Análise tridimensional de elementos estruturais de concreto armado via elementos finitos com descontinuidades incorporadas

Manzoli, O. L.; Oliver, J.; Diaz, G.; Huespe, A. E.

doi:10.1590/S1983-41952008000100004

Resumos

Apresenta-se uma metodologia para modelar elementos estruturais de concreto armado tridimensionais através de elementos finitos com descontinuidade incorporada no contexto da aproximação contínua de descontinuidades fortes. Utilizam-se conceitos de teoria de misturas para representar o concreto armado como um material composto de matriz (concreto) com feixes de fibras (barras de aço) longas em diferentes direções. O efeito das barras é proporcionado por modelos constitutivos fenomenológicos, desenvolvidos para reproduzir o comportamento axial não-linear, assim como efeitos provenientes de deslizamento por perda de aderência e ação de pino. O presente artigo foca os modelos constitutivos dos componentes e as condições de compatibilidade escolhidas para constituir o composto. Para ilustrar a aplicabilidade da metodologia proposta, apresentam-se análises numéricas de testes experimentais de elementos de concreto armado existentes.

elementos finitos; mecânica de fratura; descontinuidades fortes; teoria de misturas; fissuras incorporadas

This paper presents a methodology to model three-dimensional reinforced concrete members by means of embedded discontinuity elements based on the Continuous Strong Discontinuous Approach (CSDA). Mixture theory concepts are used to model reinforced concrete as a 3D composite material constituted of concrete with long fiber bundles (rebars) oriented in different directions embedded in it. The effects of the rebars are provided by phenomenological constitutive models designed to reproduce the axial non-linear behavior, as well as bond-slip and dowel action. This paper is focused on the constitutive models assumed for the components and the compatibility conditions chosen to constitute the composite. Numerical analyses of existing experimental reinforced concrete members are presented, illustrating the applicability of the methodology.

finite elements; fracture mechanics; strong discontinuities; mixture theory; embedded cracks

Análise tridimensional de elementos estruturais de concreto armado via elementos finitos com descontinuidades incorporadas

O. L. Manzoli^I; J. Oliver^II; G. Diaz^III; A. E. Huespe^IV

^IDepartamento de Engenharia Civil, Universidade Estadual Paulista, Bauru, SP, Brasil, e-mail: omanzoli@feb.unesp.br ^I^IUniversidad Politécnica de Cataluña (UPC), Barcelona, España, e-mail: oliver@cimne.ups.es ^I^I^IUniversidad Politécnica de Cataluña (UPC), Barcelona, España, e-mail: gdiaz@cimne.ups.es ^I^VCIMEC/Intec, Conicet, Santa Fe, Argentina, e-mail: ahuespe@intec.unl.edu.ar

RESUMO

Apresenta-se uma metodologia para modelar elementos estruturais de concreto armado tridimensionais através de elementos finitos com descontinuidade incorporada no contexto da aproximação contínua de descontinuidades fortes. Utilizam-se conceitos de teoria de misturas para representar o concreto armado como um material composto de matriz (concreto) com feixes de fibras (barras de aço) longas em diferentes direções. O efeito das barras é proporcionado por modelos constitutivos fenomenológicos, desenvolvidos para reproduzir o comportamento axial não-linear, assim como efeitos provenientes de deslizamento por perda de aderência e ação de pino. O presente artigo foca os modelos constitutivos dos componentes e as condições de compatibilidade escolhidas para constituir o composto. Para ilustrar a aplicabilidade da metodologia proposta, apresentam-se análises numéricas de testes experimentais de elementos de concreto armado existentes.

Palavras-chave: elementos finitos, mecânica de fratura, descontinuidades fortes, teoria de misturas, fissuras incorporadas.

