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Volumn 139, Issue 12, 2013, Pages 1714-1723

Microplane model M7 for plain concrete. I: Formulation

Author keywords

Concrete; Constitutive modeling; Cracking damage; Inelastic behavior; Numerical algorithm; Softening; Thermodynamic potentials; Unloading; Yield limits

Indexed keywords

CRACKING DAMAGE; INELASTIC BEHAVIOR; NUMERICAL ALGORITHMS; SOFTENING; THERMODYNAMIC POTENTIALS; YIELD LIMIT;

EID: 84888068077     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)EM.1943-7889.0000570     Document Type: Article
Times cited : (171)

References (39)
  • 1
    • 1842861025 scopus 로고
    • Strain localization in ductile single crystals
    • Asaro, R. J., and Rice, J. R. (1977). "Strain localization in ductile single crystals." J. Mech. Phys. Solids, 25(5), 309-338.
    • (1977) J. Mech. Phys. Solids , vol.25 , Issue.5 , pp. 309-338
    • Asaro, R.J.1    Rice, J.R.2
  • 2
    • 0003464758 scopus 로고
    • A mathematical theory of plasticity based on the concept of slip
    • NACA Technical Note 1871, National Advisory Committee for Aeronautics, Washington, DC
    • Batdorf, S., and Budianski, B. (1949). "A mathematical theory of plasticity based on the concept of slip." NACA Technical Note 1871, National Advisory Committee for Aeronautics, Washington, DC.
    • (1949)
    • Batdorf, S.1    Budianski, B.2
  • 3
    • 0021567792 scopus 로고
    • Microplane model for strain-controlled inelastic behavior
    • Chapter 3, Mechanics of engineering materials, C. S. Desai and R. H. Gallagher, eds., Wiley, London
    • Bažant, Z. (1984). "Microplane model for strain-controlled inelastic behavior." Chapter 3, Mechanics of engineering materials, C. S. Desai and R. H. Gallagher, eds., Wiley, London, 45-59.
    • (1984) , pp. 45-59
    • Bažant, Z.1
  • 4
    • 0021497185 scopus 로고
    • Crack shear in concrete: Crack band microplane model
    • Bažant, Z., and Gambarova, P. (1984). "Crack shear in concrete: Crack band microplane model." J. Struct. Eng., 110(9), 2015-2035.
    • (1984) J. Struct. Eng. , vol.110 , Issue.9 , pp. 2015-2035
    • Bažant, Z.1    Gambarova, P.2
  • 5
    • 79961051130 scopus 로고    scopus 로고
    • Size effect testing of cohesive fracture parameters and non-uniqueness of work-of-fracture method
    • Bažant, Z., and Yu, Q. (2011). "Size effect testing of cohesive fracture parameters and non-uniqueness of work-of-fracture method." J. Eng. Mech., 137(8), 580-588.
    • (2011) J. Eng. Mech. , vol.137 , Issue.8 , pp. 580-588
    • Bažant, Z.1    Yu, Q.2
  • 6
    • 77949629863 scopus 로고    scopus 로고
    • Can multiscale-multiphysics methods predict softening damage and structural failure?
    • Bažant, Z. P. (2010). "Can multiscale-multiphysics methods predict softening damage and structural failure?" Int. J. Multiscale Comput. Eng., 8(1), 61-67.
    • (2010) Int. J. Multiscale Comput. Eng. , vol.8 , Issue.1 , pp. 61-67
    • Bažant, Z.P.1
  • 7
    • 11244281037 scopus 로고    scopus 로고
    • Microplane model M5 with kinematic and static constraints for concrete fracture and anelasticity. I. Theory
    • Bažant, Z. P., and Caner, F. C. (2005a). "Microplane model M5 with kinematic and static constraints for concrete fracture and anelasticity. I. Theory." J. Eng. Mech., 131(1), 31-40.
