1 |
ABAQUS Theory Manual, (2004), Hibbit, Karlsson & Sorensen Inc.
|
2 |
Azevedo, M.N., Lemos, J.V. and de Almeida, J.R. (2008), "Influence of aggregate deformation and contact behavior on discrete particle modeling of fracture of concrete", Eng. Fract. Mech., 75(6), 1569-1586.
DOI
|
3 |
Bazant, Z.P. (1978), "Spurious reflection of elastic waves in non-uniform finite element grids", Comput. Method. Appl. M., 16, 91-100.
DOI
|
4 |
Bazant, Z.P. and Planas, J. (1998), Fracture and Size Effect in Concrete and Other Quasi-brittle Materials, CRC Press LLC.
|
5 |
Bazant, Z.P., Caner, F.C., Adley, M.D. and Akers, S.A. (2000), "Fracturing rate effect and creep in microplane model for dynamics", J. Eng. Mech. ASCE, 126, 9, 962-970.
|
6 |
Bazant, Z.P. and Jirasek, M. (2002), "Nonlocal integral formulations of plasticity and damage: survey of progress", J. Eng. Mech., 128(11), 1119-1149.
DOI
|
7 |
Bazant, Z.P. and Caner, F.C. (2013), "Dynamic comminution of quasibrittle solids at high-rate shear under impact and analogy with turbulence", Proceeding of the Third International Conference on Computational Modeling of Fracture and Failure of Materials and Structures, CFRAC 2013, Prague, Czech Republic, 5-7.06.2013.
|
8 |
Bischoff, P.H. and Perry, S.H. (1991), "Compressive behaviour of concrete at high strain rates", Mat. Struct., 24, 425-450.
DOI
|
9 |
Bischoff, P.H. and Perry, S. H. (1995), "Impact behaviour of plain concrete loaded in uniaxial compression", J. Eng. Mech. Div ASCE, 121, 6.
|
10 |
Bobinski, J. and Tejchman, J. (2004), "Numerical simulations of localization of deformation in quasi brittle materials within non-local softening plasticity", Comput. Concr., 4, 433-455.
|
11 |
Bobinski, J. and Tejchman, J. (2013), "A coupled continuous and discontinuous approach to concrete elements", Proc. VIII International Conference on Fracture Mechanics of Concrete and Concrete Structures FraMCoS-8 (eds.: J.G.M. van Mier, G. Ruiz, C. Andrade, R.C. Yu nd X.X. Zhang), Toledo, Spain, 11-15.03.2013.
|
12 |
Brara, A. and Klepaczko, J.R. (2006), "Experimental characterization of concrete in dynamic tension", Mech. Mater., 38, 253-267.
DOI
|
13 |
Brinkgreve, R.B. (1994), "Geomaterial models and numerical analysis of softening", Ph.D. Dissertation, Delft University of Technology, Delft.
|
14 |
CEB-FIP Model Code 1990. (1993), Thomas Telford, London.
|
15 |
Cervera, M., Olivier, J. and Manzoli, O. (1996), "A rate-dependent isotropic damage model for the seismic analysis of concrete dams", Earthq. Eng. Struct. Dyn., 25, 987-101.
DOI
|
16 |
de Borst, R. and Sluys, L.J. (1991), "Localization in a cosserat continuum under static and dynamic loading conditions", Comput.Method. Appl. M., 90, 1-3, 805-827.
DOI
|
17 |
Denoual C. (1998), "Approche probabiliste du comportement l'impact du carbure de silicium: application aux blindages moyens", Ph.D. Dissertation, ENS de Cachan.
|
18 |
Denoual, C. and Hild, F. (2000), "A damage model for the dynamic fragmentation of brittle solids", Comp. Meth. Apll. Mech. Eng., 183, 247-258.
DOI
|
19 |
Duvaut, G. and Lions, J.L. (1972), Les Inequations en Mecanique et en Physique, Dunod, Paris.
|
20 |
Drucker, D.C. and Prager, W. (1952), "Soil mechanics and plasticity analysis of limit design", Quart. J. Appl. Math., 10, 157-162.
