Two-dimensional simulations of concrete fracture at aggregate level with cohesive elements based on X-ray μCT images

Engineering Fracture Mechanics

Volumn 168, Issue , 2016, Pages 204-226

  Trawinski W ^a   Bobinski J ^a   Tejchman, J ^a  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Cohesive elements; Concrete beam; Fracture; Interfacial transitional zones; Meso scale finite element method; X ray CT

Indexed keywords

AGGREGATES; CEMENTS; CONCRETE BEAMS AND GIRDERS; CONCRETES; FRACTURE; NUMERICAL METHODS; STEAM TURBINES;

COHESIVE ELEMENT; CONCRETE BEAM; LOAD DISPLACEMENTS; MESO SCALE; MESOSCALE SIMULATION; PARTICLE DISTRIBUTIONS; THREE-POINT BENDING TEST; TWO-DIMENSIONAL SIMULATIONS;

FINITE ELEMENT METHOD;

EID: 84993999423     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2016.09.012     Document Type: Article

References (66)

1. [1] Bažant, Z., Planas, J., Fracture and size effect in concrete and other quasibrittle materials. 1997, CRC Press LLC, Boca Raton.
2. [2] Lilliu, G., van Mier, J.G.M., 3D lattice type fracture model for concrete. Eng Fract Mech 70 (2003), 927–941.
3. [3] Tejchman, J., Bobiński, J., Continuous and discontinuous modelling of fracture in concrete using FEM. 2013, Springer, Berlin-Heidelberg.
4. [4] Skarżyński, Ł., Nitka, M., Tejchman, J., Modelling of concrete fracture at aggregate level using FEM and DEM based on X-ray μCT images of internal structure. Eng Fract Mech 147 (2015), 13–35.
5. [5] Scrivener, K.L., Crumbie, A.K., Laugesen, P., The interfacial transition zone (ITZ) between cement paste and aggregate in concrete. Interf Sci 12 (2004), 411–421.
6. [6] Mondal, P., Shah, S.P., Marks, L.D., Nanomechanical properties of interfacial transition zone in concrete. Nanotechnol Constr 3 (2009), 315–320.
7. [7] Königsberger, M., Pichler, B., Hellmich, C.H., Micromechanics of ITZ-aggregate interaction in concrete Part II: Strength upscaling. J Am Ceram Soc 97 (2014), 543–551.
8. [8] Gitman, I.M., Askes, H., Sluys, L.J., Coupled-volume multi-scale modelling of quasi-brittle material. Eur J Mech A/Solids 27 (2008), 302–327.
9. [9] Skarżyński, Ł., Tejchman, J., Calculations of fracture process zones on meso-scale in notched concrete beams subjected to threepoint bending. Eur J Mech A/Solids 29 (2010), 746–760.
10. [10] Skarżyński, Ł, Tejchman, J., Modelling the effect of composition on the tensile properties of concrete Understanding the tensile properties of concrete, 2013, Woodhead Publishing Limited, 52–97.
11. [11] Kim, S.M., Abu Al-Rub, R.K., Meso-scale computational modelling of the plastic-damage response of cementitious composites. Cem Concr Res 41 (2011), 339–358.
12. [12] Shahbeyk, S., Hosseini, M., Yaghoobi, M., Mesoscale finite element prediction of concrete failure. Comput Mater Sci 50 (2011), 1973–1990.
13. [13] Skarżyński, Ł., Tejchman, J., Experimental investigations of fracture process in concrete by means of X-ray micro-computed tomography. Strain 52 (2016), 26–45.
14. [14] Li, Y.Y., Schmitt, D.R., Drilling induced core fractures and in situ stress. J Geophys Res 103 (1998), 5225–5239.
15. [15] Ren, W., Yang, Z., Sharma, R., Zhang, Ch., Withers, P.J., Two-dimensional X-ray CT image based mesoscale fracture modelling of concrete. Eng Fract Mech 133 (2015), 24–39.
16. [16] Wang, X., Yang, Z., Jivkov, A.P., Monte Carlo simulations of mesoscale fracture of concrete with random aggregates and pores: a size effect study. Constr Build Mater 80 (2015), 262–272.
17. [17] Wang, X., Zhang, M., Jivkov, A.P., Computational technology for analysis of 3D mesostructure effects on damage and failure of concrete. Int J Solids Struct 80 (2016), 310–333.
18. [18] Herrmann, H.J., Hansen, A., Roux, S., Fracture of disordered elastic lattices in two dimensions. Phys Rev B 39 (1989), 637–647.
