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Keynote Lecture Series Archive

Fall, 2019

Closed Nonorientable Ribbons from Unstretchable Helicoidal Material Surfaces

Eliot Fried

Mathematics, Mechanics, and Materials Unit
Okinawa Institute of Science and Technology Graduate University(OIST)
Okinawa, Japan

A material surface is unstretchable as a two-dimensional physical object if the intrinsic length between each pair of its material points cannot change during any deformation. Intuitively, such a surface can bend and twist but its material filaments can never extend or contract. The constraint that models this intense kinematic idealization must affirm that no surface strain can be developed in any possible deformation, and it must allow for the existence of constraint reactions and the consequential development of related tractions in any deformation. This talk will focus on a theory for determining the shape of closed ribbons made from bending and twisting a unstretchable helicoidal material surface. Surprising connections to the kinematics of underconstrained linkages, the dynamics of closed vortex filaments, and the chemistry of cyclic hydocarbon compounds will be discussed.

Eliot Fried earned his Ph.D. in Applied Mechanics from the California Institute of Technology in 1991. He received a National Science Foundation Mathematical Sciences Postdoctoral Fellowship, a Japan Society for the Promotion of Science Postdoctoral Research Fellowship, and a National Science Foundation Research Initiation Award. Currently he heads the Mathematics, Mechanics, and Materials Unit. Previously, at McGill University, he was a Professor of Mechanical Engineering and the Tier 1 Canada Research Chair in Interfacial and Defect Mechanics. Before that he held tenured positions in the Department of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign and the Department of Mechanical Engineering & Materials Science at Washington University in St. Louis. At Illinois, he was a Fellow of the Center of Advanced Study and was awarded a Critical Research Initiative Grant. In his research, he uses statistical and continuum mechanics and thermodynamics, geometry, asymptotic analysis, bifurcation theory, and scientific computing to study fundamental and applied problems involving novel material systems and processes.

Wednesday, November 20, 2019
3:30 PM
Stauffer Science Lecture Hall, Room 102 (SLH 102)

Refreshments will be served at 3:15 pm.

host: Oberai