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Volumn 70, Issue 14, 2003, Pages 1809-1839

Cohesive crack model description of ductile to brittle size-scale transition: Dimensional analysis vs. renormalization group theory

Author keywords

Cohesive crack; Concrete; Fractal geometry; Size effect

Indexed keywords

BRITTLENESS; CONCRETES; CRACKS; DUCTILITY; FAILURE (MECHANICAL); TENSILE STRENGTH; TENSILE TESTING;

EID: 0038604259     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(03)00126-7     Document Type: Article
Times cited : (76)

References (131)
  • 1
    • 0038549437 scopus 로고
    • What do we know about the plastic deformation and creep of concrete?
    • L'Hermite R. What do we know about the plastic deformation and creep of concrete? RILEM Bull. 1 1959 22-51
    • (1959) RILEM Bull. , vol.1 , pp. 22-51
    • L'Hermite, R.1
  • 3
    • 0002151946 scopus 로고
    • The complete stress-strain curve for concrete in direct tension
    • Hughes B.P. Chapman B.P. The complete stress-strain curve for concrete in direct tension RILEM Bull. 30 1966 95-97
    • (1966) RILEM Bull. , vol.30 , pp. 95-97
    • Hughes, B.P.1    Chapman, B.P.2
  • 4
    • 51649175847 scopus 로고
    • Microcracking and stress-strain curves for concrete in tension
    • Evans R.H. Marathe M.S. Microcracking and stress-strain curves for concrete in tension Mater. Struct. 1 1968 61-64
    • (1968) Mater. Struct. , vol.1 , pp. 61-64
    • Evans, R.H.1    Marathe, M.S.2
  • 5
    • 0000741477 scopus 로고
    • Some implications of work-hardening and ideal plasticity
    • Drucker D.C. Some implications of work-hardening and ideal plasticity Quart. Appl. Math. 7 1950 411-418
    • (1950) Quart. Appl. Math. , vol.7 , pp. 411-418
    • Drucker, D.C.1
  • 6
    • 0002555449 scopus 로고
    • Behaviour of elastic-plastic trusses with unstable bars
    • Maier G. Behaviour of elastic-plastic trusses with unstable bars J. Engng. Mech. (ASCE) 92 1966 67-91
    • (1966) J. Engng. Mech. (ASCE) , vol.92 , pp. 67-91
    • Maier, G.1
  • 7
    • 0015051713 scopus 로고
    • Incremental plastic analysis in the presence of large displacements and physical instabilizing effects
    • Maier G. Incremental plastic analysis in the presence of large displacements and physical instabilizing effects Int. J. Solids Struct. 7 1971 345-372
    • (1971) Int. J. Solids Struct. , vol.7 , pp. 345-372
    • Maier, G.1
  • 10
    • 49949129710 scopus 로고
    • Analysis of prestressed concrete pressure vessels
    • Rashid Y.R. Analysis of prestressed concrete pressure vessels Nucl. Engng. Des. 7 1968 334-355
    • (1968) Nucl. Engng. Des. , vol.7 , pp. 334-355
    • Rashid, Y.R.1
  • 13
    • 0003311028 scopus 로고
    • Fracture mechanics of concrete: Concepts, models and determination of material properties
    • Z. P. Bažant (Ed.), The Netherlands: Elsevier Applied Science
    • Bažant Z.P. Gopalaratnam V.S. Fracture mechanics of concrete: concepts, models and determination of material properties Bažant Z.P. Fracture mechanics of concrete structures 1992 1-140 Elsevier Applied Science The Netherlands
    • (1992) Fracture Mechanics of Concrete Structures , pp. 1-140
    • Bažant, Z.P.1    Gopalaratnam, V.S.2
  • 14
    • 0009231269 scopus 로고
    • The formation of equilibrium cracks during brittle fracture: General ideas and hypotheses
    • Barenblatt G.I. The formation of equilibrium cracks during brittle fracture: general ideas and hypotheses J. Appl. Math. Mech. 23 1959 622-636
    • (1959) J. Appl. Math. Mech. , vol.23 , pp. 622-636
    • Barenblatt, G.I.1
  • 15
    • 77649193465 scopus 로고
    • The mathematical theory of equilibrium cracks in brittle fracture
    • Barenblatt G.I. The mathematical theory of equilibrium cracks in brittle fracture Adv. Appl. Mech. 7 1962 55-129
    • (1962) Adv. Appl. Mech. , vol.7 , pp. 55-129
    • Barenblatt, G.I.1
  • 16
    • 50549180512 scopus 로고
    • Yielding of steel sheets containing slits
    • Dugdale D.S. Yielding of steel sheets containing slits J. Mech. Phys. Solids 8 1960 100-114
    • (1960) J. Mech. Phys. Solids , vol.8 , pp. 100-114
    • Dugdale, D.S.1
  • 18
    • 0001526247 scopus 로고
    • A comparison of the fracture criteria of Griffith and Barenblatt
    • Willis J.R. A comparison of the fracture criteria of Griffith and Barenblatt J. Mech. Phys. Solids 15 1967 151-162
    • (1967) J. Mech. Phys. Solids , vol.15 , pp. 151-162
    • Willis, J.R.1
  • 19
    • 84980287971 scopus 로고
    • A path independent integral and the approximate analysis of strain concentration by notches and cracks
    • Rice J.R. A path independent integral and the approximate analysis of strain concentration by notches and cracks J. Appl. Mech. 15 1968 379-386
    • (1968) J. Appl. Mech. , vol.15 , pp. 379-386
    • Rice, J.R.1
