D. M. Haughton's Home Page

D. M. Haughton

Senior Lecturer

Telephone (UK)

(0141) 330 4748

Telephone (International)

+44 141 330 4748

Address

Dept. Mathematics,

 

Glasgow University,

 

Glasgow, G12 8QW, U.K.

Email

dmh@maths.gla.ac.uk

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.

Recent Publications:

  • (with Yi-chao Chen) Stability of inflation of elastic tubes. Proc. Roy. Soc. Lond. A. A459 (2003), 137-156.
  • (with Yi-chao Chen) Asymptotic results for the eversion of elastic spherical shells. ZAMP 54 (2003) 191-211.
  • (with Kirkinis, E) A Comparison of Stability and Bifurcation Criteria for Inflated Spherical Elastic Shells. Math. Mech. Solids 8 (2003), 561-572.
  • On non--linear stability in unconstrained non--linear elasticity. Int. J. Non--linear Mech. 39 (2004), 1181-1192.
  • (with R. W. Ogden and E. Kirkinis) Some solutions for a compressible isotropic elastic material. ZAMP 55 (2004)  1181-1192.
  • A Comparison of stability and bifurcation criteria for a compressible elastic cube. J. Engng. Maths. 53 (2005),  79—98.
  • (with C. D. Coman) Localized wrinkling instabilities in radially stretched annular thin films. Acta Mech. 185  (2006). 179-200.
  • (with C. D. Coman).  On sone approximate methods for the instabilities in thin annular plates in tension.  J Engng Maths. 56 (2006) 79-99.
  • (with A. Dorfmann) Stability and bifurcation of compressed elastic cylindrical tubes.  Int. J Engng Sci. 44 (2006) 1353-1365.
  • Using null strain energy functions in finite elasticity to generate exact solutions. ZAMP online (2007)
  • Evaluation of eigenfunctions from compound matrix variables in nonlinear elasticity----I. \\Fourth order systems. J. Computational Physics. 227 (2008) 4478-4485
  • Evaluation of eigenfunctions from compound matrix variables in nonlinear elasticity-II Sixth order systems. . J. Computational Physics 227 (2008) 8960-8967.
  • Linear equations of motion in finite elasticity. J. Elasticity 93 (2008) 189-198. DOI 10.1007/s10659-008-9173-1
  • (with J. Merodio) The elasticity of arterial tissue affected by Marfan's syndrome. Mech. Res. Comm. 36 (2009) 659-668. DOI:10.1016/j.mechrescom.2009.04.002

 

Book Chapter:

§         “Elastic membranes”. Chapter 7 in “Finite Elasticity: Theory and Applications”. Cambridge University Press (2001), Eds (R.W. Ogden, Y-B Fu).

                                 Ph.D. Theses:

§         A. Orr. Eversion and bifurcation of elastic cylinders. 1995

§         B. A. McKay. Wrinkling problems for non-linear elastic membranes. 1995