Applied Mathematics Colloquium: Dr. Thomas Seidman
Friday, March 2, 2018 · 2 PM - 3 PM
Title: Convergence of approximations for a rod with self-contact
Speaker: Thomas Seidman, UMBC
Abstract: The Cosserat formulation is geometrically exact and so permits consideration of a flexible rod of radius rho with lateral self-contact, modeled by constrained minimization of potential energy.
Computationally, one would approximate the potential and reformulate the constraint through a penalty function. For this approach we show the expected convergence for the strain and the resulting configuration. More interesting is convergence of the computed contact force, since that involves delicate analysis in several reformulations of the local geometry.
This is joint work with Kathleen Hoffman