TY - GEN

T1 - Scaling of failure probability of quasibrittle structures with large cracks

AU - Bazant, Zdenek P

AU - Hubler, M. H.

AU - Salviato, M.

AU - Le, J. L.

PY - 2013/12/1

Y1 - 2013/12/1

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:84892389268

SN - 9781138000865

T3 - Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013

SP - 955

EP - 958

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

T2 - 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013

Y2 - 16 June 2013 through 20 June 2013

ER -