1 |
Ananiev, S. and Ozbolt, J. (2004), "Plastic damage model for concrete in principal directions", in V. Li, C. Leung, K. Willam, & S. Billington (Eds.), Fracture Mech. Concrete Struct., 271-278.
|
2 |
Barenblatt, G. (1962), "The mathematical theory of equilibrium of cracks in brittle fracture", Adv. Appl. Mech., 7, 55-129.
DOI
|
3 |
Bazant, Z.P., Tabbara, M.R., Kazemi, M.T. and Pijaudier-Cabot, G. (1990), "Random particle model for fracture of aggregate or fiber composites", J. Eng. Mech., 116(8), 1686-1705.
DOI
|
4 |
Carol, I., Lopez, M. and Roa, O. (2002), "Micromechanical analysis of quasi-brittle materials using fracturebased interface elements", Int. J. Numer. Meth. Eng., 52(1-2), 193-215.
|
5 |
Carol, I., Rizzi, E. and Willam, K. (2001), "On the formulation of anisotropic elastic degradation : II. Generalized pseudo-rankine model for tensile damage", Int. J. Solids Struct., 38(4), 519-546.
DOI
ScienceOn
|
6 |
Carpinteri, A. and Chiaia, B. (1995), "Multifractal nature of concrete fracture surfaces and size effects on nominal fracture energy", Materiaux et Constructions, 28(182), 435-443.
|
7 |
Chiaia, B., Vervuurt, A. and Van Mier, J. (1997), "Lattice model evaluation of progressive failure in disordered particle composites", Eng, Fract. Mech., 57(2-3), 301-318.
DOI
ScienceOn
|
8 |
d'Addetta, G. A. (2002), Discrete models for cohesive fricional materials, Ph.D. thesis, University of Stuttgart, Institute for Structural Mechanics.
|
9 |
Dugdale, D. (1960), "Yielding of sheets containing slits", J. Mech. Phy. Solids, 8, 100-104.
DOI
ScienceOn
|
10 |
Eckardt, S. and Konke, C. (2006), "Simulation of damage in concrete structures using multiscale methods", in N. Bianic, R. de Borst, H. Mang, & G. Meschke (Eds.), Proceedings Intern. Conf. on Computational Modelling of Concrete Structures (EURO-C 2006).
|
11 |
Eckardt, S. and Konke, C. (2008), "Adaptive damage simulation of concrete using heterogeneous multiscale models", J. Algorithms Comput. Tech., 2(2), 275-297.
DOI
ScienceOn
|
12 |
Feldkamp, L.A., Goldstein, S.A., Parfitt, A.M., Jesion, G. and Kleerekoper, M. (1989), "The direct examination of three-dimensional bone architecture in vitro by computed tomography", J. Bone Miner. Res., 4(1), 3-11.
|
13 |
Garboci, E. (2002), "Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: application to aggregates used in concrete", Cement Concrete Res., 32, 1621-1638.
DOI
ScienceOn
|
14 |
Grassl, P. and Bazant, Z.P. (2009), "Random lattice-particle simulation of statistical size effect in quasi-brittle structures failing at crack initiation", J. Eng. Mech., 135(2), 85-92.
DOI
ScienceOn
|
15 |
URL http://link.aip.org/link/?QEM/135/85/1.
|
16 |
Grassl, P. and Jirasek, M. (2004), "Damage-plastic model for concrete failure", Int. J. Solids Struct., 43(22-23), 7166-7196.
|
17 |
Grassl, P. and Jirasek, M. (2006), "Plastic model with non-local damage applied to concrete", Int. J. Numer. Anal. Meth. Geomech., 30(1), 71-90.
DOI
ScienceOn
|
18 |
Grassl, P. and Jirasek, M. (2010), "Meso-scale approach to modelling the fracture process zone of concrete subjected to uniaxial tension", Int. J. Solids Struct., 47(7-8), 957-968.
DOI
ScienceOn
|
19 |
Hafner, S., Eckardt, S. and Konke, C. (2003), "A geometrical inclusion-matrix model for the finite element analysis of concrete at multiple scales", Proceedings of the 16th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar.
|
20 |
Hafner, S., Eckardt, S., Luther, T. and Konke, C. (2006), "Mesoscale modeling of concrete: geometry and numerics", Comput. Struct., 84(7), 450-461.
DOI
ScienceOn
|
21 |
Hansen, E., Willam, K. and Carol, I. (2001), "A two-surface anisotropic damage/plasticity model for plain concrete", in R. de Borst, J. Mazars, G. Pijaudier-Cabot, & J. van Mier (Eds.), Fract. Mech. Concrete Struct., 549-556.
|
22 |
Hillerborg, A., Modeer, M. and Petersson, P. (1976), "Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements", Cement Concrete Res., 6, 773-782.
DOI
ScienceOn
|
23 |
Hollister, S.J. and Kikuchi, N. (1994), "Homogenization theory and digital imaging: a basis for studying the mechanics and design principles of bone tissue", Biotech. Bioeng., 43(7), 586-596.
DOI
ScienceOn
|
24 |
Hook, D. and McAree, P. (1990), Graphics gems, chap. Using sturm sequences to bracket real roots of polynomial equations, 416-422, San Diego, CA, USA, Academic Press Professional, Inc.
|
25 |
Jason, L., Huerta, A., Pijaudier-Cabot, G. and Ghavamian, S. (2006), "An elastic plastic damage formulation for concrete: application to elementary tests and comparison with an isotropic damage model", Comput. Method. Appl. M., 195(52), 7077-7092.
