@article{grolet:hal-04605208, TITLE = {{High order invariant manifold model reduction for systems with non-polynomial non-linearities: geometrically exact finite element structures and validity limit}}, AUTHOR = {Grolet, Aur{\'e}lien and Vizzaccaro, Alessandra and Debeurre, Marielle and Thomas, Olivier}, URL = {https://hal.science/hal-04605208}, JOURNAL = {{International Journal of Non-Linear Mechanics}}, PUBLISHER = {{Elsevier}}, VOLUME = {178}, PAGES = {105138}, YEAR = {2024}, MONTH = Apr, DOI = {10.1016/j.ijnonlinmec.2025.105138}, PDF = {https://hal.science/hal-04605208v2/file/article_normal_form_revised_clean.pdf}, HAL_ID = {hal-04605208}, HAL_VERSION = {v2}, }