19. [19] Schlangen, E., Garboczi, E.J., Fracture simulations of concrete using lattice models: computational aspects. Eng Fract Mech 57 (1997), 319–332.
20. [20] Bolander, J.E., Sukumar, N., Irregular lattice model for quasistatic crack propagation. Phys Rev B 71 (2005), 94–106.
21. [21] Kozicki, J., Tejchman, J., Effect of aggregate structure on fracture process in concrete using 2D lattice model. Arch Mech 59 (2007), 1–20.
22. [22] Sakaguchi, H., Muhlhaus, H.B., Mesh free modelling of failure and localization in brittle materials. Deformation Prog Failure Geomech, 1997, 15–21.
23. [23] D'Addetta, G.A., Kun, F., Ramm, E., On the application of a discrete model to the fracture process of cohesive granular materials. Granular Matter 4 (2002), 77–90.
24. [24] Hentz, S., Donze, F.V., Daudeville, L., Discrete element modelling of concrete submitted to dynamic loading at high strain rates. Comput Struct 82 (2004), 2509–2524.
25. [25] Nitka, M., Tejchman, J., Modelling of concrete behaviour in uniaxial compression and tension with DEM. Granular Matter 17 (2015), 145–164.
26. [26] Carol, I., López, C.M., Roa, O., Micromechanical analysis of quasi-brittle materials using fracture-based interface elements. Int J Numer Methods Eng 52 (2001), 193–215.
27. [27] Caballero, A., Carol, I., López, C.M., New results in 3D meso-mechanical analysis of concrete specimens using interface elements. Computational modelling of concrete structures, EURO-C, 2006, Taylor and Francis Group, 43–52.
28. [28] Kikuchi, A., Kawai, T., Suzuki, N., The rigid bodies-spring models and their applications to three-dimensional crack problems. Comput Struct 44 (1992), 469–480.
29. [29] Cusatis, G., Bažant, Z., Cedolin, I., Confinement-shear lattice CSL model for fracture propagation in concrete. Comput Methods Appl Mech Eng 195 (2006), 7154–7171.
30. [30] Mariotti, C., Lamb's problem with the lattice model. Geophys J Int 171 (2007), 857–864.
31. [31] Sluys, L.J., Wave propagation, localization and dispersion in softening solids. PhD thesis, 1992, TU Delft.
32. [32] Tejchman, J., Wu, W., Numerical study on patterning of shear bands in a Cosserat continuum. Acta Mech 99 (1993), 61–74.
33. [33] Tejchman, J., Herle, I., Wehr, J., FEstudies on the influence of initial void ratio, pressure level and mean grain diameter on shear localization. Int J Numer Anal Methods Geomech 23 (1999), 2045–2074.
34. [34] Sluys, L.J., de Borst, R., Dispersive properties of gradient and ratedependent media. Mech Mater 183 (1994), 131–149.
35. [35] Pamin, J., Gradient-dependent plasticity in numerical simulation of localization phenomena. PhD thesis, 1994, TU Delft.
36. [36] de Borst, R., Pamin, J., Some novel developments in finite element procedures for gradientdependent plasticity. Int J Numer Methods Eng 39 (1996), 2477–2505.
37. [37] Askes, H., Sluys, L.J., A classification of higherorder strain gradient models in damage mechanics. Arch Appl Mech 53 (2003), 448–465.
38. [38] Pamin, J., Gradientenhanced continuum models: formulation, discretization and applications, habilitation. 2004, Cracow University of Technology.
39. [39] Pijaudier-Cabot, G., Bažant, Z.P., Nonlocal damage theory. ASCE J Eng Mech 113 (1987), 1512–1533.
40. [40] Bažant, Z.P., Lin, F., Nonlocal yield limit degradation. Int J Numer Methods Eng 35 (1988), 1805–1823.
41. [41] Brinkgreve, R.B.J., Geomaterial models and numerical analysis of softening. PhD thesis, 1994, TU Delft.
42. [42] Bažant, Z.P., Jirásek, M., Nonlocal integral formulations of plasticity and damage: survey of progress. J Eng Mech 128 (2002), 1119–1149.
43. [43] Jirásek, M., Rolshoven, S., Comparison of integraltype nonlocal plasticity models for strainsoftening materials. Int J Eng Sci 41 (2003), 1553–1602.