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[01] Oliver, J., et al., Continuum approach to the numerical simulation of material failure in concrete. International Journal for Numerical and Analytical Methods in Geomechanics, 2004. 28(7-8): p. 609-632.
[02] Oliver, J. and A.E. Huespe, Continuum approach to material failure in strong discontinuity settings. Computer Methods in Applied Mechanics and Engineering, 2004. 193(30-32): p. 3195-3220.
[03] Trusdell, C. and R. Toupin, The classical field theories. Handbuch der Physik III/I 1960, Berlin: Springer Verlag.
[04] Linero, D.L., Un modelo de fallo material en el hormigón armado mediante la metodología de discontinuidades fuertes de continuo y la teoría de mezclas 2006, Universidad Politécnica de Cataluńa: Barcelona.
[05] Blanco, S., et al. Strong discontinuity modeling of material failure in large concrete structures: recente computational developments and applications In EURO-C 2006 Computational Modelling of Concrete Structures 2006. Tyrol (Austria): Balkema Publishers.
[06] Oliver, J., et al., Stability and robustness issues in numerical modeling of material failure in the Strong discontinuity approach. Comput. Methods Appl. Mech. Engng., 2006. 195: p. 7093-7114.
[07] Simo, J., J. Oliver, and F. Armero, An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Computational Mechanics, 1993. 12: p. 277-296.
[08] Oliver, J., Modelling strong discontinuities in solid mechanics via strain softening constitutive equations .1. Fundamentals. International Journal for Numerical Methods in Engineering, 1996. 39(21): p. 3575-3600.
[09] Oliver, J. and A.E. Huespe, Theoretical and computational issues in modelling material failure in strong discontinuity scenarios. Computer Methods in Applied Mechanics and Engineering, 2004. 193(27-29): p. 2987-3014.
[10] Oliver, J., M. Cervera, and O. Manzoli, Strong discontinuities and continuum plasticity models: the strong discontinuity approach. International Journal of Plasticity, 1999. 15(3): p. 319-351.
[11] Manzoli, O.L. and P.B. Shing, A general technique to embed non-uniform discontinuities into standard solid finite elements. Computers & Structures, 2006. 84(10-11): p. 742-757.
[12] Simo, J.C. and J.W. Ju, Stress and strain based continuum damage models: I formulation. International Journal Solids and Structures, 1987. 15: p. 821-840.
[13] Oliver, J., et al. Isotropic damage models and smeared crack analysis of concrete in Proc. SCI-C Computer Aided Analysis and Design of Concrete Structures 1990.
[14] Simo, J.C. and T.J.R. Hughes, Computational Inelasticity 1998: Springer.
[15] He, X.G. and A.K.H. Kwan, Modeling dowel action of reinforcement bars for finite element analysis of concrete structures. Computers & Structures, 2001. 79(6): p. 595-604.
[16] Deipoli, S., M. Diprisco, and P.G. Gambarova, Shear Response, Deformations, and Subgrade Stiffness of a Dowel Bar Embedded in Concrete. Aci Structural Journal, 1992. 89(6): p. 665-675.
[17] Ouyang, C., et al., Prediction of cracking response of reinforced concrete tensile members. Journal of Structural Engineering. ASCE, 1997. 123(1): p. 70 - 78.
[18] Ouyang, C. and P. Shah, Fracture energy approach for predicting cracking of reinforced concrete tensile members. ACI Structural Journal, 1994. 91(1): p. 69-78.
[19] Naaman, A., et al., Fiber pullout and bond slip II. Experimental validation. Journal of Structural Engineering ASCE, 1991. 117(9): p. 2791-2800.
[20] Mehmel, A. and W. Freitag, Tragfahigkeitsversuche an Stahlbetonkonsolen. Bauingenieur, 1967. 42: p. 362-369.
[21] Hartl, H., Development of a continuum-mechanicsbased toll for 3D finite element analysis of reinforced concrete structures and application to problems of soil-structure interaction 2002, Graz University of Technology: Graz.

Datas de Publicação

Publicação nesta coleção
19 Set 2014
Data do Fascículo
Mar 2008

This work is licensed under a Creative Commons Attribution 4.0 International License.

[1] [01] Oliver, J., et al., Continuum approach to the numerical simulation of material failure in concrete. International Journal for Numerical and Analytical Methods in Geomechanics, 2004. 28(7-8): p. 609-632.

