Microplane model M7 for plain concrete. II: Calibration and verification

Journal of Engineering Mechanics

Volumn 139, Issue 12, 2013, Pages 1724-1735

  Caner, Ferhun C ^a,b   Bažant, Zdeněk P ^c  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b Northwestern University   (United States)

^c NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Concrete; Constitutive modeling; Cracking damage; Data fitting; Experimental verification; Finite element analysis; Inelastic behavior; Model calibration

Indexed keywords

CRACKING DAMAGE; DATA FITTINGS; EXPERIMENTAL VERIFICATION; INELASTIC BEHAVIOR; MODEL CALIBRATION;

ALGORITHMS; CALIBRATION; COMPRESSIVE STRENGTH; COMPUTER SIMULATION; CONCRETES; CONSTITUTIVE MODELS; FRACTURE; GAGES; SHEAR FLOW; TENSILE TESTING; TENSORS;

FINITE ELEMENT METHOD;

ALGORITHM; CALIBRATION; COMPRESSIVE STRENGTH; CONCRETE STRUCTURE; CONSTITUTIVE EQUATION; CRACKING; DAMAGE MECHANICS; ELASTICITY; FINITE ELEMENT METHOD; NUMERICAL MODEL; STRAIN;

EID: 84888032024     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)EM.1943-7889.0000571     Document Type: Article

References (36)

1. ABAQUS 6.11 [Computer software]. Vélizy-Villacoublay, France, Dassault Systèmes.
2. Balmer, G. G. (1949). "Shearing strength of concrete under high triaxial stress computation of Mohr's envelope as a curve." Rep. No. SP-23, Structural Research Laboratory, Bureau of Reclamation, U.S. Dept. of the Interior, Denver.
3. 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.
4. Bažant, Z. P., Bishop, F. C., and Chang, T.-P. (1986). "Confined compression tests of cement paste and concrete up to 300 ksi." J. Am. Concr. Inst., 33(4), 553-560.
5. Bažant, Z. P., and Caner, F. C. (2005). "Microplane model M5 with kinematic and static constraints for concrete fracture and anelasticity. II. Computation." J. Eng. Mech., 131(1), 41-47.
6. Bažant, Z. P., and Cedolin, L. (1991). Stability of structures: Elastic, damage theories, Oxford University Press, New York.
7. Bažant, Z. P., and Oh, B.-H. (1983). "Crack band theory for fracture of concrete." Matér. Struct., 16(3), 155-177.
8. 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.
9. Bažant, Z. P., Xiang, Y., Adley, M. D., Prat, P. C., and Akers, S. A. (1996). "Microplane model for concrete. II. Data delocalization and verification." J. Eng. Mech., 122(3), 255-262.
10. Bresler, B., and Pister, K. S. (1958). "Strength of concrete under combined stresses." J. Am. Concr. Inst., 551(9), 321-345.
11. Brocca, M., and Bažant, Z. P. (2000). "Microplane constitutive model and metal plasticity." Appl. Mech. Rev., 53(10), 265-281.
12. Budianski, B. (1959). "A reassessment of deformation theories of plasticity." J. Appl. Mech., 26(2), 259-264.
13. Caner, F., Bažant, Z., and Cervenka, J. (2002). "Vertex effect in strain-softening concrete at rotating principal axes." J. Eng. Mech., 128(1), 24-33.
14. Caner, F. C., and Bažant, Z. P. (2013). "Microplane model M7 for plain concrete. I: Formulation." J. Eng. Mech., 139(12), 1714-1723.
15. Chern, J.-C., Yang, H.-J., and Chen, H.-W. (1992). "Behavior of steel fiber-reinforced concrete in multiaxial loading." ACI Mater. J., 89(1), 32-40.
16. 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.
17. 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.
18. 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.
19. Gálvez, J., Elices, M., Guinea, G., and Planas, J. (1998). "Mixed mode fracture of concrete under proportional and nonproportional loading." Int. J. Fract., 94(3), 267-284.
20. Gasser, T. C., and Holzapfel, G. A. (2006). "3D crack propagation in unreinforced concrete: A two-step algorithm for tracking 3D crack paths." Comput. Methods Appl. Mech. Eng., 195(37-40), 5198-5219.
21. Gerard, G., and Becker, H. (1957). "Handbook of structural stability: Part I. Buckling of flat plates." NACA Technical Note 3781, National Advisory Committee for Aeronautics, Washington, DC.
22. Green, S. J., and Swanson, S. R. (1973). "Static constitutive relations for concrete." Rep. No. AFWL-TR-72-2, Air Force Weapons Laboratory, Kirtland Air Force Base, Albuquerque, NM.
23. Jirásek, M., and Zimmermann, T. (1998). "Analysis of rotating crack model." J. Eng. Mech., 124(8), 842-851.
24. Kupfer, H., Hilsdorf, H. K., and Rüsch, H. (1969). "Behavior of concrete under biaxial stresses." J. Am. Concr. Inst., 66(8), 656-666.
25. Launay, P., and Gachon, H. (1971). "Strain and ultimate strength of concrete under triaxial stress." Proc., 1st Int. Conf. on Structural Mechanics in Reactor Technology (SMiRT1), T. Jaeger, ed., Commission of European Communities, Brussels, Belgium.
26. Li, F., and Li, Z. (2000). "Continuum damage mechanics based modeling of fiber-reinforced concrete in tension." Int. J. Solids Struct., 38(5), 777-793.
27. Li, Z., Li, F., Chang, T.-Y.-P., and Mai, Y.-W. (1998). "Uniaxial tensile behavior of concrete reinforced with randomly distributed short fibers." ACI Mater. J., 95(5), 564-574.
28. Nooru-Mohamed, M. (1992). "Mixed mode fracture of concrete: An experimental approach." Ph.D. thesis, Delft Univ. of Technology, Delft, Netherlands.
29. Petersson, P. E. (1981). "Crack growth and development of fracture zones in plain concrete and similar materials." Rep. No. TVBM 1006, Lund Institute of Technology, Lund, Sweden.
30. Pivonka, P., Ožbolt, J., Lackner, R., and Mang, H. A. (2004). "Comparative studies of 3D-constitutive models for concrete: Application to mixedmode fracture." Int. J. Numer. Methods Eng., 60(2), 549-570.
31. Reinhardt, H. W., and Cornelissen, H. A. W. (1984). "Post-peak cyclic behavior of concrete in uniaxial tensile and alternating tensile and compressive loading." Cement Concr. Res., 14(2), 263-270.
32. Sinha, B. P., Gerstle, K. H., and Tulin, L. G. (1964). "Stress-strain relations for concrete under cyclic loading." J. Am. Concr. Inst., 62(2), 195-210.
33. van Mier, J. G. M. (1984). "Strain-softening of concrete under multiaxial loading conditions." Ph.D. thesis, Die Technische Hogeschool Eindhoven, Eindhoven, Netherlands.
34. van Mier, J. G. M. (1986a). "Multiaxial strain-softening of concrete. I: Fracture." Mater. Struct., 19(3), 179-190.
35. van Mier, J. G. M. (1986b). "Multiaxial strain-softening of concrete. II: Load histories." Mater. Struct., 19(3), 190-200.
36. Yin, W. S., Su, E. C. M., Mansur, M. A., and Hsu, T. T. C. (1989). "Biaxial tests of plain and fiber concrete." ACI Mater. J., 86(3), 236-243.