# Dr David Haughton

**Honorary Senior Research Fellow**(School of Mathematics & Statistics)

**email**:
David.Haughton@glasgow.ac.uk

Mathematics Building

## Research interests

I work in the field of non-linear elasticity. Currently I am working on a number of problems relating to exact solutions for three-dimensional compressible elasticity, bifurcation problems in composite (multi-layer) elastic tubes, some numerical analysis for numerical problems related to bifurcation and some adhesive membrane problems. I'm also looking at the modeling of elastic materials with unusual properties. These are biological materials common in people with various syndromes and or diseases.

## Publications

**16**.

## 2010

Merodio, J. and Haughton, D.M.
(2010)
Bifurcation of thick-walled cylindrical shells and the mechanical response of arterial tissue affected by Marfan’s syndrome.
*Mechanics Research Communications*, 37(1),
pp. 1-6.
(doi: 10.1016/j.mechrescom.2009.10.006)

## 2009

Haughton, D.M. and Merodio, J.
(2009)
The elasticity of arterial tissue affected by Marfan’s syndrome.
*Mechanics Research Communications*, 36(6),
pp. 659-668.

Haughton, D.M. and Merodio, J.
(2009)
The elasticity of arterial tissue affected by Marfan’s syndrome.
*Mechanics Research Communications*, 36(6),
pp. 659-668.
(doi: 10.1016/j.mechrescom.2009.04.002)

## 2008

Haughton, D.M.
(2008)
Linear equations of motion in finite elasticity.
*Journal of Elasticity*, 93(2),
pp. 189-198.

Haughton, D.M.
(2008)
Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity – II. Sixth order systems.
*Journal of Computational Physics*, 227(20),
pp. 8960-8967.

Haughton, D.M.
(2008)
Using null strain energy functions in compressible finite elasticity to generate exact solutions.
*Zeitschrift für Angewandte Mathematik und Physik*, 59(4),
pp. 730-749.
(doi: 10.1007/s00033-006-6062-y)

Haughton, D.M.
(2008)
Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity – I. Fourth order systems.
*Journal of Computational Physics*, 227(9),
pp. 4478-4485.

## 2006

Dorfmann, A. and Haughton, D.M.
(2006)
Stability and bifurcation of compressed elastic cylindrical tubes.
*International Journal of Engineering Science*, 44(18-19),
pp. 1353-1365.

Coman, C. and Haughton, D.M.
(2006)
On some approximate methods for the tensile instabilities of thin annular plates.
*Journal of Engineering Mathematics*, 56(1),
pp. 79-99.

Coman, C.D. and Haughton, D.M.
(2006)
Localized wrinkling instabilities in radially stretched annular thin films.
*Acta Mechanica*, 185(3-4),
pp. 179-200.

## 2005

Haughton, D.M.
(2005)
A comparison of stability and bifurcation criteria for a compressible elastic cube.
*Journal of Engineering Mathematics*, 53(1),
pp. 79-98.
(doi: 10.1007/s10665-005-4752-7)

## 2004

Haughton, D.M.
(2004)
On non-linear stability in unconstrained non-linear elasticity.
*International Journal of Non-Linear Mechanics*, 39(7),
pp. 1181-1192.
(doi: 10.1016/j.ijnonlinmec.2003.07.002)

Kirkinis, E., Ogden, R.W. and Haughton, D.M.
(2004)
Some solutions for a compressible isotropic elastic material.
*Zeitschrift für Angewandte Mathematik und Physik*, 55(1),
pp. 136-158.
(doi: 10.1007/s00033-003-3048-x)

## 2003

Haughton, D.M. and Kirkinis, E.
(2003)
A comparison of stability and bifurcation criteria for inflated spherical elastic shells.
*Mathematics and Mechanics of Solids*, 8(5),
pp. 561-572.
(doi: 10.1177/10812865030085008)

Haughton, D.M. and Chen, Y.C.
(2003)
Asymptotic bifurcation results for the eversion of elastic shells.
*Zeitschrift für Angewandte Mathematik und Physik*, 54(2),
pp. 191-211.
(doi: 10.1007/s000330300000)

