Publications

Mechanics

2016

 

j148 L.Mihai and A.Goriely. Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. SIAM Journal on Applied Mathematics. 2016.

 

j147 P.T. Brun, B. Audoly, A. Goriely, D. Vella. The surprising dynamics of a chain on a pulley: Lift-off and snapping. Proceedings of the Royal Society A. 2016.

 

j144 S. Sadik, A. Angoshtari, A. Goriely, A. Yavar. A Geometric Theory of Nonlinear Morphoelastic Shells. Journal of Nonlinear Science. 2016.

DOI: 10.1007/s00332-016-9294-9

 

j143 D. Moulton, T. Lessinnes, L. Dorfmann, and A. Goriely. The Elastic Secrets of the Chameleon Tongue. Proceedings of the Royal Society A. Mathematical, Physical and Engineerings Sciences. 2016. 472, 2188.

DOI: 10.1098/rspa.2016.0030

2015

 

j139 P.S. Stewart, S. L. Waters, T. El Sayed, D. Vella, A. Goriely. Wrinkling, creasing, and folding in fiber-reinforced soft tissues. Extreme Mechanics Letters. 2015.

DOI: 10.1016/j.eml.2015.10.005

 

j138 A. Yavari, A. Goriely, The Twist-Fit Problem: Finite Torsional and Shear Eigenstrains in Nonlinear Elastic Solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2015. 471, 2183.

DOI: 10.1098/rspa.2015.0596

 

j135 T. Lessinnes, D. E. Moulton, A. Goriely. Morphoelastic rods: Part II: Growing birods. Journal of the Mechanics and Physics of Solids. 2015.

DOI: 10.1016/j.jmps.2015.07.008

 

j132 T. Woolley, E. Gaffney, A. Goriely. Membrane shrinkage and cortex remodelling is predicted to work in harmony to retract blebs. Royal Society Open Science. 2015. 2, 7.

DOI: 10.1098/rsos.150184

 

j128 A. Mihai, K. Alayyash, and A. Goriely. Paws, pads, and plants: The enhanced elasticity of cell-filled load-bearing structures. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2015. 471, 2178.

DOI: 10.1098/rspa.2015.0107

 

j127 T. Woolley, E. Gaffney, J. M. Oliver, S. L. Waters, R. E. Baker and A. Goriely. Global contraction or local growth, bleb shape depends on more than just cell structure. Journal of Theoretical Biology. 2015. 380.

DOI: 10.1016/j.jtbi.2015.04.023

 

j122 A.Yavari and A. Goriely. On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Journal of the Mechanics and Physics of Solids. 2015. 76.

DOI: 10.1016/j.jmps.2014.12.005

 

j118 Melnik and A. Goriely. On the modeling of fiber dispersion in fiber-reinforced elastic materials. International Journal of Non-linear Mechanics. 2015. 75.

DOI: 10.1016/j.ijnonlinmec.2014.10.006

 

j117 A. Mihai and A. Goriely. Finite deformation effects in cellular structures with hyperelastic cell walls. International Journal of Solids and Structures. 2015. 53.

DOI: 10.1016/j.ijsolstr.2014.10.015

 

c22 A. Yavari and A. Goriely. Non-Metricity and the Nonlinear Mechanics of Distributed Point Defects. IN R. J. Knops, G.-Q. Chen, and M. Grinfeld (Eds). Differential Geometry and Continuum Mechanics. Springer Proceedings in Mathematics & Statistics. 2015.

DOI: 10.1007/978-3-319-18573-6_8

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


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.