Special Session 18: Advanced methodologies in mathematical materials science and biology

Numerical results on some mathematical models for elastic materials on the plane.

Toyohiko Aiki
Japan Women`s University
Japan
Co-Author(s):    Chiharu Kosugi
Abstract:
In this talk we propose some mathematical models describing expansion and contraction motion of rings made of elastic material. The model is given as an initial boundary value problem for the beam equation which is a wave equation with fourth derivative with respect to the space variable. The domain is a one-dimensional interval, and the unknown function takes values in a plane. The aim of this talk is to present our modeling process, and numerical results obtained by the structure preserving method.