Mathematical Sciences

Postgraduate research

Matthew Tranter

Photo of  Matthew Tranter

PhD research student

Date of start of studies: 1 October 2014
Supervisors: Dr Karima Khusnutdinova

  • Mathematics MMath with Diploma in Professional Studies (2014)
  • Placement at DNV GL (formerly GL Noble Denton) 2011 – 2012 and continued work as a Technical Contractor.
  • Member of the Athena SWAN committee.
  • PGR representative for one year.
  • Organiser and chair of PGR seminars for just under two years.
  • Nonlinear waves
  • Solid mechanics
  • Asymptotic analysis (multiple-scale expansions)
  • Finite-difference ad pseudospectral numerical schemes
  • Wave scattering 
  • Integrability theory for Korteweg-de Vries and Ostrovsky equations

Project Title: Mathematical modelling of nonlinear wave scattering in delaminated elastic waveguides
My research focuses on the dynamics of long longitudinal strain waves in bonded structures  with delamination, and approximating the behaviour in the structure using asymptotic multiple-scales expansions. These asymptotic expansions are used to create a semi-analytical numerical scheme that is less expensive than the direct numerical modelling of the problem. I also make use of the integrability theory for the Korteweg-de Vries equation and use this to provide theoretical predictions for the behaviour in the delaminated section of a structure. The aim is to predict the behaviour of incident solitary waves in structures where the bonding between layers may change, for example a delaminated section of the structure or the presence of a soft bonding layer.

  • International PhD Exchanges February 2016 (£800) for visit to Russia
  • Department Grant (£200) February 2016 for visit to Russia
  • IMA Small Grant Scheme March 2016 (£600) for visit to Russia
  • Associate Fellow of Higher Education Academy March 2016