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Volumn 133, Issue 2, 2007, Pages 153-162

Asymptotic prediction of energetic-statistical size effect from deterministic finite-element solutions

Author keywords

Dam safety; Damage; Dams; Finite element method; Predictions; Simulation; Size effects; Stochastic models

Indexed keywords

CRACK INITIATION; ELASTICITY TESTING; FINITE ELEMENT METHOD; FRACTURE; STRENGTH OF MATERIALS; STRUCTURAL DESIGN; WEIBULL DISTRIBUTION;

EID: 33846426811     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2007)133:2(153)     Document Type: Article
Times cited : (85)

References (53)
  • 1
    • 0000075674 scopus 로고
    • Probability concepts in engineering planning and design
    • Wiley, New York
    • Ang, A. H.-S., and Tang, W. H. (1984). Probability concepts in engineering planning and design. Decision, risk and reliability, Vol. II, Wiley, New York.
    • (1984) Decision, Risk and Reliability , vol.2
    • Ang, A.H.-S.1    Tang, W.H.2
  • 2
    • 85040850209 scopus 로고
    • "Four major dam failures re-examined"
    • Bartle, A., ed
    • Bartle, A., ed. (1985). "Four major dam failures re-examined." Int. Water Power Dam Constr., 37(11), 33-36, 41-46.
    • (1985) Int. Water Power Dam Constr. , vol.37 , Issue.11 , pp. 41-46
  • 3
    • 0000550166 scopus 로고
    • "Scaling theories for quasibrittle fracture: Recent advances and new directions"
    • FraMCoS-2, ETH, Zürich, F. H. Wittmann, ed., Aedificatio Publishers, Freiburg, Germany
    • Bažant, Z. P. (1995). "Scaling theories for quasibrittle fracture: Recent advances and new directions." Fracture Mechanics of Concrete Structures, Proc., 2nd Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures, FraMCoS-2, ETH, Zürich, F. H. Wittmann, ed., Aedificatio Publishers, Freiburg, Germany, 515-534.
    • (1995) Fracture Mechanics of Concrete Structures , pp. 515-534
    • Bažant, Z.P.1
  • 4
    • 0030984399 scopus 로고    scopus 로고
    • "Scaling of quasibrittle fracture: Asymptotic analysis"
    • Bažant, Z. P. (1997). "Scaling of quasibrittle fracture: Asymptotic analysis." Int. J. Fract. 83(1), 19-40.
    • (1997) Int. J. Fract. , vol.83 , Issue.1 , pp. 19-40
    • Bažant, Z.P.1
  • 5
    • 4544312155 scopus 로고    scopus 로고
    • "Probabilistic modeling of quasibrittle fracture and size effect"
    • Newport Beach, Calif., R. B. Corotis, G. I. Schueller, and M. Shinozuka, eds., Swets and Zeitinger, Balkema
    • Bažant, Z. P. (2001). "Probabilistic modeling of quasibrittle fracture and size effect." Proc., 8th Int. Conf. on Structural Safety and Reliability (ICOSSAR), Newport Beach, Calif., R. B. Corotis, G. I. Schueller, and M. Shinozuka, eds., Swets and Zeitinger, Balkema, 1-23.
    • (2001) Proc., 8th Int. Conf. on Structural Safety and Reliability (ICOSSAR) , pp. 1-23
    • Bažant, Z.P.1
  • 6
    • 0004004443 scopus 로고    scopus 로고
    • Hermes Penton Science (Kogan Page), London, 2nd ed., Elsevier 2005 (French transl. with updates, Hermes Science Publ., Paris 2004)
    • Bažant, Z. P. (2002). Scaling of structural strength. Hermes Penton Science (Kogan Page), London, 2nd ed., Elsevier 2005 (French transl. with updates, Hermes Science Publ., Paris 2004).