  • 20
    • 0016034446 scopus 로고
    • Quasi-static extension of a tensile crack contained in viscoelastic-plastic solid
    • Wnuk M.P. Quasi-static extension of a tensile crack contained in viscoelastic-plastic solid J. Appl. Mech. 41 1974 234-242
    • (1974) J. Appl. Mech. , vol.41 , pp. 234-242
    • Wnuk, M.P.1
  • 21
    • 0004725612 scopus 로고
    • Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
    • Hillerborg A. Modeer M. Petersson P.E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements Cem. Concr. Res. 6 1976 773-782
    • (1976) Cem. Concr. Res. , vol.6 , pp. 773-782
    • Hillerborg, A.1    Modeer, M.2    Petersson, P.E.3
  • 22
    • 0020840790 scopus 로고
    • Prediction of non-linear fracture process zone in concrete
    • Wecharatana M. Shah S.P. Prediction of non-linear fracture process zone in concrete J. Engng. Mech. (ASCE) 109 1983 1231-1246
    • (1983) J. Engng. Mech. (ASCE) , vol.109 , pp. 1231-1246
    • Wecharatana, M.1    Shah, S.P.2
  • 23
    • 0041056425 scopus 로고
    • Technical Report 81-10/665c, Center for Concrete and Geomaterials, Northwestern University
    • Bažant ZP, Oh BH. Concrete fracture via stress-strain relations. Technical Report 81-10/665c, Center for Concrete and Geomaterials, Northwestern University, 1981
    • (1981) Concrete Fracture Via Stress-strain Relations
    • Bažant, Z.P.1    Oh, B.H.2
  • 25
    • 0003113349 scopus 로고
    • Interpretation of the Griffith instability as a bifurcation of the global equilibrium
    • S. P. Shah (Ed.), The Netherlands: Martinus Nijhoff
    • Carpinteri A. Interpretation of the Griffith instability as a bifurcation of the global equilibrium Shah S.P. Application of fracture mechanics to cementitious composites 1985 284-316 Martinus Nijhoff The Netherlands
    • (1985) Application of Fracture Mechanics to Cementitious Composites , pp. 284-316
    • Carpinteri, A.1
  • 26
    • 0024883904 scopus 로고
    • Cusp catastrophe interpretation of fracture instability
    • Carpinteri A. Cusp catastrophe interpretation of fracture instability J. Mech. Phys. Solids 37 1989 567-582
    • (1989) J. Mech. Phys. Solids , vol.37 , pp. 567-582
    • Carpinteri, A.1
  • 27
    • 0024944108 scopus 로고
    • Decrease of apparent tensile and bending strength with specimen size: Two different explanations based on fracture mechanics
    • Carpinteri A. Decrease of apparent tensile and bending strength with specimen size: two different explanations based on fracture mechanics Int. J. Solids Struct. 25 1989 407-429
    • (1989) Int. J. Solids Struct. , vol.25 , pp. 407-429
    • Carpinteri, A.1
  • 28
    • 0024862124 scopus 로고
    • Post-peak and post-bifurcation analysis on cohesive crack propagation
    • Carpinteri A. Post-peak and post-bifurcation analysis on cohesive crack propagation Engng. Fract. Mech. 32 1989 265-278
    • (1989) Engng. Fract. Mech. , vol.32 , pp. 265-278
    • Carpinteri, A.1
  • 29
    • 0002083040 scopus 로고
    • Influence of material parameters and geometry on cohesive crack propagation
    • F. H. Wittmann (Ed.), : Elsevier Science Publisher
    • Carpinteri A. Di Tommaso A. Fanelli M. Influence of material parameters and geometry on cohesive crack propagation Wittmann F.H. Fracture toughness and fracture energy of concrete 1985 117-135 Elsevier Science Publisher
    • (1985) Fracture Toughness and Fracture Energy of Concrete , pp. 117-135
    • Carpinteri, A.1    Di Tommaso, A.2    Fanelli, M.3
  • 30
    • 0037535319 scopus 로고
    • Accuracy of the numerical description of cohesive crack propagation
    • F. H. Wittmann (Ed.), : Elsevier Science Publisher
    • Carpinteri A. Colombo G. Giuseppetti G. Accuracy of the numerical description of cohesive crack propagation Wittmann F.H. Fracture toughness and fracture energy of concrete 1985 189-195 Elsevier Science Publisher
    • (1985) Fracture Toughness and Fracture Energy of Concrete , pp. 189-195
    • Carpinteri, A.1    Colombo, G.2    Giuseppetti, G.3
  • 31
    • 0037535321 scopus 로고
    • Experimental evaluation of concrete fracture energy through a new identification method
    • F. H. Wittmann (Ed.), : Elsevier Science Publisher
    • Carpinteri A. Di Tommaso A. Ferrara G. Melchiorri G. Experimental evaluation of concrete fracture energy through a new identification method Wittmann F.H. Fracture toughness and fracture energy of concrete 1985 423-436 Elsevier Science Publisher
    • (1985) Fracture Toughness and Fracture Energy of Concrete , pp. 423-436
    • Carpinteri, A.1    Di Tommaso, A.2    Ferrara, G.3    Melchiorri, G.4
  • 32
    • 0038210659 scopus 로고
    • Numerical modeling of mixed-mode cohesive crack propagation
    • S. N. Atluri, G. Yagawa (Eds.), 12.vi.1-12.vi.2 : Springer Verlag
