Asymptotic analysis of a thin linearly elastic plate equipped with a periodic distribution of stiffeners

Christian Licht (1, 2, 3) , Thibaut Weller (1)

1 M3 - Mathématiques et Modélisations en Mécanique
2 Mahidol University [Bangkok]
3 Centre of Excellence in Mathematics

We derive several models of thin plates equipped with a periodic distribution of stiffeners. Depending on the orders of magnitude of the different parameters involved, diverse situations arise, from classical Kirchhoff-Love behaviour with additional energy term to full rigidification.

Mots clés: Hard abutting and rigidification of plates; Asymptotic modelling; Periodic homogenization; Reduction of dimension; Variational convergence

Domaines: Mécanique des structures [physics.class-ph]

Christian Licht, Thibaut Weller. Asymptotic analysis of a thin linearly elastic plate equipped with a periodic distribution of stiffeners. Comptes Rendus Mécanique, 2019, 347 (8), pp.555-560. ⟨10.1016/j.crme.2019.07.001⟩. ⟨hal-02315121⟩