DOI
|
21 |
Eibl, J. and Schmidt-Hurtienne, B. (1999), "Strain-rate-sensitive constitutive law for concrete", J. Eng. Mech., 125, 1411-1420.
DOI
|
22 |
Ferrara, I. and di Prisco, M. (2001), "Mode I fracture behaviour in concrete: nonlocal damage modelling", ASCE J. Eng. Mech., 127(7), 678-692.
DOI
|
23 |
fib. Model Code 2010 (2012), Final draft, fib Bulletin 65.
|
24 |
Gary, G. (1990), Essais a Grande Vitesse sur Beton. Problemes Specifiques, Scientifique Rapport GRECO (edite par J. M. Reynouard).
|
25 |
Gatuingt, F. and Pijaudier-Cabot, G. (2002), "Coupled damage and plasticity modelling in transient dynamic analysis of concrete", Int. J. Numer. Anal. Meth. Geomech., 26, 1-24.
DOI
|
26 |
Georgin, J.F. and Reynouard, J.M. (2003), "Modelling of structures subjected to impact: concrete behaviour under high strain rate", Cement Concrete Compos., 25, 131-143.
DOI
|
27 |
Grady, D. (2008), "Fragment size distributions from the dynamic fragmentation of brittle solids", Int. J. Imp. Eng., 35, 1557-1562.
DOI
|
28 |
Haussler-Combe, U. and Kuhn, T. (2012a), "Failure modelling of concrete with a novel strain rate sensitive viscoelastic retarded damage material formulation", European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), J. Eberhardsteiner et.al. (eds.), Vienna, Austria, 2012.
|
29 |
Haussler-Combe, U. and Kuhn, T. (2012b), "Modeling of strain rate effects for concrete with viscoelasticity and retarded damage", Int. J. Impact. Eng., 50, 17-28.
DOI
|
30 |
Hentz, S., Daudeville, L. and Donze, F. (2004), "Identification and validation of a discrete element model for concrete", J. Eng. Mech., 130(6), 709-719.
DOI
|
31 |
Hughes, T.J.R. and Winget, J. (1980), "Finite rotation effects in numerical integration of rate constitutive equations arising in large deformation analysis", Int. J. Numer. M. Eng., 15, 1862-1867.
DOI
|
32 |
Jankowiak, T. (2009), "Failure criteria under quasi-static and dynamic loads", Ph.D. Dissertation, Poznan University of Technology, Poznan.
|
33 |
Jankowiak, T., Rusinek, A. and Lodygowski, T. (2011). "Validation of the klepaczko-malinowski model for friction correction and recommendations on split hopkinson pressure bar", Finite Elem. Anal. Des., 47(10), 1191-1208.
DOI
|
34 |
Jirasek, M., and Rolshoven, S. (2006), "Comparison of integral-type nonlocal plasticity models for strainsoftening materials", Int. J. Eng. Sci., 41, 13-14, 1553-1602.
DOI
|
35 |
Lee, J., and Fenves, G.L. (1998), "Plastic-damage model for cyclic loading of concrete structures", J. Eng. Mech., 124(8), 892-900.
DOI
|
36 |
Majewski, T., Bobinski, J. and Tejchman, J. (2008), "FE-analysis of failure behaviour of reinforced concrete columns under eccentric compression", Eng. Struct., 30(2), 300-317.
DOI
|
37 |
Malvar, L. J. and Ross, C.A. (1998), "Review of strain rate effects for concrete in tension", ACI Mater. J., 95, 735-739.
|
38 |
Marzec, I., Bobinski, J. and Tejchman, J. (2007), "Simulations of crack spacing in reinforced concrete beams using elastic-plasticity and damage with non-local softening", Comput. Concr., 4(5), 377-403.
