Publications

Mechanics

2013

 

j95 H. Gadelha, E. Gaffney and A. Goriely. The counterbend phenomenon in flagellar axonemes and cross-linked filament bundles. Proceedings of the National Academy of Science. 2013. 110, 30.

DOI: 10.1073/pnas.1302113110

 

j94 S. O'Keeffe, D. Moulton, S. Waters, and A. Goriely. Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix. International Journal of Nonlinear Mechanics. 2013. 56.

DOI: 10.1016/j.ijnonlinmec.2013.04.017

 

j93 A. Majumdar and A. Goriely. Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Physica D: Nonlinear Phenomena. 2013. 235.

DOI: 10.1016/j.physd.2013.03.003

 

j90 Melnik and A. Goriely. Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Mathematics and Mechanics of Solids. 2013. 18, 6.

DOI: 10.1177/1081286513485773

2012

 

j88 D. E. Moulton, T. Lessinnes, A. Goriely, 2013. Morphoelastic rods Part I: a single growing rod. Journal of the Mechanics and Physics of Solids. =2013. 61, 2.

DOI: 10.1016/j.jmps.2012.09.017

 

j87 A. Mihai and A. Goriely. Numerical simulation of shear and the Poynting effects by the finite element method: An application of the generalised empirical inequalities in non-linear elasticity. International Journal of Nonlinear Mechanics. 2013. 49.

DOI: 10.1016/j.ijnonlinmec.2012.09.001

 

j86 Yavari and A. Goriely. Weyl Geometry and the Nonlinear Mechanics of Distributed Point Defects. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science. 2012. 468.

DOI: 10.1098/rspa.2012.0342

 

j83 A. Majumdar, C. Prior, and A. Goriely. Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Journal of Elasticity. 2012. 109, 1.

DOI: 10.1007/s10659-012-9371-8

 

j81 A. Yavari and A. Goriely. Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics. Archives of Rational Mechanics and Analysis. 2012. 205, 1.

DOI: 10.1007/s00205-012-0500-0

 

j80 A. Yavari and A. Goriely. Riemann-Cartan Geometry of Nonlinear Disclination Mechanics. Mathematics and Mechanics of Solids. 18, 1.

DOI: 10.1177/1081286511436137

 

j77 S. Neukirch; J. Frelat, A. Goriely, and C. Maurini. Vibrations of post-buckled rods: the singular inextensible limit. Journal of Sound and Vibration. 2012. 331, 3.

DOI: 10.1016/j.jsv.2011.09.021

 

j76 A. Mihai and A. Goriely. Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences. 2011. 467.

DOI: 10.1098/rspa.2011.0281

 

j74 B. Durickovic, M. Quezada, and A. Goriely. Nonlinear waves in heterogeneous elastic rods via homogenization. International Journal of Nonlinear Mechanics. 2012. 47, 2.

DOI: 10.1016/j.ijnonlinmec.2011.05.005

2011

 

j66 R. De Pascalis, M. Destrade, and A. Goriely. Nonlinear Correction to the Euler Buckling Formula for Compressed Cylinders with Guided-Guided End Conditions. Journal of Elasticity. 2011. 102, 2.

DOI: 10.1007/s10659-010-9265-6

2010

 

j62 M. A. Beauregard, A. Goriely, and M. Tabor. The nonlinear dynamics of elastic tubes conveying a fluid. International Journal of Solids and Structure. 2010. 47, 1.

DOI: 10.1016/j.ijsolstr.2009.09.022

2008

 

j55 Goriely, R. Vandiver, and M. Destrade. Nonlinear Euler buckling. Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character. 2008. 464, 2099.

DOI: 10.1098/rspa.2008.0184

 

j54 S. Neukirch, A. Goriely, and A. Hausrath. Elastic coiled-coils act as energy buffers in the ATP synthase. International Journal of Non-Linear Mechanics. 2008. 43, 10.

DOI: 10.1098/rspa.2008.0184

 

j51 A. Goriely, A. Hausrath, and S. Neukirch. The differential geometry of proteins and its applications to structure determination. Biophysical Reviews and Letters. 2008. 3, 01n02.

DOI: 10.1142/S1793048008000629

j50 S. Neukirch and A. Goriely. La chiralité des protéines fibreuses : une affaire d'élasticité. Reflets de la physique. 2008. 9.

 

j49 S. Neukirch, A. Hausrath, and A. Goriely. Chirality of coiled-coils: elasticity matters. Physical Review Letters. January 2008. 100, 3.

DOI: 10.1103/PhysRevLett.100.038105.


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!

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

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.