    • Carpinteri A. Valente S. Numerical modeling of mixed-mode cohesive crack propagation Atluri S.N. Yagawa G. International conference on computational engineering science 1988 12.vi.1-12.vi.2 Springer Verlag
    • (1988) International Conference on Computational Engineering Science
    • Carpinteri, A.1    Valente, S.2
  • 33
    • 0026927097 scopus 로고
    • Bifurcations and instabilities in fracture of cohesive-softening structures: A boundary elements analysis
    • Cen Z. Maier G. Bifurcations and instabilities in fracture of cohesive-softening structures: a boundary elements analysis Fatigue Fract. Engng. Mater. Struct. 15 1992 911-928
    • (1992) Fatigue Fract. Engng. Mater. Struct. , vol.15 , pp. 911-928
    • Cen, Z.1    Maier, G.2
  • 35
    • 0028468278 scopus 로고
    • Fractal nature of material microstructure and size effects on apparent mechanical properties
    • Carpinteri A. Fractal nature of material microstructure and size effects on apparent mechanical properties Mech. Mater. 18 1994 89-101
    • (1994) Mech. Mater. , vol.18 , pp. 89-101
    • Carpinteri, A.1
  • 36
    • 0028374089 scopus 로고
    • Scaling laws and renormalization groups for strength and toughness of disordered materials
    • Carpinteri A. Scaling laws and renormalization groups for strength and toughness of disordered materials Int. J. Solids Struct. 31 1994 291-302
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 291-302
    • Carpinteri, A.1
  • 37
    • 0029346176 scopus 로고
    • Size effects on nominal tensile strength of concrete structures: Multifractality of material ligaments and dimensional transition from order to disorder
    • Carpinteri A. Chiaia B. Ferro G. Size effects on nominal tensile strength of concrete structures: multifractality of material ligaments and dimensional transition from order to disorder Mater. Struct. 28 1995 311-317
    • (1995) Mater. Struct. , vol.28 , pp. 311-317
    • Carpinteri, A.1    Chiaia, B.2    Ferro, G.3
  • 38
    • 0029386770 scopus 로고
    • Multifractal nature of concrete fracture surfaces and size effects on nominal fracture energy
    • Carpinteri A. Chiaia B. Multifractal nature of concrete fracture surfaces and size effects on nominal fracture energy Mater. Struct. 28 1995 435-443
    • (1995) Mater. Struct. , vol.28 , pp. 435-443
    • Carpinteri, A.1    Chiaia, B.2
  • 39
    • 0035930866 scopus 로고    scopus 로고
    • A scale-invariant cohesive crack model for quasi-brittle materials
    • Carpinteri J.A. Chiaia B. Cornetti P. A scale-invariant cohesive crack model for quasi-brittle materials Engng. Fract. Mech. 69 2002 207-217
    • (2002) Engng. Fract. Mech. , vol.69 , pp. 207-217
    • Carpinteri, J.A.1    Chiaia, B.2    Cornetti, P.3
  • 40
    • 0028669676 scopus 로고
    • Size effects on tensile fracture properties: A unified explanation based on disorder and fractality of concrete microstructure
    • Carpinteri A. Ferro G. Size effects on tensile fracture properties: a unified explanation based on disorder and fractality of concrete microstructure Mater. Struct. 28 1994 563-571
    • (1994) Mater. Struct. , vol.28 , pp. 563-571
    • Carpinteri, A.1    Ferro, G.2
  • 41
    • 0033333802 scopus 로고    scopus 로고
    • Effect of strain gradients on the size effect of concrete in uniaxial tension
    • van Mier J.G.M. van Vliet M.R.A. Effect of strain gradients on the size effect of concrete in uniaxial tension Int. J. Fract. 94 1999 195-219
    • (1999) Int. J. Fract. , vol.94 , pp. 195-219
    • van Mier, J.G.M.1    van Vliet, M.R.A.2
  • 50
    • 85031156572 scopus 로고
    • Nuclear Science and Technology, Shared Cost Action (SCA) programme 1985-1987, Research Contract No. 3302-87-12 ELISPI
    • Carpinteri A. Development of realistic concrete models including scaling effects. Nuclear Science and Technology, Shared Cost Action (SCA) programme 1985-1987, Research Contract No. 3302-87-12 ELISPI, 1989
    • (1989) Development of Realistic Concrete Models Including Scaling Effects
    • Carpinteri, A.1
  • 51
    • 0024689885 scopus 로고
    • Size effects on strength, toughness and ductility
    • Carpinteri A. Size effects on strength, toughness and ductility J. Engng. Mech. (ASCE) 115 1989 1375-1392
    • (1989) J. Engng. Mech. (ASCE) , vol.115 , pp. 1375-1392
    • Carpinteri, A.1
  • 52
    • 85031160225 scopus 로고
    • RILEM TC-90 FMA. Fracture Mechanics of Concrete--Applications. RILEM TC-90 FMA
    • Elfgren L. Round-Robin analysis of anchor bolts. RILEM TC-90 FMA. Fracture Mechanics of Concrete--Applications. RILEM TC-90 FMA, 1991
    • (1991) Round-Robin Analysis of Anchor Bolts
    • Elfgren, L.1
  • 53
    • 0019918473 scopus 로고
    • Notch sensitivity in fracture testing of aggregative materials
    • Carpinteri A. Notch sensitivity in fracture testing of aggregative materials Engng. Fract. Mech. 16 1982 467-481
