The University of Sheffield
Department of Civil and Structural Engineering

Solutions To Inelastic Bifurcation Problems Using Second-order Plastic Flow Theory

Supervisor: Dr Jurgen Becque

The aim of the research is to investigate the stability of plates, shells and thin-walled beams and columns made of non-linear metals, such as aluminium and stainless steel alloys. These metals feature in important structural applications such as storage tanks, silos, roof and wall cladding and beams and columns in corrosive environments. Application of plastic flow theory to inelastic bifurcation problems in order to predict buckling loads has previously been problematic due to an inability to correctly model the inelastic material shear stiffness. Recent research, however, indicates that a second-order plastic flow formulation, in which the deformations of the structure are accounted for, could be successful in studying the aforementioned problems. The research aims to develop analytical and numerical solutions to the differential equations governing structural behaviour.

This project is NOT FUNDED, although Departmental/University scholarships are available for applicants who can demonstrate strong evidence of research potential.