Relative bending energy for weakly prestrained shells
Silvia Jiménez Bolaños, Anna Zemlyanova · Rocky Mountain Journal of Mathematics · 2020
We derive a dimensionally reduced model for a thin film prestrained with a given incompatible Riemannian metric: G h ( x ′ , x 3 ) = I 3 + 2 h γ S ( x ′ ) + 2 h γ ∕ 2 x 3 B ( x ′ ) + higher order terms , γ > 2 , where 0