    • (2002) Scaling of Structural Strength
    • Bažant, Z.P.1
  • 7
    • 4544266353 scopus 로고    scopus 로고
    • "Scaling theory for quasibrittle structural failure"
    • Bažant, Z. P. (2004a). "Scaling theory for quasibrittle structural failure." Proc. Natl. Acad. Sci. U.S.A., 101(37), 13397-13399.
    • (2004) Proc. Natl. Acad. Sci. U.S.A. , vol.101 , Issue.37 , pp. 13397-13399
    • Bažant, Z.P.1
  • 8
    • 4644335245 scopus 로고    scopus 로고
    • "Probability distribution of energetic-statistical size effect in quasibrittle fracture"
    • Bažant, Z. P. (2004b). "Probability distribution of energetic-statistical size effect in quasibrittle fracture." Probab. Eng. Mech., 19(4), 307-319.
    • (2004) Probab. Eng. Mech. , vol.19 , Issue.4 , pp. 307-319
    • Bažant, Z.P.1
  • 9
    • 0031247348 scopus 로고    scopus 로고
    • "Scaling of structural failure"
    • Bažant, Z. P., and Chen, E.-P. (1997). "Scaling of structural failure." Appl. Mech. Rev. 50(10), 593-627.
    • (1997) Appl. Mech. Rev. , vol.50 , Issue.10 , pp. 593-627
    • Bažant, Z.P.1    Chen, E.-P.2
  • 10
    • 0342657813 scopus 로고    scopus 로고
    • "Probabilistic nonlocal theory for quasibrittle fracture initiation and size effect. I. Theory"
    • Bažant, Z. P., and Novák, D. (2000a). "Probabilistic nonlocal theory for quasibrittle fracture initiation and size effect. I. Theory." J. Eng. Mech. 126(2), 166-174.
    • (2000) J. Eng. Mech. , vol.126 , Issue.2 , pp. 166-174
    • Bažant, Z.P.1    Novák, D.2
  • 11
    • 0034191718 scopus 로고    scopus 로고
    • "Energetic-statistical size effect in quasi-brittle failure at crack initiation"
    • Bažant, Z. P., and Novák, D. (2000b). "Energetic-statistical size effect in quasi-brittle failure at crack initiation." ACI Mater. J. 97(3), 381-392.
    • (2000) ACI Mater. J. , vol.97 , Issue.3 , pp. 381-392
    • Bažant, Z.P.1    Novák, D.2
  • 12
    • 0035241296 scopus 로고    scopus 로고
    • "Proposal for standard test of modulus of rupture of concrete with its size dependence"
    • Bažant, Z. P., and Novák, D. (2001). "Proposal for standard test of modulus of rupture of concrete with its size dependence." ACI Mater. J. 98(1), 79-87.
    • (2001) ACI Mater. J. , vol.98 , Issue.1 , pp. 79-87
    • Bažant, Z.P.1    Novák, D.2
  • 13
    • 7544236079 scopus 로고    scopus 로고
    • "Stochastic models for deformation and failure of quasibrittle structures: Recent advances and new directions"
    • St. Johann im Pongau, Austria, N. Bićanić, R. de Borst, H. Mang, and G. Meschke, eds., A. A. Balkema Publ., Lisse, The Netherlands
    • Bažant, Z. P., and Novák, D. (2003). "Stochastic models for deformation and failure of quasibrittle structures: Recent advances and new directions." Computational Modeling of Concrete Structures, Proc., EURO-C Conf., St. Johann im Pongau, Austria, N. Bićanić, R. de Borst, H. Mang, and G. Meschke, eds., A. A. Balkema Publ., Lisse, The Netherlands, 583-598.
    • (2003) Computational Modeling of Concrete Structures, Proc., EURO-C Conf. , pp. 583-598
    • Bažant, Z.P.1    Novák, D.2
  • 14
    • 0020750862 scopus 로고
    • "Crack band theory for fracture of concrete"
    • Bažant, Z. P., and Oh, B. H. (1983). "Crack band theory for fracture of concrete." Mater. Constr. (Paris) 16, 155-177.
