EVENT DETAILS AND ABSTRACT

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

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).