DOI
ScienceOn
|
26 |
Jirasek, M. (1998), "Nonlocal models for damage and fracture: comparison of approaches", Int. J. Sol. Struct., 35(31-32), 4133-4145.
DOI
ScienceOn
|
27 |
Ju, J. (1989), "On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects", Int. J. Solids Struct., 25(7), 803-833.
DOI
ScienceOn
|
28 |
Kessler-Kramer, C. (2002), Zugtragverhalten von Beton unter Ermüdungsbeanspruchung, Ph.D. thesis, Universität Karlsruhe (TH), Germany.
|
29 |
Krayani, A., Pijaudier-Cabot, G. and Dufour, F. (2009), "Boundary effect on weight function in nonlocal damage model", Eng. Fract. Mech., 76(14), 2217-2231.
DOI
ScienceOn
|
30 |
Leite, J., Slowik, V. and Mihashi, H. (2004), "Computer simulation of fracture processes of concrete using mesolevel models of lattice structures", Cement Concrete Res., 34(6), 1025-1033.
DOI
ScienceOn
|
31 |
Leite, J.P.B., Slowik, V. and Apel, J. (2007), "Computational model of mesoscopic structure of concrete for simulation of fracture processes", Comput. Struct., 85(17-18), 1293-1303.
DOI
ScienceOn
|
32 |
Lubliner, J., Oliver, J., Oller, S. and Onate, E. (1989), "A plastic damage model for concrete", Int. J. Solids Struct., 25(3), 299-326.
DOI
ScienceOn
|
33 |
Reuss, A. (1929), "Berechnung der von Mischkristallen auf Grund der Plastizitatsbedingung fur Einkristalle", Zeitschrift fur Angewandte Mathematikund Mechanik, 9(1), 49-58.
DOI
|
34 |
Nagai, G., Yamada, T. and Wada, A. (2000), "Three-dimensional nonlinear finite element analysis of the macroscopic compressive failure of concrete materials based on real digital image", Comp. Civil Build. Eng., 1, 449-456.
|
35 |
Nagano, Y., Ikeda, Y. and Kawamoto, H. (2004), "Application of 3D X-RAY CT to stress simulation analysis of porous materials with homogenization method", in C. Miyasaka, Y. Yokono, D. Bray, & Cho (Eds.), ASME/JSME Pressure Vessels and Piping Conference, San Diego, 484, 141-146.
|
36 |
Ortiz, M. and Pandolfi, A. (1999), "Finite-deformation irreversible cohesive elements for three-dimensional crackpropagation analysis", Int. J. Numer. Meth. Eng., 44(9), 1267-1282.
DOI
ScienceOn
|
37 |
Schlangen, E. (1993), Experimental and numerical analysis of fracture processes in concrete, Ph.D. thesis, Delft University of technology.
|
38 |
Schlangen, E. and van Mier, J.G.M. (1992), "Simple lattice model for numerical simulation of fracture of concrete materials and structures", Mater. Struct., 25(9), 534-542.
DOI
|
39 |
Simo, J. and Hughes, T. (1997), Computational inelasticity, Springer-Verlag.
|
40 |
Sukumar, N., Chopp, D., MoBes, N. and Belytschko, T. (2001), "Modelling holes and inclusions by level sets in the extended finite-element method", Comput. Method. Appl. M., 190, 6183-6200.
DOI
ScienceOn
|
41 |
Takano, N., Kimura, K., Zako, M. and Kubo, F. (2003), "Multi-scale analysis and microscopic stress evaluation for ceramics considering the random microstructures", JSME Int. J. Series A - Solid M., 46(4), 527-535.
DOI
ScienceOn
|
42 |
Tvergaard, V. (2003), "Cohesive zone representation of failure between elastic or rigid solids and ductile solids", Eng. Fract. Mech., 70, 1859-1868.
DOI
ScienceOn
|
43 |
Wang, W., Jiaye, W. and Myung-Soo, K. (2001), "An algebraic condition for the separation of two ellipsoids", Comput. Aided Geom. D., 18(6), 531-539.
DOI
ScienceOn
|
44 |
Unger, J.F. and Konke, C. (2006), "Simulation of concrete using the extended finite element method", in N. Bicanic, R. de Borst, H. Mang, & G. Meschke (Eds.), Proceedings Int. Conf. on Computational Modelling of Concrete Structures (EURO-C 2006), 239-247, Balkema.
|
45 |
van Vliet, M.R.A. and van Mier, J.G.M. (1995), "Softening behavior of concrete under uniaxial compression", in F. Wittman (Ed.), Fracture mechanics of concrete structures (FraMCoS-2, Zurich), 383-396.
|
46 |
Vervuurt, A. (1997), Interface fracture in concrete, Ph.D. thesis, Delft University of technology.
|
47 |
Wang, Z., Kwan, A. and Chan, H. (1999), "Mesoscopic study of concrete I: Generation of random aggregate structure and finite element mesh", Comput. Struct., 70(5), 533-544.
DOI
ScienceOn
|
48 |
Wittmann, F.H., Roelfstra, P.E. and Sadouki, H. (1985), "Simulation and analysis of composite structures", Mater. Sci. Eng., 68(2), 239-248.
DOI
ScienceOn
|
49 |
Wriggers, P. and Moftah, S.O. (2006), "Mesoscale models for concrete: homogenisation and damage behaviour", Finite Elem. Anal. Des., 42(7), 623-636.
DOI
ScienceOn
|
50 |
Zaitsev, Y.B. and Wittmann, F.H. (1981), "Simulation of crack propagation and failure of concrete", Mater. Struct., 14(5), 357-365.
|