DOI
ScienceOn
|
39 |
Menetrey, P. and Willam, K.J. (1995), "Triaxial failure criterion for concrete and its generalization", ACI Struct. J., 92(3), 311-318.
|
40 |
Moonen, P., Carmeliet, J. and Sluys, L.J. (2008), "A continuous-discontinuous approach to simulate fracture processes", Philos. Mag., 88, 3281-3298.
DOI
ScienceOn
|
41 |
Nagtegaal, J. C., Parks, D. M. and Rice J. R. (1977), "On numerically accurate finite element solutions in the fully plastic range", Comput. Method. Appl. M., 4, 153-177.
|
42 |
Nemes, J.A. and Speciel, E. (1996), "Use of a rate-dependent continuum damage model to describe strainsoftening in laminated composites", Comput. Struct., 58, 1083-1092.
DOI
|
43 |
Ortiz, M. and Simo, I.C. (1986), "An analysis of a new class of integration algorithms for elastoplastic constitutive relation", Int. I. Num. Method. Eng., 23, 353-366.
DOI
|
44 |
Ozbolt, J. and Reinhardt, H.W. (2005), "Rate dependent fracture of notched plain concrete beams", Proceedings of the 7th international conference CONCREEP-7, (ed. by Pijaudier Cabot, Gerard & Acker), 57-62.
|
45 |
Ozbolt, J., Sharma, A. and Reinhardt, H-W. (2011), "Dynamic fracture of concrete compact tension specimen", Int. J. Solid. Struct., 48(10), 1534-1543.
DOI
|
46 |
Pajak, M. (2011), "The influence of the strain rate on the strength of concrete taking into account the experimental techniques", Architect. Civ. Eng.-Environ. J. (ACEE), 3, 77-86.
|
47 |
Pedersen, R.R., Simone, A. and Sluys, L.J. (2008), "An analysis of dynamic fracture in concrete with continuum visco-elastic visco-plastic damage model", Eng. Fract. Mech., 75, 3782-3805.
DOI
|
48 |
Pedersen, R.R. (2009), "Computational modelling of dynamic failure of cementitious materials", Ph.D. Dissertation, TU Delft, Delft.
|
49 |
Perzyna, P. (1966), "Fundamental problems in viscoplasticity", Adv. Appl. Mech., Academic Press, 9, 243-377.
DOI
|
50 |
Pijaudier-Cabot, G. and G., Bazant, Z.P. (1987), "Nonlocal damage theory", ASCE J. Eng. Mech., 113, 1512-1533.
DOI
|
51 |
Pijaudier-Cabot, G., Haidar, K. and Dube, J.F. (2004), "Non-local damage model with evolving internal length", Int. J. Numer. Anal. M., 28, 633-652.
DOI
|
52 |
Polizzotto, C., Borino, G. and Fuschi, P. (1998), "A thermodynamic consistent formulation of nonlocal and gradient plasticity", Mech. Res. Communic., 25, 75-82.
DOI
|
53 |
Ragueneau, F. and Gatuingt, F. (2003), "Inelastic behaviour modelling of concrete in low and high strain rate dynamics", Comput. Struct., 81, 1287-1299.
DOI
|
54 |
Rankine, W.J.M. (1858), A Manual of Applied Mechanics, London and Glasgow: Richard Griffin and Company, Publishers to the University of Glasgow.
|
55 |
Rossi, P. (1991), "A physical phenomenon which can explain the mechanical behaviour of concrete under high strain rates", Mater. Struct., 24, 422-424.
DOI
|
56 |
Roth, S., Oudry, J., El-Rich, M. and Shakourzadeh, H. (2009), "Influence of mesh density on a finite element model's response under dynamic loading", J. Biol. Phys. Chem., 9, 210-219.
DOI
|
57 |
Rousseau, J., Frangin, E., Marin, P. and Daudeville, L. (2009), "Multidomain finite and discrete elements method for impact analysis of a concrete structure", Eng. Struct., 31(11), 2735-2743.
