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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Handle URL
http://hdl.handle.net/10442/hedi/38802
ND
38802
Alternative title
Στοχαστική ανάλυση και βέλτιστος σχεδιασμός κατασκευών υποκείμενων σε θραύση
Author
Georgioudakis, Emmanouil of Stamatis
Date
2014
Degree Grantor
National Technical University of Athens (NTUA)
Committee members
Παπαδρακάκης Μανόλης
Καββαδάς Μιχάλης
Λαγαρός Νίκος
Γαντές Χάρης
Βάγιας Ιωάννης
Θεοτόκογλου Ευστάθιος
Σπηλιόπουλος Κωνσταντίνος
Discipline
Natural Sciences
Computer and Information Sciences
Engineering and Technology
Civil Engineering
Keywords
Fracture; Crack propagation; Finite elements; Extended finite element method; Sequentially linear analysis; Stochastic analysis; Optimization; Computational mechanics; Evolutionary algorithms
Country
Greece
Language
English
Description
lxxii, 156 σ., im., tbls., fig., ch.
Rights and terms of use
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