    • (1982) Engng. Fract. Mech. , vol.16 , pp. 467-481
    • Carpinteri, A.1
  • 54
    • 0020114843 scopus 로고
    • Application of fracture mechanics to concrete structures
    • Carpinteri A. Application of fracture mechanics to concrete structures J. Engng. Mech. (ASCE) 108 1982 833-848
    • (1982) J. Engng. Mech. (ASCE) , vol.108 , pp. 833-848
    • Carpinteri, A.1
  • 55
    • 0024767517 scopus 로고
    • Snap-back softening instability in high-strength concrete beam
    • Biolzi L. Cangiano S. Tognon G. Carpinteri A. Snap-back softening instability in high-strength concrete beam Mater. Struct. 22 1989 429-436
    • (1989) Mater. Struct. , vol.22 , pp. 429-436
    • Biolzi, L.1    Cangiano, S.2    Tognon, G.3    Carpinteri, A.4
  • 60
    • 0024737155 scopus 로고
    • Fracture mechanics of brick masonry: Size effect and snap-back analysis
    • Bocca P. Carpinteri A. Valente S. Fracture mechanics of brick masonry: size effect and snap-back analysis Mater. Struct. 22 1989 364-373
    • (1989) Mater. Struct. , vol.22 , pp. 364-373
    • Bocca, P.1    Carpinteri, A.2    Valente, S.3
  • 61
    • 0037535317 scopus 로고
    • Fracture, path bifurcations and instabilities in elastic cohesive-softening models: A boundary elements approach
    • J. G. van Mier, J. G. Rots, A. Bakker (Eds.), E - FN Spon
    • Maier G. Cen Z. Novati G. Tagliaferri R. Fracture, path bifurcations and instabilities in elastic cohesive-softening models: a boundary elements approach van Mier J.G.M. Rots J.G. Bakker A. Fracture processes in concrete, rock, ceramics 1991 695-704 E - FN Spon
    • (1991) Fracture Processes in Concrete, Rock, Ceramics , pp. 695-704
    • Maier, G.1    Cen, Z.2    Novati, G.3    Tagliaferri, R.4
  • 62
    • 0003956031 scopus 로고
    • Damage accumulation and crack growth in bilinear materials with softening
    • Carpinteri A. Sih G.C. Damage accumulation and crack growth in bilinear materials with softening Theor. Appl. Fract. Mech. 1 1984 145-159
    • (1984) Theor. Appl. Fract. Mech. , vol.1 , pp. 145-159
    • Carpinteri, A.1    Sih, G.C.2
  • 64
    • 0018291497 scopus 로고
    • Indagine teorico-sperimentale sulla determinazione della resistenza del calcestruzzo mediante prova di estrazione
    • Bocca P. Indagine teorico-sperimentale sulla determinazione della resistenza del calcestruzzo mediante prova di estrazione L'Industria Italiana Cemento 1979 45-52
    • (1979) L'Industria Italiana Cemento , pp. 45-52
    • Bocca, P.1
  • 65
    • 0021427290 scopus 로고
    • The application of pull-out test to high strength concrete estimation
    • Bocca P. The application of pull-out test to high strength concrete estimation Mater. Struct. 17 1984 211-216
    • (1984) Mater. Struct. , vol.17 , pp. 211-216
    • Bocca, P.1
  • 66
    • 0038210653 scopus 로고
    • Evaluation of concrete fracture energy through a pull-out testing procedure
    • S. E. Swartz, S. P. Shah, B. Barr (Eds.), : Elsevier Applied Science
    • Bocca P. Carpinteri A. Valente S. Evaluation of concrete fracture energy through a pull-out testing procedure Swartz S.E. Shah S.P. Barr B. Fracture of concrete and rock--recent developments 1989 347-356 Elsevier Applied Science
    • (1989) Fracture of Concrete and Rock--recent Developments , pp. 347-356
    • Bocca, P.1    Carpinteri, A.2    Valente, S.3
  • 67
    • 0002916083 scopus 로고
    • Fracture mechanics evaluation of anchorage bearing capacity in concrete
    • A. Carpinteri (Ed.), : Elsevier Applied Science
    • Bocca P. Carpinteri A. Valente S. Fracture mechanics evaluation of anchorage bearing capacity in concrete Carpinteri A. Applications of fracture mechanics to reinforced concrete 1992 231-265 Elsevier Applied Science
    • (1992) Applications of Fracture Mechanics to Reinforced Concrete , pp. 231-265
    • Bocca, P.1    Carpinteri, A.2    Valente, S.3
  • 68
    • 85031145525 scopus 로고
    • Analysis of anchor bolts by the cohesive crack model
    • Elfgren L, editor. RILEM TC-90 FMA Fracture Mechanics of Concrete--Applications. RILEM TC-90 FMA, 1-8
    • Valente S, Carpinteri A. Analysis of anchor bolts by the cohesive crack model. In: Elfgren L, editor. Round-Robin analysis of anchor bolts. RILEM TC-90 FMA Fracture Mechanics of Concrete--Applications. RILEM TC-90 FMA. 1991. p. 19.1-8
    • (1991) Round-Robin Analysis of Anchor Bolts , pp. 19
    • Valente, S.1    Carpinteri, A.2
  • 69
    • 0037873103 scopus 로고
    • A contribution of the holographic interferometry to studies on concrete fracture
    • S. P. Shah, S. E. Swartz, B. Barr (Eds.), : Elsevier Applied Science
    • Ferrara G. Morabito P. A contribution of the holographic interferometry to studies on concrete fracture Shah S.P. Swartz S.E. Barr B. Fracture of concrete and rock--recent developments 1989 337-346 Elsevier Applied Science