[2] [02] Oliver, J. and A.E. Huespe, Continuum approach to material failure in strong discontinuity settings. Computer Methods in Applied Mechanics and Engineering, 2004. 193(30-32): p. 3195-3220.

[3] [03] Trusdell, C. and R. Toupin, The classical field theories. Handbuch der Physik III/I 1960, Berlin: Springer Verlag.

[4] [04] Linero, D.L., Un modelo de fallo material en el hormigón armado mediante la metodología de discontinuidades fuertes de continuo y la teoría de mezclas 2006, Universidad Politécnica de Cataluńa: Barcelona.

[5] [05] Blanco, S., et al. Strong discontinuity modeling of material failure in large concrete structures: recente computational developments and applications In EURO-C 2006 Computational Modelling of Concrete Structures 2006. Tyrol (Austria): Balkema Publishers.

[6] [06] Oliver, J., et al., Stability and robustness issues in numerical modeling of material failure in the Strong discontinuity approach. Comput. Methods Appl. Mech. Engng., 2006. 195: p. 7093-7114.

[7] [07] Simo, J., J. Oliver, and F. Armero, An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Computational Mechanics, 1993. 12: p. 277-296.

[8] [08] Oliver, J., Modelling strong discontinuities in solid mechanics via strain softening constitutive equations .1. Fundamentals. International Journal for Numerical Methods in Engineering, 1996. 39(21): p. 3575-3600.

[9] [09] Oliver, J. and A.E. Huespe, Theoretical and computational issues in modelling material failure in strong discontinuity scenarios. Computer Methods in Applied Mechanics and Engineering, 2004. 193(27-29): p. 2987-3014.

[10] [10] Oliver, J., M. Cervera, and O. Manzoli, Strong discontinuities and continuum plasticity models: the strong discontinuity approach. International Journal of Plasticity, 1999. 15(3): p. 319-351.

[11] [11] Manzoli, O.L. and P.B. Shing, A general technique to embed non-uniform discontinuities into standard solid finite elements. Computers & Structures, 2006. 84(10-11): p. 742-757.

[12] [12] Simo, J.C. and J.W. Ju, Stress and strain based continuum damage models: I formulation. International Journal Solids and Structures, 1987. 15: p. 821-840.

[13] [13] Oliver, J., et al. Isotropic damage models and smeared crack analysis of concrete in Proc. SCI-C Computer Aided Analysis and Design of Concrete Structures 1990.

[14] [14] Simo, J.C. and T.J.R. Hughes, Computational Inelasticity 1998: Springer.

[15] [15] He, X.G. and A.K.H. Kwan, Modeling dowel action of reinforcement bars for finite element analysis of concrete structures. Computers & Structures, 2001. 79(6): p. 595-604.

[16] [16] Deipoli, S., M. Diprisco, and P.G. Gambarova, Shear Response, Deformations, and Subgrade Stiffness of a Dowel Bar Embedded in Concrete. Aci Structural Journal, 1992. 89(6): p. 665-675.

[17] [17] Ouyang, C., et al., Prediction of cracking response of reinforced concrete tensile members. Journal of Structural Engineering. ASCE, 1997. 123(1): p. 70 - 78.

[18] [18] Ouyang, C. and P. Shah, Fracture energy approach for predicting cracking of reinforced concrete tensile members. ACI Structural Journal, 1994. 91(1): p. 69-78.

[19] [19] Naaman, A., et al., Fiber pullout and bond slip II. Experimental validation. Journal of Structural Engineering ASCE, 1991. 117(9): p. 2791-2800.

[20] [20] Mehmel, A. and W. Freitag, Tragfahigkeitsversuche an Stahlbetonkonsolen. Bauingenieur, 1967. 42: p. 362-369.

[21] [21] Hartl, H., Development of a continuum-mechanicsbased toll for 3D finite element analysis of reinforced concrete structures and application to problems of soil-structure interaction 2002, Graz University of Technology: Graz.