Scaling of failure probability of quasibrittle structures with large cracks

Zdenek P Bazant, M. H. Hubler, M. Salviato, J. L. Le

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the present paper, a probabilistic generalization of the Type 2 size effect is proposed. The generalization is derived through a large size asymptotic expansion ofLEFMequations combined with aweighted finite weakest-link model, which is justified by the fact that the structure survives if the crack tip location in any of a finite number of representative volume elements (RVE) cannot cause failure. Compared toType 1 failure, the zone of possible crack tip locations of non-negligible probability is much smaller and its extent in dimensionless coordinates decreases as the structure size increases. Consequently, the statistical component of the Type 2 size effect on the mean structural strength is much weaker. Yet, the size has a significant effect on the coefficient of variation of structural strength. An application to the probability distribution of the diagonal shear failure of reinforced concrete beams is demonstrated.

Original languageEnglish (US)
Title of host publicationSafety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
Pages955-958
Number of pages4
StatePublished - Dec 1 2013
Event11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 - New York, NY, United States
Duration: Jun 16 2013Jun 20 2013

Publication series

NameSafety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013

Other

Other11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
CountryUnited States
CityNew York, NY
Period6/16/136/20/13

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Safety, Risk, Reliability and Quality

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  • Cite this

    Bazant, Z. P., Hubler, M. H., Salviato, M., & Le, J. L. (2013). Scaling of failure probability of quasibrittle structures with large cracks. In Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 (pp. 955-958). (Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013).