Albion College Mathematics and Computer Science Colloquium

Title: Unusual Behavior in Rubber Cubes
Speaker:Darren E. Mason
Associate Professor
Mathematics and Computer Science
Albion College

Abstract: In this talk we will consider the mathematical problem associated with special linear deformations of an incompressible and nonlinear elastic cube. We will discover that the problem admits a wide variety of different solutions, depending on the magnitude and direction of external isotropic forces. To understand why certain solutions are preferred by nature, we will then study an associated energy minimization problem that leads to a selection criterion to determine the optimal deformed state of the cube. Finally, we will connect the mathematical appearences of these multiple solutions, natural and mathematical stability, and the fundamentals of bifurcation theory.
Location: Palenske 227
Time: 3:10 PM

author  = "{Darren E. Mason}",
title   = "{Unusual Behavior in Rubber Cubes}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month   = "{7 April}",
year    = "{2011}"