    • (2005) J. Eng. Mech. , vol.131 , Issue.1 , pp. 31-40
    • Bažant, Z.P.1    Caner, F.C.2
  • 8
    • 11244324050 scopus 로고    scopus 로고
    • Microplane model M5 with kinematic and static constraints for concrete fracture and anelasticity. II. Computation
    • Bažant, Z. P., and Caner, F. C. (2005b). "Microplane model M5 with kinematic and static constraints for concrete fracture and anelasticity. II. Computation." J. Eng. Mech., 131(1), 41-47.
    • (2005) J. Eng. Mech. , vol.131 , Issue.1 , pp. 41-47
    • Bažant, Z.P.1    Caner, F.C.2
  • 9
    • 0034283204 scopus 로고    scopus 로고
    • Microplane model M4 for concrete: I. Formulation with workconjugate deviatoric stress
    • Bažant, Z. P., Caner, F. C., Carol, I., Adley, M. D., and Akers, S. A. (2000). "Microplane model M4 for concrete: I. Formulation with workconjugate deviatoric stress." J. Eng. Mech., 126(9), 944-953.
    • (2000) J. Eng. Mech. , vol.126 , Issue.9 , pp. 944-953
    • Bažant, Z.P.1    Caner, F.C.2    Carol, I.3    Adley, M.D.4    Akers, S.A.5
  • 10
    • 0003849357 scopus 로고
    • Stability of structures: Elastic, inelastic, fracture and damage theories
    • Oxford University Press, New York
    • Bažant, Z. P., and Cedolin, L. (1991). Stability of structures: Elastic, inelastic, fracture and damage theories, Oxford University Press, New York.
    • (1991)
    • Bažant, Z.P.1    Cedolin, L.2
  • 11
    • 0033200792 scopus 로고    scopus 로고
    • Finite strain tubesquash test of concrete at high pressures and shear angles up to 70 degrees
    • Bažant, Z. P., Kim, J.-J. H., and Brocca, M. (1999). "Finite strain tubesquash test of concrete at high pressures and shear angles up to 70 degrees." ACI Mater. J., 96(5), 580-592.
    • (1999) ACI Mater. J. , vol.96 , Issue.5 , pp. 580-592
    • Bažant, Z.P.1    Kim, J.-J.H.2    Brocca, M.3
  • 12
    • 0001864345 scopus 로고
    • Microplane model for fracture analysis of concrete structures
    • Proc., Symp. on the Interaction of Non-Nuclear Munitions with Structures, U.S. Air Force Academy, Colorado Springs, CO
    • Bažant, Z. P., and Oh, B.-H. (1983). "Microplane model for fracture analysis of concrete structures." Proc., Symp. on the Interaction of Non-Nuclear Munitions with Structures, U.S. Air Force Academy, Colorado Springs, CO, 49-53.
    • (1983) , pp. 49-53
    • Bažant, Z.P.1    Oh, B.-H.2
  • 13
    • 0022046380 scopus 로고
    • Microplane model for progressive fracture of concrete and rock
    • Bažant, Z. P., and Oh, B.-H. (1985). "Microplane model for progressive fracture of concrete and rock." J. Eng. Mech., 111(4), 559-582.
    • (1985) J. Eng. Mech. , vol.111 , Issue.4 , pp. 559-582
    • Bažant, Z.P.1    Oh, B.-H.2
  • 14
    • 0022593796 scopus 로고
    • Efficient numerical integration on the surface of a sphere
    • Bažant, Z. P., and Oh, B.-H. (1986). "Efficient numerical integration on the surface of a sphere." Z. Angew. Math. Mech., 66(1), 37-49.
    • (1986) Z. Angew. Math. Mech. , vol.66 , Issue.1 , pp. 37-49
    • Bažant, Z.P.1    Oh, B.-H.2
  • 15
    • 0024101709 scopus 로고
    • Microplane model for brittle plastic material: I. Theory
    • Bažant, Z. P., and Prat, P. C. (1988a). "Microplane model for brittle plastic material: I. Theory." J. Eng. Mech., 114(10), 1672-1688.
    • (1988) J. Eng. Mech. , vol.114 , Issue.10 , pp. 1672-1688
    • Bažant, Z.P.1    Prat, P.C.2
  • 16
    • 0024101650 scopus 로고
    • Microplane model for brittle plastic material: II. Verification
    • Bažant, Z. P., and Prat, P. C. (1988b). "Microplane model for brittle plastic material: II. Verification." J. Eng. Mech., 114(10), 1689-1702.