Chen, Y.C. and Haughton, D.M.
(2003)
Stability and bifurcation of inflation of elastic cylinders.
*Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences*, 459,
pp. 137-156.
(doi: 10.1098/rspa.2002.1024)

**Wed Sep 22 10:12:07 2021 BST**.

**16**.

## Articles

Merodio, J. and Haughton, D.M.
(2010)
Bifurcation of thick-walled cylindrical shells and the mechanical response of arterial tissue affected by Marfan’s syndrome.
*Mechanics Research Communications*, 37(1),
pp. 1-6.
(doi: 10.1016/j.mechrescom.2009.10.006)

Haughton, D.M. and Merodio, J.
(2009)
The elasticity of arterial tissue affected by Marfan’s syndrome.
*Mechanics Research Communications*, 36(6),
pp. 659-668.

Haughton, D.M. and Merodio, J.
(2009)
The elasticity of arterial tissue affected by Marfan’s syndrome.
*Mechanics Research Communications*, 36(6),
pp. 659-668.
(doi: 10.1016/j.mechrescom.2009.04.002)

Haughton, D.M.
(2008)
Linear equations of motion in finite elasticity.
*Journal of Elasticity*, 93(2),
pp. 189-198.

Haughton, D.M.
(2008)
Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity – II. Sixth order systems.
*Journal of Computational Physics*, 227(20),
pp. 8960-8967.

Haughton, D.M.
(2008)
Using null strain energy functions in compressible finite elasticity to generate exact solutions.
*Zeitschrift für Angewandte Mathematik und Physik*, 59(4),
pp. 730-749.
(doi: 10.1007/s00033-006-6062-y)

Haughton, D.M.
(2008)
Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity – I. Fourth order systems.
*Journal of Computational Physics*, 227(9),
pp. 4478-4485.

Dorfmann, A. and Haughton, D.M.
(2006)
Stability and bifurcation of compressed elastic cylindrical tubes.
*International Journal of Engineering Science*, 44(18-19),
pp. 1353-1365.

Coman, C. and Haughton, D.M.
(2006)
On some approximate methods for the tensile instabilities of thin annular plates.
*Journal of Engineering Mathematics*, 56(1),
pp. 79-99.

Coman, C.D. and Haughton, D.M.
(2006)
Localized wrinkling instabilities in radially stretched annular thin films.
*Acta Mechanica*, 185(3-4),
pp. 179-200.

Haughton, D.M.
(2005)
A comparison of stability and bifurcation criteria for a compressible elastic cube.
*Journal of Engineering Mathematics*, 53(1),
pp. 79-98.
(doi: 10.1007/s10665-005-4752-7)

Haughton, D.M.
(2004)
On non-linear stability in unconstrained non-linear elasticity.
*International Journal of Non-Linear Mechanics*, 39(7),
pp. 1181-1192.
(doi: 10.1016/j.ijnonlinmec.2003.07.002)

Kirkinis, E., Ogden, R.W. and Haughton, D.M.
(2004)
Some solutions for a compressible isotropic elastic material.
*Zeitschrift für Angewandte Mathematik und Physik*, 55(1),
pp. 136-158.
(doi: 10.1007/s00033-003-3048-x)

Haughton, D.M. and Kirkinis, E.
(2003)
A comparison of stability and bifurcation criteria for inflated spherical elastic shells.
*Mathematics and Mechanics of Solids*, 8(5),
pp. 561-572.
(doi: 10.1177/10812865030085008)

Haughton, D.M. and Chen, Y.C.
(2003)
Asymptotic bifurcation results for the eversion of elastic shells.
*Zeitschrift für Angewandte Mathematik und Physik*, 54(2),
pp. 191-211.
(doi: 10.1007/s000330300000)

Chen, Y.C. and Haughton, D.M.
(2003)
Stability and bifurcation of inflation of elastic cylinders.
*Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences*, 459,
pp. 137-156.
(doi: 10.1098/rspa.2002.1024)

**Wed Sep 22 10:12:07 2021 BST**.