[LA-SiGMA-LSU] Tim Healey's Seminar, Monday February 25, 3:30 p.m.

[Bety Rodriguez-Milla]

Dear All,

Tim Healey from Cornell University (formerly Theoretical and Applied Mechanics, now Mathematics and Mechanical & Aerospace Engineering) will be visiting LSU Monday and Tuesday next week (2/25-26) and giving the Math Department's Applied Analysis Seminar Monday at 3:30PM (Lockett 233). Please let Blaise Bourdin know (bourdin at lsu.edu) if you would like to meet him while he is visiting.


Nonlinear problems for thin elastic structures and the ubiquitous isola bifurcation
Timothy Healey, Cornell University Professor of Mathematics and Mechanical & Aerospace Engineering

Abstract: 
We begin with a simple 1-dimensional, 2-phase solid under "hard" tensile end loading in the presence of inter-facial effects. This is equivalent to a phase-field model, of the van der Waals-Cahn-Hilliard type, that illustrates well the concept of an isola bifurcation. Roughly speaking, the latter corresponds to the nucleation, growth, decay and eventual disappearance of a stable, inhomogeneous solution (representing here a phase mixture) as the loading parameter is monotonically increased. We then present results for three ostensibly distinct problems (models) - all exhibiting this same isola-bifurcation phenomenon: (i) twining in shape-memory solids; (ii) two-phase configuration of GUV's (fluid-elastic shell models of lipid-bilayer vesicles); (iii) wrinkling of highly stretched, finely thin rectangular sheets.

Regards,

-Bety