Normal/shear cracking model: Application to discrete crack analysis

Journal of Engineering Mechanics

Volumn 123, Issue 8, 1997, Pages 765-773

  Carol, Ignacio ^a,b   Prat, Pere C ^a,b   López, Carlos M ^b  

^a ASCE   (Spain)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK ANALYSIS; FRACTURE MECHANICS; QUASIBRITTLE FRACTURE;

EID: 0030692647     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1997)123:8(765)     Document Type: Article

References (75)

1. Arrea, M., and Ingraffea, A. (1981). " Mixed-mode crack propagation in mortar and concrete." Tech. Rep. 81-13, Cornell Univ., Ithaca, N.Y.
2. Barton, N. (1974). " Estimating the shear strength of rock joints." Proc., 3rd Int. Cong. on Rock Mech., ISRM, Denver, Colo., 219-220.
3. Bažant, Z. (1986). " Mechanics of distributed cracking." Appl. Mech. Rev., 39(5), 675-705.
4. Bažant, Z., and Cedolin, L. (1979). " Blunt crack propagation in finite element analysis." J. Engrg. Mech. Div., ASCE, 105(2), 297-315.
5. Bažant, Z., and Oh, B. (1983). " Crack band theory for fracture of concrete." Mat. and Struct., Paris, France, 16(93), 155-177.
6. Bažant, Z., and Ozbolt, J. (1990). " Nonlocal microplane model for fracture, damage and size effect in structures." J. Engrg. Mech., ASCE, 116(11), 2485-2504.
7. Bažant, Z., and Pijaudier-Cabot, G. (1988). " Non-local continuum damage, localization stability and convergence." J. Appl. Mech., 55(2), 287-293.
8. Bittencourt, T., Ingraffea, A., and Llorca, J. (1992). " Simulation of arbitrary, cohesive crack propagation." Fracture mechanics of concrete structures, Z. Bažant, ed., Elsevier Science Publishing Co., Inc., New York, N.Y.
9. Blaauwendraad, J., and Grootenboer, H. (1981). " Essentials for discrete crack analysis." IABSE Colloquium Delft - Advanced Mech. of Reinforced Concrete, (IABSE Rep. 34), Delft University Press, Delft, The Netherlands, 263-272.
10. Carol, I., Gens, A., and Alonso, E. (1985). " A three dimensional elastoplastic joint element," Fundamentals of rock joints, O. Stephansson, ed., Centek Publishers, Luleå, Sweden, 441-451.
11. Carol, I., and Prat, P. (1990). " A statically constrained microplane model for the smeared analysis of concrete cracking." Computer aided analysis and design of concrete structures, Volume 2, N. Bićanić and H. Mang, eds., Pineridge Press, Zell-am-See, Austria, 919-930.
12. Carol, I., and Prat, P. (1991). " Smeared analysis of concrete fracture using a microplane based multicrack model with static constraint." Fracture processes in concrete, rock and ceramics, J. van Mier, J. Rots, and A. Bakker, eds., E & FN Spon, London, U.K., 619-628.
13. Carol, I., and Willam, K. (1996). " Spurious energy dissipation/generation in modeling of stiffness recovery for elastic degradation and damage." Int. J. Solids and Struct., 33(20-22), 2939-2957.
14. Carol, I., Gens, A., and Alonso, E. (1986). " Three dimensional model for rock joints." Numerical models in geomechanics, G. Pande and W. van Impe, eds., Gent. McJackson & Son, Redruth, England, 179-189.
15. Carol, I., Prat, P., and Bažant, Z. (1992). " New explicit microplane model for concrete: theoretical aspects and numerical implementation." Int. J. Solids and Struct., 29(9), 1173-1191.
16. Carol, I., Prat, P., and Gettu, R. (1993). " Numerical analysis of mixed-mode fracture of quasi-brittle materials using a multicrack constitutive model." Mixed-mode fatigue and fracture, H. Rossmanith and K. Miller, eds., Mechanical Engineering Publications Ltd., London, U.K., 319-332.