    • (1983) Mater. Constr. (Paris) , vol.16 , pp. 155-177
    • Bažant, Z.P.1    Oh, B.H.2
  • 15
    • 33846446457 scopus 로고    scopus 로고
    • "Effect of size on safety factors and strength of quasibrittle structures: Beckoning reform of reliability concepts"
    • J. M. Chandra Kishen and D. Roy, eds., Indian Institute of Science, Bangalore
    • Bažant, Z. P., and Pang, S.-D. (2005a). "Effect of size on safety factors and strength of quasibrittle structures: Beckoning reform of reliability concepts." Proc., Structural Engineering Convention (SEC 2005), J. M. Chandra Kishen and D. Roy, eds., Indian Institute of Science, Bangalore, 2-20.
    • (2005) Proc., Structural Engineering Convention (SEC 2005) , pp. 2-20
    • Bažant, Z.P.1    Pang, S.-D.2
  • 16
    • 33846442857 scopus 로고    scopus 로고
    • "Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture"
    • Northwestern Univ., also J. Mech. Phys. Solids, 54 (2006), in press
    • Bažant, Z. P., and Pang, S. D. (2005b). "Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture." Struct. Eng. Rep. No. 05-07/C441a, Northwestern Univ., also J. Mech. Phys. Solids, 54, (2006), in press.
    • (2005) Struct. Eng. Rep. No. 05-07/C441a
    • Bažant, Z.P.1    Pang, S.D.2
  • 17
    • 33745436271 scopus 로고    scopus 로고
    • "Statistical mechanics of failure risk for quasibrittle fracture"
    • Bažant, Z. P., and Pang, S.-D. (2006). "Statistical mechanics of failure risk for quasibrittle fracture." Proc. Natl. Acad. Sci. U.S.A. 103(25), 9434-9439.
    • (2006) Proc. Natl. Acad. Sci. U.S.A. , vol.103 , Issue.25 , pp. 9434-9439
    • Bažant, Z.P.1    Pang, S.-D.2
  • 20
    • 0026253993 scopus 로고
    • "Statistical size effect in quasibrittle structures: II. Nonlocal theory"
    • Bažant, Z. P., and Xi, Y. (1991). "Statistical size effect in quasibrittle structures: II. Nonlocal theory." J. Eng. Mech. 117(11), 2623-2640.
    • (1991) J. Eng. Mech. , vol.117 , Issue.11 , pp. 2623-2640
    • Bažant, Z.P.1    Xi, Y.2
  • 21
    • 33846424624 scopus 로고    scopus 로고
    • "An advanced engineering tool for reliability assessment of concrete structures"
    • Cape Town, South Africa, Zingoni, ed., Taylor and Francis Group, London ISBN 90-5809-568-1
    • Bergmeister, K., Novák, D., and Pukl, R. (2004). "An advanced engineering tool for reliability assessment of concrete structures." Progress in Structural Engineering, Mechanics and Computation, Proc., 2nd Int. Conf., Cape Town, South Africa, Zingoni, ed., Taylor and Francis Group, London, 899-904, ISBN 90-5809-568-1.
    • (2004) Progress in Structural Engineering, Mechanics and Computation, Proc., 2nd Int. Conf. , pp. 899-904
    • Bergmeister, K.1    Novák, D.2    Pukl, R.3
  • 23
    • 0034283047 scopus 로고    scopus 로고
    • "Microplane model M4 for concrete: II. Algorithm and calibration"
    • Caner, F. C., and Bažant, Z. P. (2000). "Microplane model M4 for concrete: II. Algorithm and calibration." J. Eng. Mech., 126(9), 954-961.
    • (2000) J. Eng. Mech. , vol.126 , Issue.9 , pp. 954-961
    • Caner, F.C.1    Bažant, Z.P.2
  • 24
    • 33846428450 scopus 로고
    • "On stochastic descriptions for damage evolution in quasibrittle materials"
    • G. M. A. Kusters and M. A. N. Hendriks, eds., Delft, The Netherlands
    • Carmeliet, J. (1994). "On stochastic descriptions for damage evolution in quasibrittle materials." DIANA computational mechanics, G. M. A. Kusters and M. A. N. Hendriks, eds., Delft, The Netherlands.
