Date/Time
Date(s) - 24/11/2023
3:30 pm - 4:30 pm

Location: HH 305

Speaker: Diane Guignard

Title: Local discontinuous Galerkin method for fourth order problems and application to the deformation of plates

Abstract: 
We study the elastic behavior of prestrained and bilayer thin plates which can undergo large deformations and achieve non-trivial equilibrium shapes. These phenomena can be observed in nature or be manufactured. Being able to simulate the deformation of such plates can be beneficial for many engineering applications, for instance to develop micro-mechanical devices or to design climate-responsive architecture. From a mathematical point of view, the dimensionally reduced problem (i.e., when the thickness of the plate goes to zero) consists of a fourth order minimization problem subject to a nonlinear and nonconvex metric constraint. In this talk, we introduce a numerical method based on a discontinuous Galerkin finite element method for the space discretization and a discrete gradient flow for the energy minimization. We discuss the properties of the method and present numerical experiments showcasing the large variety of shapes that can be achieved.

For recording of this colloquium, click here