    • (1989) Fracture of Concrete and Rock--recent Developments , pp. 337-346
    • Ferrara, G.1    Morabito, P.2
  • 70
    • 0038549424 scopus 로고
    • Boundary effect in mixed-mode I and II fracture of concrete
    • J. G. van Mier, J. G. Rots, A. Bakker (Eds.), E - FN Spon
    • Schlangen E. van Mier J.G.M. Boundary effect in mixed-mode I and II fracture of concrete van Mier J.G.M. Rots J.G. Bakker A. Fracture processes in concrete, rock, ceramics 1991 705-716 E - FN Spon
    • (1991) Fracture Processes in Concrete, Rock, Ceramics , pp. 705-716
    • Schlangen, E.1    van Mier, J.G.M.2
  • 71
    • 0002626221 scopus 로고
    • Single edge notched specimen subjected to four-point shear: An experimental investigation
    • S. P. Shah, S. E. Swartz, B. Barr (Eds.), Elsevier Applied Science
    • Carpinteri A. Ferrara G. Melchiorri G. Single edge notched specimen subjected to four-point shear: an experimental investigation Shah S.P. Swartz S.E. Barr B. Fracture of concrete and rock--recent developments 1989 605-614 Elsevier Applied Science
    • (1989) Fracture of Concrete and Rock--recent Developments , pp. 605-614
    • Carpinteri, A.1    Ferrara, G.2    Melchiorri, G.3
  • 73
    • 0027693884 scopus 로고
    • Heuristic softening strip model in the prediction of crack trajectories
    • Valente S. Heuristic softening strip model in the prediction of crack trajectories Theor. Appl. Fract. Mech. 19 1993 119-125
    • (1993) Theor. Appl. Fract. Mech. , vol.19 , pp. 119-125
    • Valente, S.1
  • 75
    • 0037535312 scopus 로고
    • Friction-toughness interaction for mixed-mode crack propagation in concrete
    • Rossmanith HP, Miller KJ, editors. ESIS Publication
    • Carpinteri A, Valente S, Ferrara G, Melchiorri G. Friction-toughness interaction for mixed-mode crack propagation in concrete. In: Rossmanith HP, Miller KJ, editors. International Conference on mixed-mode Fracture and Fatigue. ESIS Publication, vol. 14. 1993. p. 171-83
    • (1993) International Conference on Mixed-mode Fracture and Fatigue , vol.14 , pp. 171-183
    • Carpinteri, A.1    Valente, S.2    Ferrara, G.3    Melchiorri, G.4
  • 76
    • 0032104425 scopus 로고    scopus 로고
    • Size-effects induced bifurcation phenomena during multiple cohesive crack propagation
    • Barpi F. Valente S. Size-effects induced bifurcation phenomena during multiple cohesive crack propagation Int. J. Solids Struct. 35 16 1998 1851-1861
    • (1998) Int. J. Solids Struct. , vol.35 , Issue.16 , pp. 1851-1861
    • Barpi, F.1    Valente, S.2
  • 79
    • 0038210648 scopus 로고
    • Removal of finite elements in strain softening analysis of tensile fracture
    • Z. P. Bažant (Ed.), Elsevier Publisher
    • Rots J.G. Removal of finite elements in strain softening analysis of tensile fracture Bažant Z.P. Fracture mechanics of concrete structure 1992 330-338 Elsevier Publisher
    • (1992) Fracture Mechanics of Concrete Structure , pp. 330-338
    • Rots, J.G.1
  • 80
    • 0038549414 scopus 로고
    • A finite element model for the study of crack propagation in concrete
    • M. H. Aliabadi, D. J. Cartwright, H. Nisitani (Eds.), Southampton, Boston: Computational Mechanics Publications
    • Alfaiate J. Pires J.B. Martins J.A.C. A finite element model for the study of crack propagation in concrete Aliabadi M.H. Cartwright D.J. Nisitani H. Localized Damage II Fatigue and Fracture Mechanics vol. 1 1992 261-280 Computational Mechanics Publications Southampton, Boston
    • (1992) Localized Damage II , vol.1 , pp. 261-280
    • Alfaiate, J.1    Pires, J.B.2    Martins, J.A.C.3
  • 81
    • 0002434876 scopus 로고
    • Experimental and numerical fracture modelling of a gravity dam
    • Z. P. Bažant (Ed.), The Netherlands: Elsevier Applied Science
    • Carpinteri A. Valente S. Ferrara G. Imperato L. Experimental and numerical fracture modelling of a gravity dam Bažant Z.P. Fracture mechanics of concrete structures 1992 351-360 Elsevier Applied Science The Netherlands
    • (1992) Fracture Mechanics of Concrete Structures , pp. 351-360
    • Carpinteri, A.1    Valente, S.2    Ferrara, G.3    Imperato, L.4
  • 82
    • 0008100275 scopus 로고
    • On singular points in mixed-mode cohesive crack propagation
    • M. M. Aliabadi, A. Carpinteri, S. Kaliszky, D. J. Cartwright (Eds.), Southampton: Computational Mechanics Publications
    • Valente S. Barpi F. On singular points in mixed-mode cohesive crack propagation Aliabadi M.M. Carpinteri A. Kaliszky S. Cartwright D.J. Localized Damage III 1994 167-174 Computational Mechanics Publications Southampton
    • (1994) Localized Damage III , pp. 167-174
    • Valente, S.1    Barpi, F.2
  • 84
    • 0005432496 scopus 로고
    • Boundary element and finite element fracture analysis of dams by the cohesive crack model: A comparative study
