LDG approximation of large deformations of prestrained plates

• Published in: Journal of computational physics Vol. 448; p. 110719
• Main Authors: Bonito, Andrea, Guignard, Diane, Nochetto, Ricardo H., Yang, Shuo
• Format: Journal Article
• Language: English
• Published: Cambridge Elsevier Inc 01.01.2022; Elsevier Science Ltd
• Subjects: Approximation; Computational physics; Deformation; Discontinuous Galerkin; Gradient flow; Mathematical analysis; Metric constraint; Nonlinear elasticity; Plate bending; Plates; Prestrained materials; Reconstructed Hessian; Discontinuous Galerkin; Reconstructed Hessian; Prestrained materials; Nonlinear elasticity; Plate bending; Metric constraint

•Formal derivation of prestrained hyper-elastic plates model.•Novel reformulation amenable to variational approximation methods.•Novel finite element methods based on reconstructed Hessians.•Insightful numerical experiments. A reduced model for large deformations of prestrained plates consists of mi...