17. Carol, I., Rizzi, E., and Willam, K. (1994). " Towards a general formulation of elastic degradation and damage based on a loading surface." Computational modelling of concrete structures, H. Mang, N. Bićanić, and R. de Borst, eds., Pineridge Press, Innsbruck, Austria, 199-208.
18. Carpinteri, A. (1989). " Softening and snap-back instability in cohesive solids." Int. J. Numer. Methods in Engrg., 28, 1521-1537.
19. Červenka, V. (1970). " Inelastic finite element analysis of reinforced concrete panels under in-plane loads," PhD thesis, Univ. of Colorado, Boulder, Colo.
20. Červenka, J. (1994). " Discrete crack modeling in concrete structures," PhD thesis, Univ. of Colorado, Boulder, Colo.
21. Cope, R., Rao, P., Clark, L., and Norris, P. (1980). " Modelling of reinforced concrete behavior for finite element analysis of bridge slabs." Numerical methods for non-linear problems 1, C. Taylor et al., eds., Pineridge Press, Swansea, U.K., 457-470.
22. Cox, J., and Herrmann, L. (1995). " A model for bond between steel bars and concrete." Proc., 10th Conf. on Engrg. Mech., Vol. 1, S. Sture, ed., ASCE, New York, N.Y., 647-650.
23. Crisfield, M. (1991). Non-linear finite element analysis of solids and structures, Volume 1. John Wiley & Sons, Inc., New York, N.Y.
24. de Borst, R. (1986). " Non-linear analysis of frictional materials," PhD thesis, Delft Univ. of Technol., Delft, The Netherlands.
25. de Borst, R. (1991). " Simulation of strain localization: a reappraisal of the Cosserat continuum." Engrg. Computations, Swansea, U.K., 8, 317-332.
26. de Borst, R., and Mühlhaus, H. (1992). " Gradient-dependent plasticity: formulation and algorithmic aspects." Int. J. Numer. Methods in Engrg., 35, 521-539.
27. de Borst, R., and Nauta, P. (1985). " Non-orthogonal cracks in a smeared finite element model." Engrg. Computations, Swansea, U.K., 2, 35-46.
28. Dvorkin, E., Cuitino, A., and Gioia, G. (1990). " Finite elements with displacement interpolated embedded localization." Int. J. Numer. Methods in Engrg., 30, 541-564.
29. García-Álvarez, V., Carol, I., and Gettu, R. (1994). " Numerical simulation of fracture in concrete using joint elements." Anales de Mecánica de la Fractura, Madrid, Spain, 11, 75-80.
30. Gens, A., Carol, I., and Alonso, E. (1988). " An interface element formulation for the analysis of soil-reinforcement interaction." Comp. and Geotechnics, 7, 133-151.
31. Gens, A., Carol, I., and Alonso, E. (1989). " Elasto-plastic model for joints and interfaces." Computational plasticity, D. Owen, E. Hinton, and E. Oñate, eds., Pineridge Press, Barcelona, Spain, 1251-1264.
32. Gens, A., Carol, I., and Alonso, E. (1990). " A constitutive model for rock joints; formulation and numerical implementation." Comp. and Geotechnics, 9, 3-20.
33. Gens, A., Carol, I., and Alonso, E. (1995). Rock joints: FEM implementation and applications. Mechanics of geomaterial interfaces, A. Selvadurai and M. Boulon, eds., Elsevier Science Publishing Co., Inc., New York, N.Y., 395-420.
34. Gopalaratnam, V., and Ye, B. (1991). " Numerical characterization of the nonlinear fracture process in concrete." Engrg. Fracture Mech., 40(6), 991-1006.
35. Gupta, A., and Akbar, H. (1984). " Cracking in reinforced concrete analysis." J. Struct. Engrg., ASCE, 110, 1735-1746.