    • E. Bourdarot, J. Mazars, V. Saouma (Eds.), The Netherlands: Balkema
    • Bolzon G. Cocchetti G. Maier G. Novati G. Giuseppetti G. Boundary element and finite element fracture analysis of dams by the cohesive crack model: a comparative study Bourdarot E. Mazars J. Saouma V. Dam fracture and damage 1994 69-78 Balkema The Netherlands
    • (1994) Dam Fracture and Damage , pp. 69-78
    • Bolzon, G.1    Cocchetti, G.2    Maier, G.3    Novati, G.4    Giuseppetti, G.5
  • 85
    • 0037873099 scopus 로고
    • An anisotropic damage model for the response of concrete gravity dams
    • E. Bourdarot, J. Mazars, V. Saouma (Eds.), The Netherlands: Balkema
    • Tinawi R. Ghrib F. An anisotropic damage model for the response of concrete gravity dams Bourdarot E. Mazars J. Saouma V. Dam fracture and damage 1994 21-30 Balkema The Netherlands
    • (1994) Dam Fracture and Damage , pp. 21-30
    • Tinawi, R.1    Ghrib, F.2
  • 86
    • 0008057648 scopus 로고
    • Physical and mathematical models for the study of crack activation in concrete dams
    • E. Bourdarot, J. Mazars, V. Saouma (Eds.), The Netherlands: Balkema
    • Pellegrini R. Imperato L. Torda M. Ferrara G. Mazza G. Morabito P. Physical and mathematical models for the study of crack activation in concrete dams Bourdarot E. Mazars J. Saouma V. Dam fracture and damage 1994 169-176 Balkema The Netherlands
    • (1994) Dam Fracture and Damage , pp. 169-176
    • Pellegrini, R.1    Imperato, L.2    Torda, M.3    Ferrara, G.4    Mazza, G.5    Morabito, P.6
  • 87
    • 0037873098 scopus 로고
    • Experimental study of concrete gravity dams in a centrifuge
    • E. Bourdarot, J. Mazars, V. Saouma (Eds.), The Netherlands: Balkema
    • Plizzari G.A. Saouma V.E. Waggoner A. Experimental study of concrete gravity dams in a centrifuge Bourdarot E. Mazars J. Saouma V. Dam fracture and damage 1994 93-102 Balkema The Netherlands
    • (1994) Dam Fracture and Damage , pp. 93-102
    • Plizzari, G.A.1    Saouma, V.E.2    Waggoner, A.3
  • 88
    • 0008053112 scopus 로고
    • Cracking in a concrete gravity dam: A centrifugal investigation
    • E. Bourdarot, J. Mazars, V. Saouma (Eds.), The Netherlands: Balkema
    • Renzi R. Ferrara G. Mazza G. Cracking in a concrete gravity dam: a centrifugal investigation Bourdarot E. Mazars J. Saouma V. Dam fracture and damage 1994 103-109 Balkema The Netherlands
    • (1994) Dam Fracture and Damage , pp. 103-109
    • Renzi, R.1    Ferrara, G.2    Mazza, G.3
  • 89
    • 0008100827 scopus 로고
    • Numerical simulation of centrifuge tests on prenotched gravity dam models
    • E. Bourdarot, J. Mazars, V. Saouma (Eds.), Rotterdam (The Netherlands): Balkema
    • Valente S. Barpi F. Ferrara G. Giuseppetti G. Numerical simulation of centrifuge tests on prenotched gravity dam models Bourdarot E. Mazars J. Saouma V. Dam fracture and damage 1994 111-119 Balkema Rotterdam (The Netherlands)
    • (1994) Dam Fracture and Damage , pp. 111-119
    • Valente, S.1    Barpi, F.2    Ferrara, G.3    Giuseppetti, G.4
  • 90
    • 0033835089 scopus 로고    scopus 로고
    • Numerical simulation of prenotched gravity dam models
    • Barpi F. Valente S. Numerical simulation of prenotched gravity dam models J. Engng. Mech. (ASCE) 126 6 2000 611-619
    • (2000) J. Engng. Mech. (ASCE) , vol.126 , Issue.6 , pp. 611-619
    • Barpi, F.1    Valente, S.2
  • 91
    • 0005401475 scopus 로고
    • Influence of sustained load on the fracture zone of concrete
    • J. G. van Mier, J. G. Rots, A. Bakker (Eds.), E - FN Spon
    • Aassved Hansen E. Influence of sustained load on the fracture zone of concrete van Mier J.G.M. Rots J.G. Bakker A. Fracture processes in concrete rock and ceramics 1991 829-838 E - FN Spon
    • (1991) Fracture Processes in Concrete Rock and Ceramics , pp. 829-838
    • Aassved Hansen, E.1
  • 92
    • 0002610955 scopus 로고
    • Time-dependent fracture of concrete: Testing and modelling
    • Z. P. Bažant (Ed.), The Netherlands: Elsevier Applied Science
    • Zhou F.P. Hillerborg A. Time-dependent fracture of concrete: testing and modelling Bažant Z.P. Fracture mechanics of concrete structures 1992 906-911 Elsevier Applied Science The Netherlands
    • (1992) Fracture Mechanics of Concrete Structures , pp. 906-911
    • Zhou, F.P.1    Hillerborg, A.2
  • 95
    • 0031152760 scopus 로고    scopus 로고
    • Tensile and flexural creep rupture tests on partially-damaged concrete specimens
    • Carpinteri A. Valente S. Zhou F.P. Ferrara G. Melchiorri G. Tensile and flexural creep rupture tests on partially-damaged concrete specimens Mater. Struct. 30 1997 269-276
    • (1997) Mater. Struct. , vol.30 , pp. 269-276
    • Carpinteri, A.1    Valente, S.2    Zhou, F.P.3    Ferrara, G.4    Melchiorri, G.5
