Keywords

• cloaking theory
• Composite materials
• Constitutive modelling
• Rubber composites

Research Group(s)

• Continuum Mechanics
• Continuum Mechanics Solid Mechanics
• Continuum Mechanics Waves
• Industrial and Applied Mathematics

• Aug 2016 - present.         Professor of Applied Mathematics, School of Mathematics, University of Manchester
• Oct 2012 - Aug 2016.        Reader in Applied Mathematics, School of Mathematics, University of Manchester
• Aug 2011 - Oct 2012.     Senior Lecturer in Applied Mathematics, School of Mathematics, University of Manchester
• Sep 2009 - Aug 2011.   Lecturer in Applied Mathematics, School of mathematics. University of Manchester
• Sep 2007-Sep 2009.     Faculty Research Fellow, School of Mathematics, University of Manchester
• Sep 2004-Sep 2007.     EPSRC Postdoctoral Research Fellow. School of Mathematics, University of Manchester
• Apr 2001-Aug 2004.       PhD in Applied Mathematics. School of Mathematics University of Manchester
• Sep 1999-Sep 2000.     MSc in Mathematical Modelling and Scientific Computing (Distinction). OCIAM. University of Oxford
• Sep 1996-Sep 1999.     BSc in Mathematics (First class). Department of Mathematics, University of Bristol

For further details of my research interests, please see my webpage at www.williamjparnell.weebly.com

I am Professor of Applied Mathematics in the Department of Mathematics at the University of Manchester. 

My research falls into the broad area of "continuum mechanics" or more specifically in the areas of solid mechanics, acoustics, elasticity, elastodynamics, homogenization and micromechanics.  Applications of this work lie in metamaterials, industrial composites and biological media such as soft tissue and bone.  I am also interested more generally in the mathematical modelling of physical processes and industrial problems, and the application and development of novel mathematical methods. My EPSRC Fellowship "NEMESIS", involved materials modelling projects associated with soft tissue, metamaterials and industrial composites. At the heart of the project though was fundamental, novel applied mathematics. I am also grateful to the EPSRC for funding an extension to my fellowship, which is associated with the design and manufacture of new microstructured materials.