44. [44] Tejchman, J., Influence of a characteristic length on shear zone formation in hypoplasticity with different enhancements. Comput Geotech 31 (2004), 595–611.
45. [45] Bobiński, J., Tejchman, J., Comparison of continuous and discontinuous constitutive models to simulate concrete behaviour under mixed mode failure conditions. Int J Numer Anal Methods Geomech 40 (2016), 406–435.
46. [46] Bobiński, J., Tejchman, J., A coupled constitutive model for fracture in plain concrete based on continuum theory with non-local softening and eXtended finite element method. Finite Elem Anal Des 114 (2016), 1–21.
47. [47] Dessault Systemes. Abaqus documentation. Version 6.13; 2013.
48. [48] Hillerborg, A., Modeer, M., Petersson, P.E., Analysis of crack propagation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6 (1976), 773–782.
49. [49] Dugdale, D.S., Yielding of steel sheers containing slits. J Mech Phys Solids 8 (1960), 100–108.
50. [50] Camacho, G.T., Ortiz, M., Computational modelling of impact damage in brittle materials. Int J Solids Struct 33 (1996), 2899–2938.
51. [51] de Borst, R., Numerical aspects of cohesive-zone models. Eng Fract Mech 70 (2003), 1743–1757.
52. [52] Tijssens, M.G.A., Sluys, B.L.J., van der Giessen, E., Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces. Eur J Mech A/Solids 19 (2000), 761–779.
53. [53] Zhou, F., Molinari, J.F., Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency. Int J Numer Methods Eng 59 (2004), 1–24.
54. [54] de Borst, R., Remmers, J.J.C., Computational modelling of delamination. Compos Sci Technol 66 (2006), 713–722.
55. [55] Yang, Z., Xu, X.F., A heterogeneous cohesive model for quasi-brittle materials considering spatially varying random fracture properties. Comput Methods Appl Mech Eng 197 (2008), 4027–4039.
56. [56] Ziętkowski, L., Investigations of splitting of rock and concrete blocks using electro-hydraulic method. PhD thesis, 2007, AGH Kraków.
57. [57] Molinari, J.F., Gazonas, G., Raghupathy, R., Rusinek, A., Zhou, F., The cohesive element approach to dynamic fragmentation: the question of energy convergence. Int J Numer Methods Eng 69 (2007), 484–503.
58. [58] Qiang, T.C., Kou, X.D., Zhou, W.Y., Threedimensional FEM interface coupled method and its application to arch dam fracture analysis. Chin J Rock Mech Eng 19 (2000), 562–566.
59. [59] Willam, K., Rhee, I., Shing, B., Interface damage model for thermomechanical degradation of heterogeneous materials. Comput Methods Appl Mech Eng 193 (2004), 3327–3350.
60. [60] López, C.M., Carol, I., Aguado, A., Meso-structural study of concrete fracture using interface elements. I: Numerical model and tensile behavior. Mater Struct 41 (2008), 583–599.
61. [61] Bažant, Z.P., Yu, Qiang, Size effect testing of cohesive fracture parameters and non-uniqueness of work-of-fracture method. ASCE J Eng Mech 137 (2011), 580–588.
62. [62] Su, X.T., Yang, Z.J., Liu, G.H., Monte Carlo simulation of complex cohesive fracture in random heterogeneous quasibrittle materials: a 3D study. Int J Solids Struct 47 (2010), 2336–2345.
63. [63] Yang, Z.J., Su, X.T., Chen, J.F., Liu, G.H., Monte Carlo simulation of complex cohesive fracture in random heterogeneous quasibrittle materials. Int J Solids Struct 46 (2009), 3222–3234.
64. [64] He, H., Guo, Z., Stroeven, P., Stroeven, M., Sluys, L.J., Influence of particle packing on elastic properties of concrete. Proc first international conference on computational technologies in concrete structures (CTCS’09), 2009, 1177–1197.
65. [65] He, H., Computational modeling of particle packing in concrete. PhD thesis, 2010, TU Delft.
66. [66] Du, C., Sun, L., Jiang, S., Ying, Z., Numerical simulation of aggregate shapes of three-dimensional concrete and its applications. J Aerosp Eng, 2013, 515–527.