  • 96
    • 0002770508 scopus 로고    scopus 로고
    • Creep induced cohesive crack propagation in mixed mode
    • D. Durban, J. R. Pearson (Eds.), The Netherlands: Kluwer Academic Publishers
    • Barpi F. Chillè F. Imperato L. Valente S. Creep induced cohesive crack propagation in mixed mode Durban D. Pearson J.R.A. Non-linear singularities in deformation and flow 1999 155-168 Kluwer Academic Publishers The Netherlands
    • (1999) Non-linear Singularities in Deformation and Flow , pp. 155-168
    • Barpi, F.1    Chillè, F.2    Imperato, L.3    Valente, S.4
  • 98
    • 0037873097 scopus 로고    scopus 로고
    • Time-dependent fracture of concrete using fractional order rate laws
    • R. de Borst, J. Mazars, G. Pijaudier-Cabot, J. G. van Mier (Eds.), : Balkema Publishers
    • Barpi F. Valente S. Time-dependent fracture of concrete using fractional order rate laws de Borst R. Mazars J. Pijaudier-Cabot G. van Mier J.G.M. Fracture mechanics of concrete structures 2001 153-159 Balkema Publishers
    • (2001) Fracture Mechanics of Concrete Structures , pp. 153-159
    • Barpi, F.1    Valente, S.2
  • 100
    • 0037336221 scopus 로고    scopus 로고
    • Creep and fracture in concrete: A fractional order rate approach
    • Barpi F. Valente S. Creep and fracture in concrete: A fractional order rate approach Engng. Fract. Mech. 70 2003 611-623
    • (2003) Engng. Fract. Mech. , vol.70 , pp. 611-623
    • Barpi, F.1    Valente, S.2
  • 101
    • 85031156797 scopus 로고    scopus 로고
    • Time-dependent fracture of concrete dam models with fuzzy parameters
    • Dubois D, editor. Liége, Belgium, August 7-12, 2000
    • Barpi F, Valente S. Time-dependent fracture of concrete dam models with fuzzy parameters. In: Dubois D, editor. Fourth International Conference on Computing Anticipatory Systems (CASYS 2000), Liége, Belgium, August 7-12, 2000. 2000. p. 325-37
    • (2000) Fourth International Conference on Computing Anticipatory Systems (CASYS 2000) , pp. 325-337
    • Barpi, F.1    Valente, S.2
  • 102
    • 0037173933 scopus 로고    scopus 로고
    • Fuzzy parameters analysis of time-dependent fracture of concrete dam models
    • Barpi F. Valente S. Fuzzy parameters analysis of time-dependent fracture of concrete dam models Int. J. Numer. Anal. Meth. Geomech. 26 2002 1005-1027
    • (2002) Int. J. Numer. Anal. Meth. Geomech. , vol.26 , pp. 1005-1027
    • Barpi, F.1    Valente, S.2
  • 103
  • 105
    • 0003586464 scopus 로고
    • New York: Plenum Press
    • Feder J. Fractals 1988 Plenum Press New York
    • (1988) Fractals
    • Feder, J.1
  • 106
    • 0041405886 scopus 로고    scopus 로고
    • Experimental investigation of size effect in concrete under uniaxial tension
    • H. Mihashi, K. Rokugo (Eds.), Aedificatio
    • van Mier J.G.M. van-Vliet M.R.A. Experimental investigation of size effect in concrete under uniaxial tension Mihashi H. Rokugo K. Proceedings of FRAMCOS-9 1998 1923-1936 Aedificatio
    • (1998) Proceedings of FRAMCOS-9 , pp. 1923-1936
    • van Mier, J.G.M.1    van-Vliet, M.R.A.2
  • 107
    • 0031223809 scopus 로고    scopus 로고
    • Complex fracture energy dissipation in concrete under different loading conditions
    • Carpinteri A. Chiaia B. Nemati K.M. Complex fracture energy dissipation in concrete under different loading conditions Mech. Mater. 26 1997 93-108
    • (1997) Mech. Mater. , vol.26 , pp. 93-108
    • Carpinteri, A.1    Chiaia, B.2    Nemati, K.M.3
  • 108
    • 0032672354 scopus 로고    scopus 로고
    • Three-dimensional fractal analysis of concrete fracture at the meso-level
    • Carpinteri A. Chiaia B. Invernizzi S. Three-dimensional fractal analysis of concrete fracture at the meso-level Theor. Appl. Fract. Mech. 31 1999 163-172
    • (1999) Theor. Appl. Fract. Mech. , vol.31 , pp. 163-172
    • Carpinteri, A.1    Chiaia, B.2    Invernizzi, S.3
  • 109
    • 0037535289 scopus 로고    scopus 로고
    • Size effects on concrete tensile fracture properties: An interpretation of the fractal approach based on aggregate grading
    • Carpinteri A. Cornetti P. Size effects on concrete tensile fracture properties: an interpretation of the fractal approach based on aggregate grading J. Mech. Behav. Mater. 13 2002 233-246
    • (2002) J. Mech. Behav. Mater. , vol.13 , pp. 233-246
    • Carpinteri, A.1    Cornetti, P.2
  • 110
    • 85031153429 scopus 로고    scopus 로고
    • On the mechanics of quasi-brittle materials with a fractal microstructure
    • in press
    • Carpinteri A, Chiaia B, Cornetti P. On the mechanics of quasi-brittle materials with a fractal microstructure. Engng Fract Mech, in press
    • Engng Fract Mech
    • Carpinteri, A.1    Chiaia, B.2    Cornetti, P.3
  • 111
    • 0000879722 scopus 로고    scopus 로고
    • Power scaling laws and dimensional transitions in solid mechanics
