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Programma anno 2021
Seminario Matematico e Fisico di Milano
Ricardo H. Nochetto
University of Maryland
Local discontinuous Galerkin methods for prestrained and bilayer plates

Lunedì 12 Aprile 2021, ore 17:00
https://us02web.zoom.us/j/87144322081
Abstract
Prestrained plates are slender materials that develop internal stresses at rest, deform out of plane even without external forces, and exhibit nontrivial 3d shapes. Bilayer plates are slender structures made of two materials that react differently to environmental (thermal, electrical or chemical) actuation. In both cases the plates can exhibit large bending deformations that are geometrically nonlinear. We present reduced nonconvex models, develop variational formulations, and design local discontinuous Galerkin methods (LDGs). Moreover, we prove Gamma-convergence of the discrete energies and analyze discrete gradient flows for the computation of minimizers that provide control of the metric defect. We document the performance of the LDG methods with several insightful simulations.
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