Monday, October 17th 2016
Ricardo Nochetto, University of Maryland

Bilayer Plates: Model Reduction, Discretization and Gradient Flow

The bending of bilayer plates is a mechanism which allows for large deformations via small externally induced lattice mismatches of the underlying materials. Its mathematical modeling, discussed in this talk, consists of a nonlinear fourth order problem with a pointwise isometry constraint. A discretization based on Kirchhoff quadrilaterals is devised and its $\Gamma$-convergence is proved. A discrete gradient flow that decreases the energy is proposed and its convergence to stationary configurations is investigated. Its performance, as well as reduced model capabilities, are explored via several insightful numerical experiments involving large (geometrically nonlinear) deformations. This is joint work with S. Bartels and A. Bonito.

11:00 a.m. to 12:00 p.m., Inria of Paris reseach center, building C, Jacques-Louis Lions lecture hall. Coffee from 10:45 a.m.

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