Statistical size effect in quasibrittle materials: Computation and extreme value theory

This paper analyzes various modeling alternatives for the statistical size effect in quasibrittle structures. The role of reliability techniques, encompassing the classical reliability theory at random variables level, the theory of extreme values in Weibull form, and the stochastic finite element method with random strength field, is examined with a view toward capturing both the deterministic and statistical size effects. The theoretical development describing deterministic and statistical size effects is documented using the crack initiation problem. Theoretical predictions are compared with the existing test data.

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