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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Colloquium
Ricardo Nochetto
University of Maryland
Title: Bilayer Plates: Model Reduction, Discretization and Gradient Flow

Abstract: 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.

Recording: http://mm.math.cmu.edu/recordings/cna/RicardoNochetto_small.mp4
Date: Tuesday, March 15, 2016
Time: 4:30 pm
Location: Wean Hall 7218
Submitted by:  Ian Tice