Publications

Mechanics

2006

 

j37 S. Lafortune, A. Goriely and M. Tabor. The dynamics of stretchable rods in the inertial case. Nonlinear Dynamics. 2006. 43, 1.

DOI: 10.1007/s11071-006-0759-5

2003

 

j29 T. McMillen and A. Goriely. Whip Waves. Physica D: Nonlinear Phenomena. 2003. 184.

DOI: 10.1016/S0167-2789(03)00221-5

2002

 

j28 A. Goriely and T. McMillen. The shape of a cracking whip. Physical Review Letters. 2002. 88. 24.

DOI: 10.1103/PhysRevLett.88.244301

 

j27 T. McMillen and A. Goriely. 2002. Tendril perversion in intrinsically curved rods. J. Nonlinear Science. 2002. 12. 3.

DOI: 10.1007/s00332-002-0493-1

2001

 

j25 A. Goriely, M. Nizette and M. Tabor. On the dynamics of elastic strips. Journal of Nonlinear Science. 2001. 11. 1.

DOI: 10.1007/s003320010009

2000

 

j24 A. Goriely and N. Nizette. Kovalevskaya rods and Kovalevskaya waves. Regular and Chaotic Dynamics. 2000. 5, 1.

DOI: DOI: 10.1070/RD2000v005n01ABEH000126

 

j22 R. Goldstein, A. Goriely, G. Hubber and C. Wolgemuth. Bistable helices. Physical Review Letters. 2000. 84, 7.

DOI: 10.1103/PhysRevLett.84.1631

 

j21 A. Goriely and M. Tabor. Nonlinear dynamics of filaments. Nonlinear Dynamics. 2000. 21, 1. DOI: 10.1023/A:1008366526875

DOI: 10.1023/A:1008366526875

 

j19 A. Goriely and P. Shipman. Dynamics of helical strips. Physical Review E. 2000. 61, 4.

DOI: 10.1103/PhysRevE.61.4508

1999

j18 J. Lega and A. Goriely. Pulse, fronts and oscillation of an elastic rod. Physica D: Nonlinear Phenomena. 1999. 132, 3.

DOI: 10.1016/S0167-2789(99)00047-0

j17 M. Nizette and A. Goriely. Towards a classification of Euler-Kirchhoff filaments. Journal of Mathematical Physics. 1999. 40.

DOI: 10.1063/1.532731

c8 A. Goriely and M. Tabor. The looping of twisted elastic rods. IN G. Hunt, M. Thompson and A. R. Champneys (Eds.) Localisation and solitary waves in solid mechanics. 1999. World Scientific.

1998

 

j15 A. Goriely and M. Tabor. The mechanics and dynamics of tendril perversion in climbing plants. Physics Letters A. 1998. 250.

j13 A. Goriely and M. Tabor. Spontaneous helix-hand reversal and tendril perversion in climbing plants. Physical Review Letters. 1998. 80.

DOI: 10.1103/PhysRevE.61.4508

j12 A. Goriely and M. Tabor. Nonlinear Dynamics of Filaments IV: The spontaneous looping of twisted elastic rods. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2008. 455. 1998.

DOI: 10.1098/rspa.1998.0297

1997

j11 A. Goriely and M. Tabor. Nonlinear Dynamics of Filaments III: Instabilities of Helical Rods. Royal Society A: Mathematical, Physical and Engineering Sciences. 1997. 453, 1967.

DOI: 10.1098/rspa.1997.0138

j10 A. Goriely and M. Tabor. Nonlinear Dynamics of Filaments II: Nonlinear analysis. Physica D: Nonlinear Phenomena. 1997. 105, 1-3.

DOI: 10.1016/S0167-2789(97)83389-1

1996

j8 A. Goriely and M. Tabor. New amplitude equations for thin elastic rods. Physical Review Letters. 1996. 77. 17.

DOI: 10.1103/PhysRevLett.77.3537


Books

Applied Mathematics: A Very Short Introduction, Oxford University Press (February 2018, 120 pages).
Find it on Amazon.
Read it together with the Youtube Playlist.
Enjoy!</p>

A.Goriely. Morphoelasticity: The Mathematics and Mechanics of Biological Growth. Springer-Verlag Interdisciplinary and Applied Mathematics. 2017 (651 Pages). Find it on Amazon.

Goriely, P. Hosoi, H. Dankowicz. Non-linear mechanics of biological structures. Special Issue of the International Journal of Nonlinear Mechanics. 2011. 46, 4.

M. Ben Amar, A. Goriely, M. Mueller (Eds.) New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School. Volume 92. Oxford University Press. 2011
Find it on Amazon.

A. Goriely. Integrability and Nonintegrability of Dynamical Systems. World Scientific. 2001 (436 pages).
Out of print, but you can grab one on Amazon for £375 (a bargain).