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LDG approximation of large deformations of prestrained plates by Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo is a scholarly article available to read on EtoBox.

What is LDG approximation of large deformations of prestrained plates about?

A reduced model for large deformations of prestrained plates consists of minimizing a second order bending energy subject to a nonconvex metric constraint. The former involves the second fundamental form of the middle plate and the later is a restriction on its first fundamental form. We discuss a formal derivation of this reduced model along with an equivalent formulation that makes it amenable computationally. We propose a local discontinuous Galerkin (LDG) finite element approach that hinges on the notion of reconstructed Hessian. We design discrete gradient flows to minimize the ensuing nonconvex problem and to find a suitable initial deformation. We present several insightful numerical experiments, some of practical interest, and assess various computational aspects of the approximation process.

Author

Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo

Published

2020

Language

EN