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Computational Science, Engineering & Technology Series
ISSN 17593158 CSETS: 7
COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, Z. Bittnar
Chapter 4
Stochastic Modelling of Failure and Size Effect of Concrete Structures D. Novák
Faculty of Civil Engineering, Brno University of Technology, Czech Republic D. Novák, "Stochastic Modelling of Failure and Size Effect of Concrete Structures", in B.H.V. Topping, Z. Bittnar, (Editors), "Computational Structures Technology", SaxeCoburg Publications, Stirlingshire, UK, Chapter 4, pp 93122, 2002. doi:10.4203/csets.7.4
Keywords: failure probability, nonlinear fracture mechanics, random fields, safety and reliability, size effect, stochastic finite element method, Latin hypercube sampling, Weibull theory.
Summary
The paper describes different methodologies to capture both reliability
and size effect of concrete structures. Structural reliability
modeling based on classical random variables approach, Weibull
theories and stochastic finite element method using random fields
is briefly summarized with respect to capturing statistical size
effect. The transition from deterministic to statistical size
effect, research development and roles of approaches are
illustrated using the well known problem of modulus of rupture. The
theoretical achievements are well supported by experimental test
data. Finally the possibilities of probabilistic treatment of
complex fracture mechanics problems using the combination of feasible
type of Monte Carlo simulation and nonlinear fracture mechanics
computational modeling are presented. This new and promising
interdisciplinary effort is illustrated by statistical
and reliability analysis of particular problems.
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