Session Code: AS

Minisymposium Title: Variational Methods for Rods and Shells

Minisymposium Description: Slender-body theories, such as rod and shell theories, are important for modelling materials such as biomembranes, graphene, nanotubes, semiconductor films, and smart fabrics. This minisymposium brings together researchers working on the wrinkling, delamination, confinement, and motion of slender elastic bodies, and on the rigorous derivation of slender-body theories from three-dimensional nonlinear elasticity. The purpose of this minisymposium is also to exchange new tools in applied analysis and the calculus of variations, to allow us to face the mathematical challenges in developing the materials of tomorrow.

Minisymposium Organizer: David P. Bourne, Patrick Dondl

 Stuart Antman, University of Maryland, College Park, USA-Large Motions of Nonlinearly Viscoelastic Rods and Shells
Kaushik Bhattacharya, California Institute of Technology, USA-TBA
Giovanni Leoni, Carnegie Mellon University, USA-TBA
Peter Hornung-Nonlinear Bending Theories for Intrinsically Strained Plates
Marta Lewicka, University of Minnesota, USA-Some New Results on Prestrained Elasticity and Dimension Reduction
Heiner Olbermann-Interpenetration of Matter in Plate Theories Obtained As Gamma-Limits
Luca Lussardi-On a Variational Model for the Elasticity of Biomembranes
Benedikt Wirth-Computations in the Riemannian Space of Shells
Stephan Wojtowytsch-Phase Field Models with Topological Constraints
David P. Bourne-Self-Similar Folding Patterns in Partially Delaminated Thin Films
Robert V. Kohn, Courant Institute of Mathematical Sciences, New York University, USA-A Variational Perspective on the Wrinkling of a Stretched and Twisted Elastic Ribbon
Barbara Zwicknagl-Island Formation in Epitaxially Strained Films

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