de Borst R. (1999), Stiffness degradation in fradient-dependent coupled damage-plasticity, Arch. Mech., 51, 3–4, 419–446.
- Peerlings R. H. J., de Borst R., Brekelmans W. A. M., Geers M. G. D. (1998), Gradient enhanced damage modelling of concrete fracture, Mech. Cohes.-Friction. Mater., 3, 323–342.
- Pietruszczak S., Jiang J., Mirza F. A. (1988), An elastoplastic constitutve model for concrete, Int. J. Solids Structures, 24 (7), 705–722.
- Pijaudier-Cabot G., Bazant Z. P. (1987), Nonlocal damage theory, ASCE J. Eng. Mech., 113, 1512–1533.
- Pijaudier-Cabot G., Haidar K., Loukili A., Omar M. (2004a), Ageing and Durability of Concrete Structures, [in:] Degradation and Instabilities in Geomaterials (eds. F. Darve and I. Vardoulakis), Springer Verlag.
- Pijaudier-Cabot G., Haidar K., Dube J. F. (2004b), Non-local damage model with evolving internal length, Int. J. Num. and Anal. Meths. in Geomech., 28, 633–652.
- Place D., Mora P. (2001), A Random Lattice Solid Model for Simulation of Fault Zone Dynamics and Fracture Processes, [in:] Bifurcation and Localisation Theory in Geomechanics (ed. H.-B. Mühlhaus et al.), A. A. Balkema, Rotterdam/Brookfield, 321–333.
- Polizzotto C., Borino G., Fuschi P. (1998), A thermodynamic consistent formulation of nonlocal and gradient plasticity, Mech. Res. Commun., 25, 75–82.
- di Prisco M., Mazars J. (1996), Crush-crack – a non-local damage model for concrete, Mechanics of Cohesive-Frictional Materials, 1, 321–347.
- di Prisco C., Imposimato S., Aifantis E. C. (2002), A visco-plastic constitutive model for granular soils modified according to non-local and gradient approaches, Int. J. Numer. Anal. Meth. Geomech., 26, 121–138.
- Ragueneau F., Borderie Ch.,Mazars J. (2000), Damage model for concrete-Like materials coupling cracking and friction, Int. J. Num. Anal. Meth. Geomech., 5, 607–625.
- Regueiro R. A., Borja R. I. (2001), Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity, Int. J. Solids and Structures, 38, 21, 3647–3672.
- Sakaguchi H., Mühlhaus H. B. (1997), Mesh Free Modelling of Failure and Localisation in Brittle Materials, [in:] Deformation and Progressive Failure in Geomechanics (eds. A. Asaoka, T. Adachi and F. Oka), 15–21.
- Simone A., Wells G. N., Sluys L. J. (2002), Discontinuous modelling of crack propagation in a gradient enhanced continuum, Proc. of the fifth World Congress on Computational Mechanics WCCM V, Vienna, CDROM.
- Simone A., Sluys L. (2004), Continous-Discontinous Modeling of Mode-I and Mode-II Failure, [in:] Modelling of Cohesive-Frictional Materials (eds. P.A. Vermeer, W. Ehlers, H. J. Herrmann and E. Ramm), Balkema, 323–337.
- Sluys L. J. (1992),Wave Propagation, Localization and Dispersion in Softening Solids,Dissertation, Delft University of Technology.
- Sluys L. J., de Borst R. (1994), Dispersive Properties of Gradient and Rate-Dependent Media, Mech. Mater., 183, 131–149.
- Strömberg L., Ristinmaa M. (1996), FE-Formulation of monlocal plasticity theory, Comput. Methods Appl. Mech. Engng., 136, 127–144.
- Tejchman J. (2004), Influence of a characteristic length on shear zone formation in hypoplasticity with different enhancements, Computers and Geotechnics, 31, 8, 595–611.
- Tejchman J.,Wu W. (1993), Numerical study on patterning of shear bands in a cosserat continuum, Acta Mechanica, 99, 61–74.
- Tejchman J., Herle I., Wehr J. (1999), FE-Studies on the influence of initial void ratio, pressure level and mean grain diameter on shear localization, Int. J. for Numerical and Analitycal Methods in Geomechanics, 23, 2045–2074.
- Vermeer P. A., Vogler U., Septanika E. G., Stelzer O. (2004), A Strong Discontinuity Method without Locking, [in:] Modelling of Cohesive-Frictional Materials (eds. P. A. Vermeer, W. Ehlers, H. J. Herrmann and E. Ramm), Balkema, 381–394.
- Vervuurt A., van Mier J. G. M., Schlangen E. (1994), Lattice Model for Analyzing Steel-Concrete Interactions, [in:] Comp. Methods and Advances in Geomechanics (eds. Siriwardane and Zaman), Balkema, Rotterdam, 713–18.
- de Vree J. H. P., Brekelmans W. A. M., van Gils M. A. J. (1995), Comparison of nonlocal approaches in continuum damage mechanics, Comput. Struct., 55, 581–588.
- Willam K. J., Warnke E. P. (1975), Constitutive model for the triaxial behaviour of concrete, IABSE Seminar on concrete structures subjected to triaxial stress, Bergamo, Italy, 1–31.
- Zbib H. M., Aifantis C. E. (1989), A gradient dependent flow theory of plasticity: Application to metal and soil instabilities, Appl. Mech. Reviews, 42 (11), 295–304.
- Zhou W., Zhao J., Liu Y., Yang Q. (2002), Simulation of localization failure with strain-Gradient--Enhanced Damage Mechnics, Int. J. Numer. Anal. Meth. Geomech., 26, 793–813.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0034-0062