Length Scales, Asymptotics and Non-Linear Singularities

Abstract

This short introductory paper will try to give a common perspective to many of the problems and techniques covered in later papers. We shall draw attention to those common features that lead to singularities, and to any similarities in the techniques used to deal with them. Continuum mechanical theories for elasto-plastic solids, for materials with memory and for purely viscous or ideal fluids have tended to be treated separately leading to unnecessary and unhelpful specialisation. The mechanics of porous or fractured media have developed as almost independent subjects, while wave propagation is often studied in isolation. It is hoped that this symposium will help to restore the universality inherent in continuum mechanics.