36. Hassanzadeh, M. (1990). " Determination of fracture zone properties in mixed mode I and II." Engrg. Fracture Mech., 35(4/5), 845-853.
37. Hillerborg, A. (1978). " A model for fracture analysis." Tech. Rep. TVBM-3005, Div. of Build. Mat., The Lund Inst. of Technol., Lund, Sweden.
38. Hillerborg, A., Modéer, M., and Petersson, P. (1976). " Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements." Cement and Concrete Res., 6(6), 773-781.
39. Hoek, E. (1983). " Strength of jointed rock masses." Géotechnique, London, U.K., 33(3), 187-223.
40. Hohberg, J. (1992a). " A joint element for the nonlinear dynamic analysis of arch dams." Tech. Rep. 186, Institute of Structural Engineering, ETH Zürich, Switerland.
41. Hohberg, J. (1992b). Multimechanism plasticity with coupled damage in tension and shear. Computational plasticity, (COMPLAS III), Vol. 2, D. Owen, E. Oñate, and E. Hinton, eds., Pineridge Press, Barcelona, Spain, 1503-1514.
42. Ingraffea, A. (1977). " Discrete fracture propagation in rock: laboratory tests and finite element analysis," PhD thesis, Univ. of Colorado, Boulder, Colo.
43. Klisinski, M., Runesson, K., and Sture, S. (1991). " Finite element with inner softening band." J. Engrg. Mech., ASCE, 117(3), 575-587.
44. López, C., Carol, I., and Aguado, A. (1996). " New results in fracture analysis of concrete microstructure using interface elements." Anales de Mecánica de la Fractura, 13, 92-97.
45. Lotfi, H., and Shing, P. (1994). " Interface model applied to fracture of masonry structures." J. Struct. Engrg., ASCE, 120(1), 63-80.
46. Lotfi, H., and Shing, P. (1995). " Embedded representation of fracture in concrete with mixed finite elements." Int. J. Numer. Methods in Engrg., 38, 1307-1325.
47. Marques, J. (1984). " Stress computation in elastoplasticity." Engrg. Computations, Swansea, U.K., 1, 42-51.
48. Ngo, D., and Scordelis, A. (1967). " Finite element analysis of reinforced concrete beams." J. Am. Concrete Inst., 64(14), 152-163.
49. Nilson, A. (1968). " Nonlinear analysis of reinforced concrete by the finite element method." J. Am. Concrete Inst., 65(9), 757-766.
50. Ortiz, M., and Quigley, J. (1990). " Adaptive mesh refinement in strain localization problems." Comp. Methods in Appl. and Mech. Engrg., 90, 781-804.
51. Ortiz, M., Leroy, Y., and Needleman, A. (1987). " A finite element method for localized failure analysis." Comp. Methods in Appl. and Mech. Engrg., 61, 189-214.
52. Pande, G. (1985). " A constitutive model of rock joints." Fundamentals of rock joints, O. Stephansson, ed., Centek Publishers, Luleå, Sweden, 429-439.
53. Pietruszczak, S., and Mróz, Z. (1981). " Finite element analysis of deformation of strain-softening materials." Int. J. Numer. Methods in Engrg., 17, 327-334.
54. Plesha, M. (1987). " Constitutive model for rock discontinuities with dilatancy and surface degradation." Int. J. Numer. and Analytical Methods in Geomech., 11, 345-362.
55. Plesha, M., Ballarini, R., and Parulekar, A. (1989). " Constitutive model and finite element procedure for dilatant contact problems." J. Engrg. Mech., ASCE, 115(12), 2649-2668.
56. Prat, P., Delahaye, C., Gens, A., Carol, I., and Alonso, E. (1994). " Safety evaluation of an arch dam founded on fractured rock based on a 3D nonlinear analysis with joint elements." Dam fracture and fatigue, E. Bourdarot, J. Mazars, and V. Saouma, eds., A. A. Balkema, Rotterdam, The Netherlands, 211-220.
