Peer-reviewed publications

[1]
2001Pichugin, A. V. and Rogerson, G. A. (2001) A two-dimensional model for extensional motion of a pre-stressed incompressible elastic layer near cut-off frequencies, IMA Journal of Applied Mathematics, 66(4), pp. 357–385, doi:10.1093/imamat/66.4.357.  bura 
[2]
2002Pichugin, A. V. and Rogerson, G. A. (2002) Anti-symmetric motion of a pre-stressed incompressible elastic layer near shear resonance, Journal of Engineering Mathematics, 42(2), pp. 181–202, doi:10.1023/A:1015293700959.  bura 
[3]
Pichugin, A. V. and Rogerson, G. A. (2002) An asymptotic membrane-like theory for long wave motion in a pre-stressed elastic plate, Proceedings of the Royal Society of London, Series A, 458(2022), pp. 1447–1468, doi:10.1098/rspa.2001.0932.  bura 
[4]
2004Pichugin, A. V. and Rogerson, G. A. (2004) An asymptotic model for long-wave symmetric motion of a pre-stressed incompressible plate with fixed faces, in Theories of Plates and Shells: Critical Review and New Applications, Kienzler, R., Altenbach, H., and Ott, I. (eds.), Lecture Notes in Applied and Computational Mechanics, 16, Springer, pp. 177–184, ISBN 978-3-540-20997-3.
[5]
2005Kaplunov, J. D. and Pichugin, A. V. (2005) A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate, Journal of the Mechanics and Physics of Solids, 53(5), pp. 1079–1098, doi:10.1016/j.jmps.2004.12.002.  bura 
[6]
Destrade, M., Ottenio, M., Pichugin, A. V. and Rogerson, G. A. (2005) Non-principal surface waves in deformed incompressible materials, International Journal of Engineering Science, 43(13–14), pp. 1092–1106, doi:10.1016/j.ijengsci.2005.03.009.  bura 
[7]
2006Kaplunov, J. D., Pichugin, A. V. and Rogerson, G. A. (2006) On a Lamb-type problem for a bi-axially pre-stressed incompressible elastic plate, IMA Journal of Applied Mathematics, 71(2), pp. 171–185, doi:10.1093/imamat/hxh097.  bura 
[8]
Zernov, V., Pichugin, A. V. and Kaplunov, J. (2006) Eigenvalue of a semi-infinite elastic strip, Proceedings of the Royal Society A, 462(2068), pp. 1255–1270, doi:10.1098/rspa.2005.1615.  bura 
[9]
Watson, S., MacPherson, W. N., Barton, J. S., Jones, J. D. C., Tyas, A., Pichugin, A. V., Hindle, A., Parkes, W., Dunare, C. and Stevenson, T. (2006) Investigation of shock waves in explosive blasts using fibre optic pressure sensors, Measurement Science and Technology, 17(6), pp. 1337–1342, doi:10.1088/0957-0233/17/6/008.
[10]
2007Every, A. G, Kaplunov, J. D., Pichugin, A. V. and Rogerson, G. A. (2007) Wave arrival singularities at folds in the acoustic wave surfaces of anisotropic solids and their unfolding under weak spatial dispersion, Proceedings of the Royal Society A, 463(2087), pp. 2983–3000, doi:10.1098/rspa.2007.0065.
[11]
2008Pichugin, A. V., Askes, H. and Tyas, A. (2008) The equivalence of asymptotic homogenisation procedures and fine-tuning of continuum theories, Journal of Sound and Vibration, 313(3–5), pp. 858–874, doi:10.1016/j.jsv.2007.12.005.  bura 
[12]
Askes, H., Metrikine, A. V., Pichugin, A. V. and Bennett, T. (2008) Four simplified gradient elasticity models for the simulation of dispersive wave propagation, Philosophical Magazine, 88(28–29), pp. 3415–3443, doi:10.1080/14786430802524108.  bura 
[13]
2009Kaplunov, J. D. and Pichugin, A. V. (2009) On rational boundary conditions for higher-order long-wave models, in IUTAM Symposium on Scaling in Solid Mechanics, Borodich, F. M. (ed.), IUTAM Bookseries, 10, Springer, pp. 81–90, ISBN 978-1-4020-9032-5, doi:10.1007/978-1-4020-9033-2_8.  bura 
[14]
Kaplunov, J., Pichugin, A. V. and Zernov, V. (2009) Extensional edge modes in elastic plates and shells, The Journal of the Acoustical Society of America, 125(2), pp. 621–623, doi:10.1121/1.3056558.
[15]
2010Moukhomodiarov, R. R., Pichugin, A. V. and Rogerson, G. A. (2010) The transition between Neumann and Dirichlet boundary conditions in isotropic elastic plates, Mathematics and Mechanics of Solids, 15(4), pp. 462–490, doi:10.1177/1081286509103781.  bura 
[16]
Craster, R. V., Kaplunov, J. and Pichugin, A. V. (2010) High frequency homogenization for periodic media, Proceedings of the Royal Society A, 466(2120), pp. 2341–2362, doi:10.1098/rspa.2009.0612.
[17]
2011Ahmad, M., Nolde, E. and Pichugin, A. V. (2011) Explicit asymptotic modelling of transient Love waves propagated along a thin coating, Zeitschrift für angewandte Mathematik und Physik, 62(1), pp. 173–181, doi:10.1007/s00033-010-0095-y.  bura 
[18]
Tyas, A., Pichugin, A. V. and Gilbert, M. (2011) Optimum structure to carry a uniform load between pinned supports: exact analytical solution, Proceedings of the Royal Society A, 467(2128), pp. 1101–1120, doi:10.1098/rspa.2010.0376.
[19]
2012Pichugin, A. V. and Rogerson, G. A. (2012) Extensional edge waves in pre-stressed incompressible plates, Mathematics and Mechanics of Solids, 17(1), pp. 27–42, doi:10.1177/1081286511412440.
[20]
Pichugin, A. V., Tyas, A. and Gilbert, M. (2012) On the optimality of Hemp's arch with vertical hangers, Structural and Multidisciplinary Optimization, 46(1), pp. 17–25, doi:10.1007/s00158-012-0769-5.
[21]
2013Pichugin, A. V. (2013) Topographically guided waves in a thin plate, Journal of Sound and Vibration, 332(1), pp. 1–6, doi:10.1016/j.jsv.2012.07.046.
[22]
2015Pichugin, A. V., Tyas, A., Gilbert, M. and He, L. (2015) Optimum structure for a uniform load over multiple spans, Structural and Multidisciplinary Optimization, 52(6), pp. 1041–1050, doi:10.1007/s00158-015-1278-0.
[23]
2016Pichugin, A. V. and Prikazchikov, D. A. (2016) Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solid, The Quarterly Journal of Mechanics and Applied Mathematics, 69(1), pp. 67–81, doi:10.1093/qjmam/hbv017.
[24]
2018Nolde, E., Pichugin, A. V. and Kaplunov, J. (2018) An asymptotic higher-order theory for rectangular beams, Proceedings of the Royal Society A, 474(2214), 20180001, doi:10.1098/rspa.2018.0001.

