[Journal Publications | Book Article | General Article | Conference Articles | Seminars | Submitted Articles ]

Journal Publications

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 identifier (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).

1. Hunt, G. W., & Wadee, M. K. 1991. Comparative lagrangian formulations for localized buckling. Proc. R. Soc. Lond., A 434(1892), 485-502. Available online doi:10.1098/rspa.1991.0109.

2. Hunt, G. W., Wadee, M. K., & Shiacolas, N. 1993. Localized elasticæ for the strut on the linear foundation. Trans. ASME J. Appl. Mech., 60(4), 1033-1038. Available online doi:10.1115/1.2900971.

3. Wadee, M. K. 1996. Fat-fractal scaling in an area-preserving structural mapping. Comput. Struct., 58, 851-858. Available online doi:10.1016/0045-7949(95)00177-I.

4. 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.

5. Wadee, M. K., & Bassom, A. P. 1999. Effects of exponentially small terms in the perturbation approach to localized buckling. Proc. R. Soc. Lond., A 455(1986), 2351-2370. Available online doi:10.1098/rspa.1999.0407.

6. Wadee, M. K., Higuchi, Y., & Hunt, G. W. 2000. Galerkin approximations to static and dynamic localization problems. Int. J. Solids Struct., 37(22), 3015-3029. Available online doi:10.1016/S0020-7683(99)00052-9.

7. 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 doi:10.1023/A:1004611005185.

8. Wadee, M. K., & Bassom, A. P. 2000b. Characterization of limiting homoclinic behaviour in a one-dimensional elastic buckling model. J. Mech. Phys. Solids, 48(11), 2297-2313. Available online doi:10.1016/S0022-5096(00)00018-1.

9. Wadee, M. K., Coman, C. D., & Bassom, A. P. 2002. Solitary wave interaction phenomena in a strut buckling model incorporating restabilisation. Physica D, 163, 26-48. Available online doi:10.1016/S0167-2789(02)00350-0.

10. Coman, C. D., Bassom, A. P., & Wadee, M. K. 2003. Elasto-plastic localised responses in one-dimensional structural models. J. Eng. Math., 47(2), 83-100. Available online doi:10.1023/A:1025856602682.

11. Wadee, M. K., Coman, C. D., & Bassom, A. P. 2004. Numerical stability criteria for localized post-buckling solutions in a strut-on-foundation model. Trans. ASME J. Appl. Mech., 71(3), 334-341. Available online doi:10.1115/1.1757486.

12. Wadee, M. K. 2005. Stability of localized solutions under rigid loading in a heuristic buckling model. IMA J. Appl. Math., 70(1), 162-172. Available online doi:10.1093/imamat/hxh051.

13. 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.

14. 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.

15. Wadee, M. K., Wadee, M. A., & Bassom, A. P. 2007. Effects of orthotropy and variation of Poisson's ratio on the behaviour of tubes in pure flexure. J. Mech. Phys. Solids, 55(5), 1086-1102. Available online doi:10.1016/j.jmps.2006.10.003.

16. Scarpa, F., Smith, C. W., Ruzzene, M., & Wadee, M. K. 2008. Mechanical properties of auxetic tubular truss-like structures. Phys. Status Solidi B, 245(3), 584-590. Available online doi:10.1002/pssb.200777715.

17. Wadee, M. K., & Bassom, A. P. 2012. Unfolding of homoclinic and heteroclinic behaviour in a multiply-symmetric strut buckling problem. Q. Jl Mech. Appl. Math., 65(1), 141-160. Available online doi:10.1093/qjmam/hbr025.

18. 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 bilayer systems. Proc. R. Soc. Lond. A 471(2173): 20140695. Available online doi:10.1098/rspa.2014.0695.

19. 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 kink. Carbon, 102, 224-235. Available online doi:10.1016/j.carbon.2016.02.041.

20. 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 foundation. Proc. R. Soc. Lond. A 472(2188): 20150873. Available online doi:10.1098/rspa.2015.0873.

21. Liu, Y. P., Wang, C. G., Tan, H. F., & Wadee, M. K. 2016. The interactive bending wrinkling behaviour of inflated beams. Proc. R. Soc. Lond. A 472(2193): 20160504. doi:10.1098/rspa.2016.0504.

