Stochastic analysis and optimum design of structures subjected to fracture
Abstract
The present thesis deals with a unified framework for stochastic analysis and optimum design of structures subjected to fracture developed in the ambit of modern numerical techniques for crack growth simulation mainly based on enriched finite elements methods. This has been done within the context of the stochastic finite element method as well as within a modern optimization environment implementing metaheuristic search algorithms.In the first part of this thesis, the stochastic finite element method is presented within the framework of the sequentially linear analysis (SLA) scheme, providing solutions to stochastic nonlinear static problems for structures made with softening materials whose properties are randomly distributed in the structure, but also giving specific information on the probability of failure. The uncertainty characterizing the material properties, is quantified by using the theory of stochastic functions (processes/fields). The response variability of the structures ...
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