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Fast multipole boundary element method approach for multicracked structures : application to road pavement reinforcement

Abstract : Cracking is one of the major causes of structural degradation in civil engineering. Numerical modeling of cracks and their propagation, requires the development of efficient algorithms. This thesis presents the optimization and extension of an existing numerical tool, for the efficient simulation of crack propagation problems in civil engineering structures. The presented code is based on Galerkin integral equations accelerated by the fast multipole method. Integral methods are accurate in fracture mechanics problems, for the computation of stress and displacement fields near cracks and have the advantage of reducing the discretization dimension. The calculation cost of integral methods can be reduced with the fast multipole method, which is based on a reformulation of the fundamental solutions into series of product of functions. The performance of the resulting code is improved in this work through the implementation of a data reusing technique, the parallelization of time-consuming parts and the proposal of a new method of data storage. Extension work is also carried out to consider complex multi-domain problems, the treatment of surface breaking cracks and the study of complex problems by coupling with the finite element method. The obtained code has made it possible to simulate crack propagation in road pavement structures. Our work has permitted to study the effect of fiberglass grid reinforcements on pavement cracking.
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https://tel.archives-ouvertes.fr/tel-02526105
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Submitted on : Tuesday, March 31, 2020 - 12:51:08 PM
Last modification on : Monday, April 6, 2020 - 1:10:48 PM

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DANSOU_Anicet_2019_ED269.pdf
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  • HAL Id : tel-02526105, version 1

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Anicet Dansou. Fast multipole boundary element method approach for multicracked structures : application to road pavement reinforcement. Civil Engineering. Université de Strasbourg, 2019. English. ⟨NNT : 2019STRAD043⟩. ⟨tel-02526105⟩

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