Publications

Mechanics

2014

 

j113 Yavari and A. Goriely. The Geometry of Discombinations and its Applications to Semi-Inverse Problems in Anelasticity. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences. 2014. 470. 2169.

DOI: 10.1098/rspa.2014.0403

2015

 

j112 A. Mihai and A. Goriely. Nonlinear Poisson Effects in Soft Honeycombs. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences. 2014. 470, 2169.

DOI: 10.1098/rspa.2014.0363

2014

 

j106 S. Neukirch, O. Thomas, and A. Goriely. Singular inextensible limit in the vibrations of post-buckled rods: analytical derivation and role of boundary conditions. Journal of Sound Vibrations. 2014. 33, 2.

DOI: 10.1016/j.jsv.2013.10.009

 

j100 C. L. Hall, D. Vella and A. Goriely. The mechanics of a chain or ring of spherical magnets. SIAM Journal of Applied Mathematics. 2014. 73, 6.

DOI: 10.1137/120897973

2013

 

j99 A. Yavari and A. Goriely. Nonlinear elastic inclusions in isotropic solids. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences. 2013. 469, 2160

DOI: 10.1098/rspa.2013.0415

 

j98 B. Durickovic, A. Goriely, and J. H. Maddocks. Twist and stretch of helices explained via the Kirchhoff-Love rod model of elastic filaments. Physical Review Letters. 2013 . 111,10.

DOI: 10.1103/PhysRevLett.111.108103

 

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


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).