Book Article

22. Wadee, M. K. 1999. The elastic strut on an elastic foundation: A model localized buckling problem. Pages 31-53 of: Champneys, A. R., Hunt, G. W., & Thompson, J. M. T. (eds), Localization and solitary waves in solid mechanics. Singapore: World Scientific. 396pp. ISBN 981-02-3915-7, doi:10.1142/9789812814876_0002.

General Article

23. Maunder, E. A. W., Wadee, M. K., & Javadi, A. A., 2007. Computer modelling in three research projects at the University of Exeter. The Structural Engineer, 85(18), 31-34.

Conference Papers

24. 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.

25. 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.

26. 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.

27. Wadee, M. K., & Bassom A. P. 1999 (14 April) Perturbation methods relating to homoclinic solutions in a strut buckling model. Page 45 of: British Applied Mathematics Colloquium (BAMC99), University of Bath. 14 April 1999.

28. 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.

29. 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. Invited lecture.

30. 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.

31. 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.

32. Wadee, M. K. 2003 (7-11 July). Stability of localized buckling solutions in a model structure. Page 310 of: 5th International Congress on Industrial and Applied Mathematics (ICIAM 2003), Sydney, Australia.

33. Wadee, M. K. 2003 (26-28 August). Stability of localized buckling solutions for dead and rigid loading in a model structure. Page 22 of: Modern Mechanics and Mathematics: An International Conference in Honour of Ray Ogden's 60th Birthday, Keele University, 26-28 August 2003.

34. Wadee, M. K., Wadee, M. A., & Bassom, A. P. 2005 (30 August-1 September). Nonlinear bending of tubes. Page 146 of: Recent Advances in Nonlinear Mechanics 2005, University of Aberdeen, UK.

35. Wadee, M. A., Wadee, M. K., & Bassom, A. P., 2006. Analytical modelling of non-uniform deformation in thin-walled orthotropic tubes under pure bending. Pages 195-202 of: J. A. Parker, (ed.), ISTS-11: Eleventh international symposium and IIW international conference on tubular structures, Quebec City, Canada.

36. 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.

37. Wadee, M. K. (30 April 2014) Post buckling solutions of a plate on an elastic foundation subject to in-plane loading. British Applied Mathematics Colloquium (BAMC 2014), Cardiff University. 28-30 April 2014.

Other Invited Seminars and Presentations

• Extensions to Rayleigh-Ritz and Galerkin techniques in static and dynamic localization. Department of Engineering, Queen Mary and Westfield College, London. Research Seminar. 1 April 1998.

• Localization: Perturbations above and beyond. Department of Mathematical Sciences/Department of Mechanical Engineering, University of Bath. ``Brooke Session''. 10 June 1998.

• Homoclinic behaviour in a one-dimensional elastic buckling model. Department of Mathematical Sciences, University of Bath. Research Seminar. 1 December 2000.

• 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.

• Static localized buckling as solitary waves. Department of Mathematics, University of Reading. Research seminar. 31 May 2002

• 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.

• Tube bending: getting closer to practice. School of Engineering, University of Durham. Research seminar. 27 January 2006.

• A model for the pure bending of isotropic tubes: Beyond the Brazier effect. School of Mathematics and Statistics, University of Western Australia. Research seminar, ANZIAM WA Branch meeting. 15 August 2006.

• Bending of tubes and novel materials. University of Exeter. Presented at the First International Conference on Auxetic and Anomalous Systems. 5 September 2006.

• Unfolding of homoclinic and heteroclinic behaviour in a multi-symmetric strut buckling problem. School of Mathematics and Statistics, University of Western Australia. Research seminar, ANZIAM WA Branch meeting. 10 August 2011.

Submitted Articles

Preprints are available from me (m.k.wadee (@ex.ac.uk)). Or you may like to download them automatically by selecting the appropriate link below.
Each is available in PDF. Feedback welcome!

38. Wang, C. G., Liu, Y. P., Wadee, M. K., Lan, L., & Tan, H. F. 2016. Torsional wrinkling behaviour of graphene rings. Submitted to Int. J. Non-Linear Mech. on 22 January 2016.

    Abstract

    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.

    A PDF preprint of this paper is available here.