    • (1994) CIANA Computational Mechanics
    • Carmeliet, J.1
  • 25
    • 0028516446 scopus 로고
    • "Probabilistic nonlocal damage model for continua with random field properties"
    • Carmeliet, J., and Hens, H. (1994). "Probabilistic nonlocal damage model for continua with random field properties." J. Eng. Mech., 120(10), 2013-2027.
    • (1994) J. Eng. Mech. , vol.120 , Issue.10 , pp. 2013-2027
    • Carmeliet, J.1    Hens, H.2
  • 26
    • 13244265859 scopus 로고    scopus 로고
    • "Equivalent localization element for crack band approach to mesh-sensitivity in microplane model"
    • Červenka, J., Bažant, Z. P., and Wierer, M. (2005). "Equivalent localization element for crack band approach to mesh-sensitivity in microplane model." Int. J. Numer. Methods Eng., 62(5), 700-726.
    • (2005) Int. J. Numer. Methods Eng. , vol.62 , Issue.5 , pp. 700-726
    • Červenka, J.1    Bažant, Z.P.2    Wierer, M.3
  • 27
    • 0007612158 scopus 로고
    • "SBETA analysis of size effect in concrete structures"
    • H. Mihashi, H. Okamura, and Z. P. Bažant, eds., E & FN Spon, London
    • Červenka, V., and Pukl, R. (1994). "SBETA analysis of size effect in concrete structures." Size effect of concrete structures, H. Mihashi, H. Okamura, and Z. P. Bažant, eds., E & FN Spon, London, 323-333.
    • (1994) Size Effect of Concrete Structures , pp. 323-333
    • Červenka, V.1    Pukl, R.2
  • 29
    • 33846418807 scopus 로고    scopus 로고
    • "Stochastic approaches for damage evaluation in local and non-local continua"
    • A. Carpinteri, ed., E & FN Spon, London
    • de Borst, R., and Carmeliet, J. (1996). "Stochastic approaches for damage evaluation in local and non-local continua." Size-scale effects in the failure mechanism of materials and structures, A. Carpinteri, ed., E & FN Spon, London, 242-257.
    • (1996) Size-scale Effects in the Failure Mechanism of Materials and Structures , pp. 242-257
    • de Borst, R.1    Carmeliet, J.2
  • 30
    • 84958156266 scopus 로고
    • "Limiting forms of the frequency distribution of the largest and smallest member of a sample"
    • Fisher, R. A., and Tippett, L. H. C. (1928). "Limiting forms of the frequency distribution of the largest and smallest member of a sample." Proc. Cambridge Philos. Soc., 24, 180-190.
    • (1928) Proc. Cambridge Philos. Soc. , vol.24 , pp. 180-190
    • Fisher, R.A.1    Tippett, L.H.C.2
  • 31
    • 0002689711 scopus 로고
    • "Sur la loi de probabilité de l'écart maximum"
    • Cracow
    • Fréchet, M. (1927). "Sur la loi de probabilité de l'écart maximum." Ann. Soc. Polon. Math., Cracow, 6, 93.
    • (1927) Ann. Soc. Polon. Math. , vol.6 , pp. 93
    • Fréchet, M.1
  • 33
    • 0004169042 scopus 로고    scopus 로고
    • "Deterministic and stochastic analysis of size effects and damage evaluation in quasibrittle materials"
    • Gutiérrez, M. A., and de Borst, R. (1999). "Deterministic and stochastic analysis of size effects and damage evaluation in quasibrittle materials." Arch. Appl. Mech.AAMEEA0939-1533, 69, 655-676.