    • Carpinteri A. Chiaia B. Power scaling laws and dimensional transitions in solid mechanics Chaos, Solitons Fract. 7 1996 1343-1364
    • (1996) Chaos, Solitons Fract. , vol.7 , pp. 1343-1364
    • Carpinteri, A.1    Chiaia, B.2
  • 112
    • 0000111514 scopus 로고    scopus 로고
    • Multifractal scaling laws in the breaking behavior of disordered materials
    • Carpinteri A. Chiaia B. Multifractal scaling laws in the breaking behavior of disordered materials Chaos, Solitons Fract. 8 1997 135-150
    • (1997) Chaos, Solitons Fract. , vol.8 , pp. 135-150
    • Carpinteri, A.1    Chiaia, B.2
  • 113
    • 0032154734 scopus 로고    scopus 로고
    • Scale dependence of tensile strength of concrete specimens: A multifractal approach
    • Carpinteri A. Chiaia B. Ferro G. Scale dependence of tensile strength of concrete specimens: a multifractal approach Mag. Concr. Res. 50 1998 237-246
    • (1998) Mag. Concr. Res. , vol.50 , pp. 237-246
    • Carpinteri, A.1    Chiaia, B.2    Ferro, G.3
  • 114
    • 0006811828 scopus 로고    scopus 로고
    • Size effects on concrete fracture energy: Dimensional transition from order to disorder
    • Carpinteri A. Chiaia B. Size effects on concrete fracture energy: dimensional transition from order to disorder Mater. Struct. 29 1996 259-266
    • (1996) Mater. Struct. , vol.29 , pp. 259-266
    • Carpinteri, A.1    Chiaia, B.2
  • 115
    • 0030465094 scopus 로고    scopus 로고
    • Crack-resistance behavior as a consequence of self-similar fracture topologies
    • Carpinteri A. Chiaia B. Crack-resistance behavior as a consequence of self-similar fracture topologies Int. J. Fract. 76 1996 327-340
    • (1996) Int. J. Fract. , vol.76 , pp. 327-340
    • Carpinteri, A.1    Chiaia, B.2
  • 116
    • 0031098082 scopus 로고    scopus 로고
    • A new explanation for size effects on the flexural strength of concrete
    • Carpinteri A. Chiaia B. Ferro G. A new explanation for size effects on the flexural strength of concrete Mag. Concr. Res. 49 1997 45-53
    • (1997) Mag. Concr. Res. , vol.49 , pp. 45-53
    • Carpinteri, A.1    Chiaia, B.2    Ferro, G.3
  • 117
    • 0032682449 scopus 로고    scopus 로고
    • Scale effects in uniaxially compressed concrete specimens
    • Carpinteri A. Ferro G. Monetto I. Scale effects in uniaxially compressed concrete specimens Mag. Concr. Res. 51 1999 217-225
    • (1999) Mag. Concr. Res. , vol.51 , pp. 217-225
    • Carpinteri, A.1    Ferro, G.2    Monetto, I.3
  • 119
    • 0012638198 scopus 로고    scopus 로고
    • Multifractal scaling law versus gradient elasticity in the evaluation of disordered materials compressive strength
    • Efraimidis G. Carpinteri A. Aifantis E.C. Multifractal scaling law versus gradient elasticity in the evaluation of disordered materials compressive strength J. Mech. Behav. Mater. 12 2001 107-120
    • (2001) J. Mech. Behav. Mater. , vol.12 , pp. 107-120
    • Efraimidis, G.1    Carpinteri, A.2    Aifantis, E.C.3
  • 120
    • 0036028181 scopus 로고    scopus 로고
    • A fractional calculus approach to the description of stress and strain localization in fractal media
    • Carpinteri A. Cornetti P. A fractional calculus approach to the description of stress and strain localization in fractal media Chaos, Solitons Fract. 13 2002 85-94
    • (2002) Chaos, Solitons Fract. , vol.13 , pp. 85-94
    • Carpinteri, A.1    Cornetti, P.2
  • 125
    • 0035834542 scopus 로고    scopus 로고
    • Static-kinematic duality and the principle of virtual work in the mechanics of fractal media
    • Carpinteri A. Chiaia B. Cornetti P. Static-kinematic duality and the principle of virtual work in the mechanics of fractal media Comput. Meth. Appl. Mech. Engng. 191 2001 3-19
    • (2001) Comput. Meth. Appl. Mech. Engng. , vol.191 , pp. 3-19
    • Carpinteri, A.1    Chiaia, B.2    Cornetti, P.3
  • 127
    • 0032098838 scopus 로고    scopus 로고
    • Scaling behaviour and dual renormalization of experimental tensile softening responses
    • Carpinteri A. Ferro G. Scaling behaviour and dual renormalization of experimental tensile softening responses Mater. Struct. 31 1998 303-309
    • (1998) Mater. Struct. , vol.31 , pp. 303-309
    • Carpinteri, A.1    Ferro, G.2
  • 128
    • 0022779409 scopus 로고
    • The fractal nature of slip in crystals
    • Kleiser T. Bocek M. The fractal nature of slip in crystals Z. Metall. 77 1986 582-587
    • (1986) Z. Metall. , vol.77 , pp. 582-587
    • Kleiser, T.1    Bocek, M.2
  • 129
    • 0030237246 scopus 로고    scopus 로고
    • Fractal analysis of the fabric changes in a consolidating clay
    • Vallejo E.L. Fractal analysis of the fabric changes in a consolidating clay Engng. Geol. 43 1996 281-290
    • (1996) Engng. Geol. , vol.43 , pp. 281-290
    • Vallejo, E.L.1


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