Analysis Seminar

Title: Energy scaling laws for compressed thin elastic sheets
Speaker: Ian Tobasco
Speaker Info: NYU
Brief Description:
Special Note:

A longstanding open problem in elasticity is to identify the minimum energy scaling law of a crumpled sheet of paper as thickness tends to zero. Though much is known about scaling laws for thin sheets in tensile settings, the compressive regime is mostly unexplored. I will discuss the analysis of two examples: an axially compressed thin elastic cylinder, and an indented cone. My focus in this talk will be the dependence of the minimum energy on the thickness and loading in the Foppl-von Karman model. I will prove upper and lower bounds for these scalings. The work on indented cones is in collaboration with Heiner Olbermann (Bonn) and Sergio Conti (Bonn).
Date: Monday, April 25, 2016
Time: 4:10pm
Where: Lunt 105
Contact Person: Tuca
Contact email: auffing@math.northwestern.edu
Contact Phone: 847-491-5580
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