    • (1999) Arch. Appl. Mech. , vol.69 , pp. 655-676
    • Gutiérrez, M.A.1    de Borst, R.2
  • 34
    • 33846416555 scopus 로고    scopus 로고
    • "Deterministic and probabilistic length-scales and their role in size-effect phenomena"
    • Calif., R. B. Corotis, eds., Swets and Zeitinger, Lisse, The Netherlands
    • Gutiérrez, M. A., and de Borst, R. (2001). "Deterministic and probabilistic length-scales and their role in size-effect phenomena." ICOSSAR 2001, Proc., 8th Int. Conf. on Structural Safety and Reliability, Calif., R. B. Corotis, eds., Swets and Zeitinger, Lisse, The Netherlands, 1-8.
    • (2001) ICOSSAR 2001, Proc., 8th Int. Conf. on Structural Safety and Reliability , pp. 1-8
    • Gutiérrez, M.A.1    de Borst, R.2
  • 36
    • 0003837442 scopus 로고
    • Why buildings fall down?
    • W. W. Norton, New York
    • Levy, M., and Salvadori, M. (1992). Why buildings fall down? W. W. Norton, New York.
    • (1992)
    • Levy, M.1    Salvadori, M.2
  • 38
    • 33846426119 scopus 로고    scopus 로고
    • "Stochastic nonlinear fracture mechanics finite element analysis of concrete structures"
    • Augusti, G., Schuëller, G. I., Ciampoli, M. eds., Millpress, Rotterdam, The Netherlands, Rome, Italy
    • Novák, D., Vořechovský, M., Lehký, D., Rusina, R., Pukl, R., and Červenka, V. (2005). "Stochastic nonlinear fracture mechanics finite element analysis of concrete structures." ICOSSAR'05 Proc., 9th Int. Conf. on Structural Safety and Reliability, Augusti, G., Schuëller, G. I., Ciampoli, M. eds., Millpress, Rotterdam, The Netherlands, Rome, Italy, pp. 781-788.
    • (2005) ICOSSAR'05 Proc., 9th Int. Conf. on Structural Safety and Reliability , pp. 781-788
    • Novák, D.1    Vořechovský, M.2    Lehký, D.3    Rusina, R.4    Pukl, R.5    Červenka, V.6
  • 42
    • 0001922107 scopus 로고    scopus 로고
    • "Why did the dam burst?"
    • Pattison, K. (1998). "Why did the dam burst?" Invention and Technology, 14(1), 22-31.
    • (1998) Invention and Technology , vol.14 , Issue.1 , pp. 22-31
    • Pattison, K.1
  • 43
    • 11144332742 scopus 로고    scopus 로고
    • "An advanced engineering software for probabilistic-based assessment of concrete structure using nonlinear fracture mechanics"
    • A. Der Kiureghian,, eds. San Francisco, Millpress, Rotterdam
    • Pukl, R., Červenka, V., Strauss, A., Bergmeister, K., and Novák, D. (2003). "An advanced engineering software for probabilistic-based assessment of concrete structure using nonlinear fracture mechanics." Proc., ICASP 9, Int. Conf. on Applications of Statistics and Probability in Civil Engineering, A. Der Kiureghian,, eds. San Francisco, Millpress, Rotterdam, 1165-1171.
    • (2003) Proc., ICASP 9, Int. Conf. on Applications of Statistics and Probability in Civil Engineering , pp. 1165-1171
    • Pukl, R.1    Červenka, V.2    Strauss, A.3    Bergmeister, K.4    Novák, D.5
  • 44
    • 33846425394 scopus 로고
    • "Computer simulation of pullout test of headed anchors in a state of plane-stress"
    • W. Gerstle and Z. P. Bažant, eds., ACI SP-134, Am. Concrete Inst., Detroit
    • Pukl, R., Eligehausen, R., and Červenka, V. (1992). "Computer simulation of pullout test of headed anchors in a state of plane-stress." Concrete design based on fracture mechanics, W. Gerstle and Z. P. Bažant, eds., ACI SP-134, Am. Concrete Inst., Detroit, 79-100.
