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math.NA2023
Finite Element Methods for the Stretching and Bending of Thin Structures with Folding
Andrea Bonito, Diane Guignard, Angelique Morvant
In [Bonito et al., J. Comput. Phys. (2022)], a local discontinuous Galerkin method was proposed for approximating the large bending of prestrained plates, and in [Bonito et al., IM…
math.NA2022
Numerical approximations of thin structure deformations
Andrea Bonito, Diane Guignard, Angelique Morvant
We review different (reduced) models for thin structures using bending as principal mechanism to undergo large deformations. Each model consists in the minimization of a fourth ord…