Modeling statistical size effect in concrete by the extreme value theory

摘要

The paper analyzes various modeling alternatives for the statistical size effect in quasibrittle structures. The problematic feature of stochastic finite element method: how to capture the statistical part of the size effect phenomenon for structures of very large structures is tackled. The idea is to emulate the recursive stability property from which the Weibull extreme value distribution is derived. The feasibility of proposed approach is demonstrated on the crack initiation problem and predictions are compared with the existing test data.