{"id":18423,"date":"2024-11-18T23:19:44","date_gmt":"2024-11-18T22:19:44","guid":{"rendered":"https:\/\/navier-lab.fr\/?page_id=18423"},"modified":"2024-11-18T23:38:21","modified_gmt":"2024-11-18T22:38:21","slug":"advanced-numerical-methods","status":"publish","type":"page","link":"https:\/\/navier-lab.fr\/en\/research\/materiaux-et-structures-architectures-msa\/modelisation-et-changements-dechelle\/advanced-numerical-methods\/","title":{"rendered":"Advanced numerical methods"},"content":{"rendered":"

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\nThe team develops various numerical methodologies as well as open-source libraries as part of its diverse research activities, such as multiscale modeling, structural analysis and optimization, the development of constitutive laws, and more.<\/p>\n

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Structural optimization<\/h2>read more<\/a><\/div>\n <\/article><\/div><\/div>
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Open-source software<\/h2>read more<\/a><\/div>\n <\/article><\/div><\/div>
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Machine learning<\/h2>read more<\/a><\/div>\n <\/article><\/div><\/div>
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FFT-based homogenization<\/h2>read more<\/a><\/div>\n <\/article><\/div><\/div><\/div><\/div><\/section>
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Structural optimization<\/h3>\n

J\u00e9r\u00e9my Bleyer, Micha\u00ebl Peigney, Romain Mesnil, Leyla Mourad (PhD), Hugo Masson (PhD)<\/h5>\n

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\nThe team focuses on developing new approaches for finding optimal shapes for structures. Notably, we proposed an original formulation to maximize the ultimate load-carrying capacity of a structure. The proposed approach is an extension of limit analysis methods and relies on convex optimization tools to address cases of materials with no tensile strength, such as masonry, or anisotropic reinforced materials. This work has enabled the automatic generation of strut-and-tie models used in the design of reinforced concrete structures, paving the way for numerous extensions to other types of constitutive laws and the search for optimal vaults in curved structures.<\/p>\n

Current work also focuses on accounting for uncertainties in topology optimization formulations, such as those inherent to additive manufacturing processes or those related to the loading conditions for which the structure is optimized.<\/p>\n

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R\u00e9f\u00e9rences<\/h3>\n