DOI
|
58 |
Sercombe, J., Ulm, F.J. and Mang, H.A. (2000), "Consistent return mapping algorithm for chemoplastic constitutive laws with internal couplings", Int. J. Numer. Meth. Eng., 47, 75-100.
DOI
|
59 |
Simone, A. (2003), "Continuous-discontinuous modelling of failure", Ph.D. Dissertation, TU Delft, Delft.
|
60 |
Skarzynski, L. and Tejchman, J. (2010), "Calculations of fracture process zones on meso-scale in notched concrete beams subjected to three-point bending", European J. Mech. A Solid, 29, 746-760.
DOI
|
61 |
Skarzynski, L., Syroka, E. and Tejchman, J. (2011), "Measurements and calculations of the width of the fracture process zones on the surface of notched concrete beams", Strain, 47, e319-e332.
DOI
ScienceOn
|
62 |
Sluys, L.J. and de Borst R. (1992), "Wave propagation and localization in a rate-dependent cracked mediummodel formulation and one-dimensional examples", Int. J. Solid Struct., 29, 2945-58.
DOI
|
63 |
Stromberg, L. and Ristinmaa, M. (1996), "FE-formulation of nonlocal plasticity theory", Comput. Method. Appl. M., 136, 127-144.
DOI
|
64 |
Suaris, W. and Shah, S.P. (1984), "Rate-sensitive damage theory for brittle materials", J. Eng. Mech., 110, 985-997.
DOI
|
65 |
Syroka, E., Tejchman, J. and Mroz, Z. (2013), "FE calculations of a deterministic and statistical size effect in concrete under bending within stochastic elasto-plasticity and non-local softening", Eng. Struct., 48, 205-219.
DOI
|
66 |
Syroka-Korol, E. and Tejchman, J. (2013), "Experimental investigations of size effect in reinforced concrete beams failing by shear", Eng. Struct., http://dx.doi.org/10.1016/j.engstruct.2013.10.012.
DOI
|
67 |
Tejchman, J. and Bobinski, J. (2013), Continuous and Discontinuous Modelling of Fracture in Concrete Using FEM, Springer, Berlin-Heidelberg, Germany.
|
68 |
Vermeer, P.A. and Brinkgreve, R.B.J. (1994), "A new effective non-local strain-measure for softening plasticity", Localisation and Bifurcation Theory for Soils and Rocks (edited by: Chambon, R., Desrues, J. and Vardoulakis, I.), Balkema, 89-100.
|
69 |
Werner, S. and Thienel, K.-Ch. (2011), "Influence of impact velocity on the fragment formation of concrete specimens", Int. Conference Particles, 211-221, Barcelona.
|
70 |
Wang, W.M., Sluys, L.J. and de Borst, R. (1997), "Viscoplasticity for instabilities due to strain softening and strain-rate softening", Int. J. Numer. Meth. Eng., 40, 3839-64.
DOI
|
71 |
Winnicki, A. (2007), "Viscoplastic and internal discontinuity models in analysis of structural concrete", Habilitation Monograph, Cracow University of Technology, Cracow.
|
72 |
Winnicki, A., Pearce, C.J., Bicanic, N. (2001), "Viscoplastic Hoffman consistency model for concrete", Comput. Struct., 79, 7-19.
DOI
|
73 |
Zheng, D. and Li, Q. (2004), "An explanation for rate effect of concrete strength based on fracture toughness including free water viscosity", Eng. Fract. Mech., 71, 2319-2327.
DOI
|
74 |
Zhang, X.X., Ruiz, G., Yu, G.R.C. and Tarifa, M. (2009), "Fracture behaviour of high strength concrete at a wide range of loading rates", Int. J. Impact. Eng., 36, 1204-1209.
DOI
|
75 |
Yan, D. and Lin, G. (2006), "Dynamic properties of concrete in direct tension", Cement Concrete Res., 36, 1371-1378.
DOI
|