Surface Instabilities in Nonlinear Elastic Materials

  • Joel Cawte

Student thesis: Doctoral ThesisPhD

Abstract

In this thesis, we work in the setting of nonlinear compressible and incompressible hyperelasticity. We focus on surface instabilities, in particular sulcus (crease) formation and surface wrinkling at the free boundary of a deformed elastic body. We associate the occurrence of these phenomena with the concepts of strong and weak local minimisers in the calculus of variations.We study conditions under which crease formation is energetically favourable, and give new algebraic criteria for the initiation of surface wrinkling by studying solutions of the underlying linearised equilibrium equations.This study was originally initiated in order to understand the failure (via creasing)of a rubber component used in oil exploration equipment.
Date of Award22 Jul 2020
Original languageEnglish
Awarding Institution
  • University of Bath
SupervisorChris Bowen (Supervisor), Jeyabal Sivaloganathan (Supervisor) & Vincent Coveney (Supervisor)

Keywords

  • Elasticity

Cite this

Surface Instabilities in Nonlinear Elastic Materials
Cawte, J. (Author). 22 Jul 2020

Student thesis: Doctoral ThesisPhD