Publications in conference proceedings

[C1]
Pichugin, A. V. and Rogerson, G. A. (1999) An asymptotic model for the dynamic motion in an incompressible plate, in Proceedings of the Fourth International Conference on Vibration Problems (ICOVP-99), Calcutta, India, pp. 64–69.  pdf 
[C2]
Pichugin, A. V. and Rogerson, G. A. (2002) Long wave motion in a Mooney-Rivlin layer with fixed faces, in Proceedings of the Fourth International Conference on Nonlinear Mechanics (ICNM 4), Shanghai, China, pp. 488–492, ISBN 7-81058-077-9.
[C3]
Watson, S., MacPherson, W. N., Barton, J. S., Jones, J. D. C., Tyas, A., Pichugin, A. V., Hindle, A., Parkes, W., Dunare, C. and Stevenson, T. (2005) Investigation of shock waves in explosive blasts using fibre optic pressure sensors, in Sensors and their Applications XIII, Journal of Physics: Conference Series, 15, pp. 226–231, doi:10.1088/1742-6596/15/1/038.
[C4]
Pichugin, A. V., Tyas, A., MacPherson, W. N., Watson, S. and Barton, J. S. (2005) Scaled shock measurements using micro-scale fibre optic pressure transducers, in Proceedings of the Sixth Asia-Pacific Conference on Shock and Impact Loads on Structures, Perth, Australia, pp. 445–456, ISBN 9-810-535-503.  pdf 
[C5]
Pichugin, A. V. and Kaplunov, J. D. (2007) Numerical modelling of micro-structure using the concept of enhanced continuum, in Proceedings of the Eights International Conference on Mathematical and Numerical Aspects of Waves, Reading, pp. 193–194, ISBN 0-704-998-807.  pdf 
[C6]
Pichugin, A. V. (2010) The quasi-adiabatic approximation for coupled thermoelasticity, in Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), Simos, T. E., Psihoyios, G. and Tsitouras, Ch. (eds), AIP Conference Proceedings, 1281, pp. 1749–1752, ISBN 978-0-7354-0834-0, doi:10.1063/1.3498202.  bura 
[C7]
Pichugin, A. V., Tyas, A. and Gilbert, M. (2011) Michell structure for a uniform load over multiple spans, in Proceedings of the Ninth World Congress on Structural and Multidisciplinary Optimization (WCSMO-9), Shizuoka, Japan.  pdf 
[C8]
Pichugin, A. V. and Rogerson, G. A. (2012) Explicit example of non-unique extensional edge waves in a pre-stressed incompressible plate, in Proceedings of 8th European Solid Mechanics Conference (ESMC-2012), Holzapfel, G. A. and Ogden, R. W. (eds), Graz, Austria, ISBN 978-3-85125-223-1.

Other publications

[P1]
Pichugin, A. V. (2001) Asymptotic Models for Long Wave Motion in a Pre-stressed Incompressible Elastic Plate. Ph.D. Thesis. Salford University: U.K.  pdf 
[P2]
Pichugin, A. V. (2006) Approximation of the Rayleigh wave speed. Unpublished draft.  pdf