    • (1992) Concrete Design Based on Fracture Mechanics , pp. 79-100
    • Pukl, R.1    Eligehausen, R.2    Červenka, V.3
  • 45
  • 46
    • 7544245977 scopus 로고    scopus 로고
    • "Quasibrittle fracture scaling and size effect"
    • RILEM Committee QFS
    • RILEM Committee QFS (2004). "Quasibrittle fracture scaling and size effect." Mater. Struct., 37(272), 547-586.
    • (2004) Mater. Struct. , vol.37 , Issue.272 , pp. 547-586
  • 47
    • 33846444966 scopus 로고    scopus 로고
    • "Stochastic fracture mechanics and size effect"
    • Ph.D. thesis, Brno Univ. of Technology, Brno, Czech Republic. ISBN 80-214-2695-0
    • Vořechovský, M. (2004). "Stochastic fracture mechanics and size effect," Ph.D. thesis, Brno Univ. of Technology, Brno, Czech Republic. ISBN 80-214-2695-0.
    • (2004)
    • Vořechovský, M.1
  • 48
    • 33846452191 scopus 로고    scopus 로고
    • "Interplay of size effects in concrete specimens under tension studied via computational stochastic fracture mechanics"
    • in press
    • Vořechovský, M. (2006). "Interplay of size effects in concrete specimens under tension studied via computational stochastic fracture mechanics." Int. J. Solids Struct., in press.
    • (2006) Int. J. Solids Struct.
    • Vořechovský, M.1
  • 49
    • 28244443689 scopus 로고    scopus 로고
    • "Stochastic modeling of multi-filament yarns. II: Random properties over the length and size effect"
    • Vořechovský, M., and Chudoba, R. (2006). "Stochastic modeling of multi-filament yarns. II: Random properties over the length and size effect." Int. J. Solids Struct., 43(3-4), 435-458.
    • (2006) Int. J. Solids Struct. , vol.43 , Issue.3-4 , pp. 435-458
    • Vořechovský, M.1    Chudoba, R.2
  • 50
    • 84857006319 scopus 로고    scopus 로고
    • "Size effect in concrete specimens under tension: Interplay of sources"
    • Meschke, de Borst, Mang, Bičanič, eds., Taylor & Francis Group, London
    • Vořechovský, M., and Matesová, D. (2006). "Size effect in concrete specimens under tension: Interplay of sources." EURO-C 2006 Computational Modelling of Concrete Structures, Meschke, de Borst, Mang, Bičanič, eds., Taylor & Francis Group, London, pp. 905-914.
    • (2006) EURO-C 2006 Computational Modelling of Concrete Structures , pp. 905-914
    • Vořechovský, M.1    Matesová, D.2
  • 51
    • 33846445335 scopus 로고    scopus 로고
    • "Modeling statistical size effect in concrete by the extreme value theory"
    • Walraven, J., eds., A. A. Balkema, Delft, The Netherlands
    • Vořechovský, M., and Novák, D. (2004). "Modeling statistical size effect in concrete by the extreme value theory." 5th Int. Ph.D. Symp. in Civil Engineering, Vol. 2, Walraven, J., eds., A. A. Balkema, Delft, The Netherlands, pp. 867-875.
    • (2004) 5th Int. Ph.D. Symp. in Civil Engineering , vol.2 , pp. 867-875
    • Vořechovský, M.1    Novák, D.2
  • 53
    • 0002538705 scopus 로고
    • "A complex study on the reliability assessment of the containment of a PWR. Part II. Probabilistic approach to describe the behavior of materials"
    • (held in San Francisco), H. T. A. Jaeger and B. A. Boley, eds., European Communities, Brussels
    • Zech, B., and Wittmann, F. H. (1977). "A complex study on the reliability assessment of the containment of a PWR. Part II. Probabilistic approach to describe the behavior of materials." Trans., 4th Int. Conf. on Structural Mechanics in Reactor Technology (held in San Francisco), H. T. A. Jaeger and B. A. Boley, eds., European Communities, Brussels, Vol. J, 1-11.
    • (1977) Trans., 4th Int. Conf. on Structural Mechanics in Reactor Technology , vol.J , pp. 1-11
    • Zech, B.1    Wittmann, F.H.2


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