Publications

Mechanics

2019

 

j191

Fei Jia, Ousmane Kodio, S. Jon Chapman, Alain Goriely. On the Figure of Elastic Planets I: Gravitational Collapse and Infinitely Many Equilibria, Proceedings A. 2019.

 

j189 L. Angela Mihai, Thomas Woolley & A. Goriely. Likely equilibria of the stochastic Rivlin cube. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences. 2019.

DOI: 10.1098/rsta.2018.0068

 

j187

L. Angela Mihai, Daniel Fitt, Thomas E. Woolley, Alain Goriely. 2019. Likely equilibria of stochastic hyperelastic spherical shells and tubes. Math. Mech. Solids 24.7. 2066-2082.

DOI: 10.1177/1081286518811881

2018

 

j180 Félix Benoist, Finn Box, & Alain Goriely. Edge effects in elastic bulging. International Journal of Non-Linear Mechanics. 2018. 106. 227-237.

DOI: 10.1016/j.ijnonlinmec.2018.07.004

 

j179 L. Dai, K.D. Zhu, W. Shen. X. Huang, L. Zhang & A. Goriely. Controllable rotational inversion in nanostructures with dual chirality. Nanoscale. 2018. 10. 6343-6348.

DOI: 10.1039/C7NR09035H

 

j178 L.A. Mihai, T. Woolley & A. Goriely. Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Proceedings of the Royal Society A. 2017. 474. 2211.

DOI: 10.1098/rspa.2017.0858

 

j176 A. Goriely. Five ways to model active processes in elastic solids: active forces, active stresses, active strains, active fibers, and active metrics. Mechanics Research Communications. 2017.

DOI: 10.1016/j.mechrescom.2017.09.003

2017

 

j174 V. Burlakov & A. Goriely. Thermodynamic limit for particle monodispersity: How narrow can a particle size distribution be? EPL. 2017. 119. 50001.

DOI: 10.1209/0295-5075/119/50001

 

j173 L.A. Mihai & A. Goriely. How to characterise a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Proceedings of the Royal Society A. 2017. 473. 2207.

DOI: 10.1098/rspa.2017.0607

 

j171 G. Napoli & A. Goriely. A Tale of Two Nested Elastic Rings. Proceedings A: Mathematical, Physical and Engineering Science. 2017. 473. 2204.

DOI: 10.1098/rspa.2017.0340

 

j166

T. Lessinnes & A. Goriely. Geometric conditions for the positive definiteness of the second variation in one-dimensional problems, Nonlinearity, 2017. 30. 5.

DOI: 10.1088/1361-6544/aa6448

 

j165 L.Angela. Mihai, H. Wyatt & Alain Goriely. A microstructure-based hyperelastic model for open-cell solids. SIAM Journal of Applied Mathematics. 2017. 77. 4, 1397–1416.

DOI: 10.1137/16M1098899

j162 J.A. García-Grajales, A.J. Jerusalem, and A. Goriely. Continuum Mechanical Modeling of Axonal Growth. Computer Methods in Applied Mechanics and Engineering. 2017. 314. 147-163.

DOI: doi.org/10.1016/j.cma.2016.07.032

 

j161 J. Kwiecinski, S. J. Chapman, A. Goriely. Self-Assembly of a Filament by Curvature-Inducing Proteins. Physica D: Nonlinear Phenomena. 2017. 344. 68-80.

DOI: 10.1016/j.physd.2016.12.001

2016

 

j156 A. Goriely and A. Yavari. The Anelastic Ericksen’s Problem: Universal Eigenstrains and Deformations in Compressible Isotropic Elastic Solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2016. 472. 2196.

DOI: 10.1098/rspa.2016.0690

 

j155 A. Erlich, D. E. Moulton, A. Goriely and R. Chirat. Morphomechanics and developmental constraints in the evolution of ammonites shell form. Journal of Experimental Zoology Part B: Molecular and Developmental Evolution. 2016. 326. 7. 437-450.

DOI: 10.1002/jez.b.22716

j151 A. Goriely and T. Lessinnes. Design and stability of a family of deployable structures. SIAM. 2016. 76. 5.

DOI: 10.1137/16M1070293

 

j149 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.

 

j146-2 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.

 

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


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).