    • (1988) J. Eng. Mech. , vol.114 , Issue.10 , pp. 1689-1702
    • Bažant, Z.P.1    Prat, P.C.2
  • 17
    • 84884263930 scopus 로고    scopus 로고
    • How to enforce non-negative energy dissipation in microplane and other constitutive models of softening damage, plasticity and friction
    • Computational Modeling of Concrete Structures, Proc., EURO-C Conf., Taylor & Francis, London
    • Bažant, Z. P., Wu, J.-Y., Caner, F. C., and Cusatis, G. (2010). "How to enforce non-negative energy dissipation in microplane and other constitutive models of softening damage, plasticity and friction." Computational Modeling of Concrete Structures, Proc., EURO-C Conf., Taylor & Francis, London, 87-91.
    • (2010) , pp. 87-91
    • Bažant, Z.P.1    Wu, J.-Y.2    Caner, F.C.3    Cusatis, G.4
  • 18
    • 0001144972 scopus 로고    scopus 로고
    • Microplane model for concrete. I. Stress-strain boundaries and finite strain
    • Bažant, Z. P., Xiang, Y., and Prat, P. C. (1996). "Microplane model for concrete. I. Stress-strain boundaries and finite strain." J. Eng. Mech., 122(3), 245-254.
    • (1996) J. Eng. Mech. , vol.122 , Issue.3 , pp. 245-254
    • Bažant, Z.P.1    Xiang, Y.2    Prat, P.C.3
  • 19
    • 0001309163 scopus 로고    scopus 로고
    • Microplane constitutive model and metal plasticity
    • Brocca, M., and Bažant, Z. P. (2000). "Microplane constitutive model and metal plasticity." Appl. Mech. Rev., 53(10), 265-281.
    • (2000) Appl. Mech. Rev. , vol.53 , Issue.10 , pp. 265-281
    • Brocca, M.1    Bažant, Z.P.2
  • 20
    • 0032321097 scopus 로고    scopus 로고
    • Polycrystal constraint and grain subdivision
    • Butler, G. C., and Mcdowell, D. L. (1998). "Polycrystal constraint and grain subdivision." Int. J. Plast., 14(8), 703-717.
    • (1998) Int. J. Plast. , vol.14 , Issue.8 , pp. 703-717
    • Butler, G.C.1    Mcdowell, D.L.2
  • 21
    • 0034283047 scopus 로고    scopus 로고
    • Microplane model M4 for concrete. II: Algorithm and calibration
    • Caner, F. C., and Bažant, Z. P. (2000). "Microplane model M4 for concrete. II: Algorithm and calibration." J. Eng. Mech., 126(9), 954-961.
    • (2000) J. Eng. Mech. , vol.126 , Issue.9 , pp. 954-961
    • Caner, F.C.1    Bažant, Z.P.2
  • 22
    • 18744413577 scopus 로고    scopus 로고
    • Lateral confinement needed to suppress softening of concrete in compression
    • Caner, F. C., and Bažant, Z. P. (2002). "Lateral confinement needed to suppress softening of concrete in compression." J.Eng.Mech., 128(12), 1304-1313.
    • (2002) J.Eng.Mech. , vol.128 , Issue.12 , pp. 1304-1313
    • Caner, F.C.1    Bažant, Z.P.2
  • 23
    • 84858951950 scopus 로고    scopus 로고
    • Microplane model M6f for fiber reinforced concrete
    • Proc., XI Int. Conf. on Computational Plasticity Fundamentals and Applications,COMPLAS 2011, D. P. E. Oñate,D.R. J. Owen, and B. Suárez, eds., Centro Internacional de Métodos Numéricos en Ingeniería,Univ. Politècnica deCatalunya, Barcelona, Spain
    • Caner, F. C., and Bažant, Z. P. (2011). "Microplane model M6f for fiber reinforced concrete." Proc., XI Int. Conf. on Computational Plasticity Fundamentals and Applications,COMPLAS 2011, D. P. E. Oñate,D.R. J. Owen, and B. Suárez, eds., Centro Internacional de Métodos Numéricos en Ingeniería,Univ. Politècnica deCatalunya, Barcelona, Spain, 796-807.
