# Dr Tom Shearer

Room 1.113

Alan Turing Building

The University of Manchester

Oxford Road

Manchester

M13 9PL

Email: Tom.Shearer@manchester.ac.uk

Tel: +44(0)161 275 5865

Lecturer in Applied Mathematics and Materials Science jointly based in the schools of Mathematics and Materials at the University of Manchester.

My office hours are 10-12 on Mondays.

## Research Interests

- Solid mechanics
- Biomechanics
- Ligaments and tendons
- Biological soft tissues
- X-ray computed tomography
- Waves

## PhD Opportunities

I am currently offering PhD projects in the following areas. If you are interested in working on one of these problems, please get in touch!

- Computational modelling of biological soft tissues with Professor Andrew Hazel (School of Mathematics)
- Microstructural constitutive modelling of biological soft tissues with Professor William Parnell (School of Mathematics)

## Publications

- Craddock, R.J., Hodson, N.W., Ozols, N., Shearer, T., Hoyland, J.A. and Sherratt, M.J. 2018.
*Extracellular matrix fragmentation in young, healthy cartilaginous tissues*.*Eur. Cell Mater.***35**, 34-53 (DOI). - Gower, A.L., Shearer, T. and Ciarletta, P. 2017.
*A new restriction for initially stressed elastic solids*.*Q. J. Mech. Appl. Math.***70**, 455-478 (DOI). - Shearer, T., Thorpe, C.T. and Screen, H.R.C. 2017.
*The relative copmpliance of energy-storing tendons may be due to the helical fibril arrangement of their fascicles*.*J. R. Soc. Interface***14**, 20170261 (DOI). - Shearer, T., Bradley, R.S., Hidalgo-Bastida, A., Sherratt, M.J. and Cartmell, S.H. 2016.
*Three-dimensional visualisation of soft biological structures by X-ray computed micro-tomography*.*J. Cell Sci.***129**, 2483-2492 (DOI). - Pearce, P. and Shearer, T. 2016.
*Maths in medicine: How to survive a science fair*.*Mathematics Today***52**, 135-139. - Balint, R., Lowe, T. and Shearer, T. 2016.
*Optimal contrast agent staining of ligaments and tendons for X-Ray computed tomography*.*PLoS ONE***11**, e0153552 (DOI). - Shearer, T., Parnell, W.J. and Abrahams, I.D. 2015.
*Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media*.*Proc. R. Soc. A***471**, 20150450 (DOI). ERRATA - Shearer, T. 2015.
*A new strain energy function for modelling ligaments and tendons whose fascicles have a helical arrangement of fibrils*.*J. Biomech.***48**, 3017–3025 (DOI). - Shearer, T. 2015.
*A new strain energy function for the hyperelastic modelling of ligaments and tendons based on fascicle microstructure*.*J. Biomech.***48**, 290–297 (DOI). - Shearer, T., Rawson, S., Castro, S.J., Balint, R., Bradley, R.S., Lowe, T., Vila-Comamala, J., Lee, P.D. and Cartmell, S.H. 2014.
*X-ray computed tomography of the anterior cruciate ligament and patellar tendon*.*Muscle, Ligaments, Tendons J.***4**, 238–244 (DOI). - Shearer, T., Abrahams, I.D., Parnell, W.J. and Daros, C.H. 2013.
*Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder*.*Q. J. Mech. Appl. Math.***66**, 466–487 (DOI). - Parnell, W.J. and Shearer, T. 2013.
*Antiplane elastic wave cloaking using metamaterials, homogenization and hyperelasticity*.*Wave Motion***50**, 1140–1152 (DOI). - Parnell, W.J., Norris, A.N. and Shearer, T. 2012.
*Employing pre-stress to generate finite cloaks for antiplane elastic waves*.*Appl. Phys. Lett.***100**, 171907 (DOI). - Shearer, T. 2012.
*Waves in nonlinear elastic media with inhomogeneous pre-stress*, PhD Thesis, University of Manchester.

## Conference and Seminar Talks

*Mathematical modelling of biological soft tissues**Microstructural mathematical modelling of tendon viscoelasticity**Fibrous tissue modelling**A micromechanical model for the viscoelastic behaviour of tendon**Sequential straightening and loading viscoelasticity**Microstructural models of ligament and tendon elasticity and viscoelasticity**A new strain energy function for the hyperelastic modelling of ligaments and tendons**From the microscale to the macroscale: How the hierarchical structure of ligaments and tendons affects their mechanical behaviour**Antiplane elastic wave cloaking using metamaterials, homogenisation and hyperelasticity**The influence of inhomogeneous pre-stress on wave scattering and propagation in nonlinear elastic materials**Scattering from a cylindrical void in a pre-stressed nonlinear elastic material**Scattering of compressional waves from a spherical void in a pre-stressed non-linear elastic host medium**Torsional wave propagation in a pre-stressed annular cylinder*

## Employment

- Lecturer in Applied Mathematics and Materials Science, University of Manchester, 2017–Present.
- EPSRC Postdoctoral Research Fellow, University of Manchester, 2014–2017.
- EPSRC Doctoral Prize Fellow, University of Manchester, 2013–2014.

## Education

- PhD Applied Mathematics, University of Manchester, 2009–2012. Supervised by Professor David Abrahams and Professor William Parnell.
- BSc. (Hons) Mathematics, University of Manchester, 2006–2009.

## Links

- My Google Scholar profile.
- My Research Gate profile.