Most of the papers listed below are available on-line from the
journals' official websites. Please follow the links to the journals
as appropriate. (Where known, I have used the digital object
(doi) of the on-line version of
the paper so that the link should always be valid.)
Otherwise, I have a limited number of reprints which
you can request by sending mail to m.k.wadee (@ex.ac.uk).
Wadee, M. K., Hunt, G. W., & Whiting,
A. I. M. 1997. Asymptotic and Rayleigh-Ritz routes
to localized buckling solutions in an elastic instability
problem. Proc. R. Soc. Lond., A 453(1965),
2085-2107. Available online doi:10.1098/rspa.1997.0112.
Wadee, M. K., & Bassom, A. P. 2000a.
Restabilization in structures susceptible to localized
buckling: an approximate method for the extended post-buckling
regime. J. Eng. Math., 38(1), 77-90. Available online
Wadee, M. K., Coman, C. D., & Bassom,
A. P. 2002.
Solitary wave interaction phenomena in a strut buckling model
163, 26-48. Available online
Wadee, M. K., Wadee, M. A., Bassom, A. P., &
Aigner, A. A. 2006. Longitudinally inhomogeneous deformation
patterns in isotropic tubes under pure
bending. Proc. R. Soc. Lond., A 462(2067), 817-838.
Available online doi:10.1098/rspa.2005.1596.
Wadee, M. A., Wadee, M. K., & Bassom, A. P.
2006. Analytical modelling of non-uniform deformation in
thin-walled orthotropic tubes under pure bending. Welding in
the World, 50(Spec. iss.), 179-186.
Zhao, Y., Cao, Y., Hong, W., Wadee, M. K., & Feng,
X.-Q. 2015. Towards a quantitative understanding of
period-doubling wrinkling patterns occurring in film/substrate
R. Soc. Lond. A 471(2173): 20140695.
Wang, C. G., Liu, Y. P., Al-Ghalith, J., Dumitrică,
T., Wadee, M. K., & Tan, H. F. 2016. Buckling behavior
of carbon nanotubes under bending: from ripple to
Wadee, M. K., Lloyd, D. J. B., & Bassom,
A. P. 2016. On the interaction of uni-directional and
bi-directional buckling of a plate supported by an elastic
R. Soc. Lond. A 472(2188): 20150873.
Wadee, M. K. 1996 (July).
Elastic localized buckling of long uniform structures under axial compression.
Pages 39-42 of: Third biennial European joint conference on engineering systems design & analysis, vol. 1. ASME, Montpellier, France.
Wadee, M. K. 1998 (April).
On the combination of symbolic computation and numerical methods
in structural stability. Pages 5-8 of: The sixth ACME annual
conference, Association for Computational Mechanics in
Engineering, University of Exeter, UK.
Wadee, M. K. 1998 (1-5 June).
Galerkin solutions to localization in elastic and visco-elastic
buckling problems. Pages 456-458 of: The fourth international
conference on mathematical and numerical aspects of wave
propagation (WP98), SIAM, Colorado School of Mines, Golden CO, USA.
Wadee, M. K. 2000 (6-9 April). Nonlinear dynamics,
asymptotics and localization in
structural buckling. Page 28 of: Workshop
on Nonlinear Elasticity. Department of Mathematics, City
University of Hong Kong.
Wadee, M. K. 2001 (18-23 August). Localized buckling,
double-scale perturbations and exponential
asymptotics. Page 102 of: The twelfth international
colloquium on differential
equations. Technical University of Plovdiv, Bulgaria.
Coman, C. D., Wadee, M. K. & Bassom
A. P. 2002 (June). Solitary wave interaction in a beam on a
nonlinear elastic foundation. Page 419 of: Proceedings
of the 14th US National Congress of Theoretical and Applied
Mechanics, Blacksburg VA, USA.
Wadee, M. K., Coman, C. D., & Bassom,
A. P. 2002 (13-16 August). Application of beyond-all-orders
asymptotics to a one-dimensional buckling model. Pages
683-686 of: Proceedeings of the 4th International Conference on
Nonlinear Mechanics (ICNM IV), Shanghai, China.
Armitage, P. R., Bekers, L. V., & Wadee, M. K.
2009 (22-25 June). The detection of micro-cracks in concrete
by the measurement of ultrasonic harmonic generation and
inter-modulation. Pages 407-412 of: Grantham, M., Majorana,
C. & Solmoni, V., (eds), Proceedings of the International
Conference on Concrete Solutions, Padua, Italy.
Elastic localized buckling: an investigation into the
failure of structural components. A poster presented in a
special session for Britain's Younger Engineers at the House of
Commons. 4 December 2000.
A model for the pure bending of isotropic tubes:
localized buckling and the Brazier effect. Department of
Mathematical Sciences/Department of Mechanical
Engineering, University of Bath. ``Brooke
Session''. Research seminar. 7 June 2005.
This paper investigates the torsional wrinkling
characteristics of graphene rings derived from non-dimensional
nonlinear von Kàrmàn theory. The buckling behaviour including
the wrinkling patterns and the post-wrinkling stresses are
determined numerically by combining a compound series method
with a finite difference method. The results show that
wrinkle evolution is dominated by the post-wrinkling stress
components along the wrinkle texture direction of the graphene
ring. The value of the wrinkle level is close to that of the
post-wrinkling stress level under the same torsion, which
reveals a close interaction between the wrinkle pattern and
the stress components. Compared with the results obtained by
molecular dynamics simulations, the predicted ratio of the
wrinkle amplitude to wavelength provides a direct
understanding and a reliable accuracy of the post-wrinkling
characteristics. In addition, the results in this work may
provide good references to design and tune the properties of
NEMS/MEMS based on the wrinkled graphene.