    • (2011) , pp. 796-807
    • Caner, F.C.1    Bažant, Z.P.2
  • 24
    • 84888032024 scopus 로고    scopus 로고
    • Microplane model M7 for plain concrete. II: Calibration and verification
    • Caner, F. C., and Bažant, Z. P. (2013). "Microplane model M7 for plain concrete. II: Calibration and verification." J. Eng. Mech., 139(12), 1724-1735.
    • (2013) J. Eng. Mech. , vol.139 , Issue.12 , pp. 1724-1735
    • Caner, F.C.1    Bažant, Z.P.2
  • 25
    • 0036171006 scopus 로고    scopus 로고
    • Vertex effect in strain-softening concrete at rotating principal axes
    • Caner, F. C., Bažant, Z. P., and Cervenka, J. (2002). "Vertex effect in strain-softening concrete at rotating principal axes." J. Eng. Mech., 128(1), 24-33.
    • (2002) J. Eng. Mech. , vol.128 , Issue.1 , pp. 24-33
    • Caner, F.C.1    Bažant, Z.P.2    Cervenka, J.3
  • 26
    • 79953247857 scopus 로고    scopus 로고
    • Microplane model for fracturing damage of triaxially braided fiberpolymer composites
    • Caner, F. C., Bažant, Z. P., Hoover, C., Waas, A., and Shahwan, K. (2011). "Microplane model for fracturing damage of triaxially braided fiberpolymer composites." J. Eng. Mater. Technol., 133(2), 021024.
    • (2011) J. Eng. Mater. Technol. , vol.133 , Issue.2 , pp. 021024
    • Caner, F.C.1    Bažant, Z.P.2    Hoover, C.3    Waas, A.4    Shahwan, K.5
  • 27
    • 0031259447 scopus 로고    scopus 로고
    • Damage and plasticity in microplane theory
    • Carol, I., and Bažant, Z. P. (1997). "Damage and plasticity in microplane theory." Int. J. Solids Struct., 34(29), 3807-3835.
    • (1997) Int. J. Solids Struct. , vol.34 , Issue.29 , pp. 3807-3835
    • Carol, I.1    Bažant, Z.P.2
  • 28
    • 0035819815 scopus 로고    scopus 로고
    • A thermodynamically consistent approach to microplane theory. Part I. Free energy and consistent microplane stresses
    • Carol, I., Jirásek, M., and Bažant, Z. P. (2001). "A thermodynamically consistent approach to microplane theory. Part I. Free energy and consistent microplane stresses." Int. J. Solids Struct., 38(17), 2921-2931.
    • (2001) Int. J. Solids Struct. , vol.38 , Issue.17 , pp. 2921-2931
    • Carol, I.1    Jirásek, M.2    Bažant, Z.P.3
  • 29
    • 0347776205 scopus 로고    scopus 로고
    • Confinement-shear lattice model for concrete damage in tension and compression: I. Theory
    • Cusatis, G., Bažant, Z. P., and Cedolin, L. (2003). "Confinement-shear lattice model for concrete damage in tension and compression: I. Theory." J. Eng. Mech., 129(12), 1439-1448.
    • (2003) J. Eng. Mech. , vol.129 , Issue.12 , pp. 1439-1448
    • Cusatis, G.1    Bažant, Z.P.2    Cedolin, L.3
  • 30
    • 47049109147 scopus 로고    scopus 로고
    • Spectral stiffness microplane model for quasibrittle composite laminates-Part I: Theory
    • Cusatis, G., Beghini, H., and Bažant, Z. P. (2008). "Spectral stiffness microplane model for quasibrittle composite laminates-Part I: Theory." J. Appl. Mech., 75(2), 021009.