57. Rashid, Y. (1968). " Analysis of prestressed concrete pressure vessels." Nuclear Engrg. and Des., 7, 334-344.
58. Reinhardl, H., and Cornelissen, H. (1984). " Post-peak cyclic behaviour of concrete in uniaxial tensile and alternating tensile and compressive loading." Cement and Concrete Res., 14(2), 263-270.
59. Riggs, H., and Powell, G. (1986). " Rough crack model for analysis of concrete." J. Engrg. Mech., ASCE, 112(5), 448-464.
60. Rots, J. (1988). " Computational modelling of concrete fracture," PhD thesis, Delft Univ. of Technol., Delft, The Netherlands.
61. Rots, J., Nauta, P., Kursters, G., and Blaauwendraad, J. (1985). " Smeared crack approach and fracture localization in concrete." HERON, Stevin Laboratory and TNO Research, The Netherlands, 3-48.
62. Saouma, V. (1980). " Automated nonlinear finite element analysis of reinforced concrete: a fracture Mechanics approach," PhD thesis, Cornell Univ., Ithaca, N.Y.
63. Simo, J., Oliver, J., and Armero, F. (1993). " An analysis of strong discontinuities induced by strain softening in rate-independent inelastic solids." Computational Mech., 12, 277-296.
64. Stankowski, T., Runesson, K., and Sture, S. (1993). " Fracture and slip of interfaces in cementitious composites. I: Characteristics, II: Implementation." J. Engrg. Mech., ASCE, 119(2), 292-327.
65. Steinmann, P., and Willam, K. (1991). " Performance of enhanced finite element formulations in localized failure computations." Comp. Methods in Appl. and Mech. Engrg., 90, 845-867.
66. Steinmann, P., and Willam, K. (1994). " Finite element analysis of elastoplastic discontinuities." J. Engrg. Mech., ASCE, 120(11), 2428-2442.
67. Suidan, M., and Schnobrich, W. (1973). " Finite element analysis of reinforced concrete." J. Struct. Div., ASCE, 99(10), 2109-2122.
68. Vardoulakis, I., and Aifantis, E. (1991). " A gradient flow theory of plasticity for granular materials." Acta Mechanica, 87, 197-217.
69. Vonk, R. (1992). " Softening of concrete loaded in compression," PhD thesis, Technische Universiteit Eindhoven, Eindhoven, The Netherlands.
70. Weihe, S., König, M., and Kröplin, B. (1994). " A treatment of mixed mode fracture in debonding." Comp. and Math. Sci., 3, 254-262.
71. Willam, K. (1984). " Experimental and computational aspects of concrete fracture. Computer-aided analysis and design of concrete structures, F. Damjanić, H. Hinton, D. Owen, N. Bićanić, and V. Simović, eds, Pineridge Press, Split, Yugoslavia, 33-70.
72. Willam, K., Bićanić, N., and Sture, S. (1984). " Constitutive and computational aspects of strain softening and localization in solids Proc., ASME-WAM'84 Symp. on Constitutive Equations (New Orleans) - ASME Symp. Vol. G00274, ASME Press, New York, N.Y., 233-252
73. Willam, K., Pramono, E., and Sture, S. (1987). " Fundamental issues of smeared crack models." Proc., SEM-RILEM Int. Conf. on Fracture of Concrete and Rock, S. Shah and S. Swartz, eds., SEM, Bethel, Conn., 192-197.
74. Willam, K., and Sture, S. (1985). " A composite fracture model for localized failure in cementitious materials." Proc., 2nd Symp. on the Interaction of Nonnuclear Munitions with Struct.
75. Zienkiewicz, O., and Pande, G. (1977). " Some useful forms of isotropic yield surfaces for soil and rock mechanics." Finite elements in geomechanics, G. Gudehus, ed., John Wiley & Sons, Inc., New York, N.Y., 179-190.