    • (2008) J. Appl. Mech. , vol.75 , Issue.2 , pp. 021009
    • Cusatis, G.1    Beghini, H.2    Bažant, Z.P.3
  • 31
    • 80052965852 scopus 로고    scopus 로고
    • Lattice discrete particle model (LDPM) for failure behavior of concrete. II: Calibration and validation
    • Cusatis, G., Mencarelli, A., Pelessone, D., and Baylot, J. T. (2011a). "Lattice discrete particle model (LDPM) for failure behavior of concrete. II: Calibration and validation." Cement Concr. Compos., 33(9), 891-905.
    • (2011) Cement Concr. Compos. , vol.33 , Issue.9 , pp. 891-905
    • Cusatis, G.1    Mencarelli, A.2    Pelessone, D.3    Baylot, J.T.4
  • 32
    • 80052970869 scopus 로고    scopus 로고
    • Lattice discrete particle model (LDPM) for failure behavior of concrete. I: Theory
    • Cusatis, G., Pelessone, D., and Mencarelli, A. (2011b). "Lattice discrete particle model (LDPM) for failure behavior of concrete. I: Theory." Cement Concr. Compos., 33(9), 881-890.
    • (2011) Cement Concr. Compos. , vol.33 , Issue.9 , pp. 881-890
    • Cusatis, G.1    Pelessone, D.2    Mencarelli, A.3
  • 33
    • 0003709624 scopus 로고
    • Foundations of solid mechanics
    • Prentice Hall, Englewood Cliffs, NJ
    • Fung, Y. C. (1968). Foundations of solid mechanics, Prentice Hall, Englewood Cliffs, NJ.
    • (1968)
    • Fung, Y.C.1
  • 34
    • 0027642535 scopus 로고
    • Nonlocal microplane concrete model with rate effect and load cycles. I: General formulation
    • Hasegawa, T., and Bažant, Z. P. (1993a). "Nonlocal microplane concrete model with rate effect and load cycles. I: General formulation." J. Mater. Civ. Eng., 5(3), 372-410.
    • (1993) J. Mater. Civ. Eng. , vol.5 , Issue.3 , pp. 372-410
    • Hasegawa, T.1    Bažant, Z.P.2
  • 35
    • 0027642949 scopus 로고
    • Nonlocal microplane concrete model with rate effect and load cycles. II: Application and verification
    • Hasegawa, T., and Bažant, Z. P. (1993b). "Nonlocal microplane concrete model with rate effect and load cycles. II: Application and verification." J. Mater. Civ. Eng., 5(3), 394-410.
    • (1993) J. Mater. Civ. Eng. , vol.5 , Issue.3 , pp. 394-410
    • Hasegawa, T.1    Bažant, Z.P.2
  • 36
    • 0015490588 scopus 로고
    • Constitutive analysis of elastic-plastic crystal at arbitrary strain
    • Hill, R., and Rice, J. R. (1972). "Constitutive analysis of elastic-plastic crystal at arbitrary strain." J. Mech. Phys. Solids, 20(6), 401-413.
    • (1972) J. Mech. Phys. Solids , vol.20 , Issue.6 , pp. 401-413
    • Hill, R.1    Rice, J.R.2
  • 37
    • 0004085009 scopus 로고    scopus 로고
    • Inelastic analysis of structures
    • Wiley, London
    • Jirásek, M., and Bažant, Z. P. (2002). Inelastic analysis of structures, Wiley, London.
    • (2002)
    • Jirásek, M.1    Bažant, Z.P.2
  • 38
    • 0015161025 scopus 로고
    • Inelastic constitutive relations for solids: An internal variable theory and its application to metal plasticity
    • Rice, J. (1971). "Inelastic constitutive relations for solids: An internal variable theory and its application to metal plasticity." J. Mech. Phys. Solids, 19(6), 433-455.
    • (1971) J. Mech. Phys. Solids , vol.19 , Issue.6 , pp. 433-455
    • Rice, J.1
  • 39
    • 0003769405 scopus 로고
    • Approximate calculation of multiple integrals
    • Prentice Hall, Englewood Cliffs, NJ
    • Stroud, A. H. (1971). Approximate calculation of multiple integrals, Prentice Hall, Englewood Cliffs, NJ.
    • (1971)
    • Stroud, A.H.1


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