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Author ID: goriely.alain Recent zbMATH articles by "Goriely, Alain"
Published as: Goriely, Alain; Goriely, A.
External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 119 Publications since 1992, including 3 Books
1 Contribution as Editor
Reviewing Activity: 1 Review
Co-Authors: 92 Co-Authors with 111 Joint Publications
1,642 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
20 Tabor, Michael
16 Mihai, L. Angela
12 Moulton, Derek E.
11 Yavari, Arash
8 Kuhl, Ellen
8 Woolley, Thomas E.
5 Robertson-Tessi, Mark
5 Vandiver, Rebecca M.
4 Chirat, Regis
4 Destrade, Michel
4 El-Kareh, Ardith W.
4 Lessinnes, Thomas
4 Vella, Dominic
4 Waters, Sarah Louise
3 Chapman, Stephen Jonathan
3 Erlich, Alexander
3 Fitt, Danielle
3 McMahon, Joseph
3 Nizette, Michel
2 Baker, Ruth Elizabeth
2 Ben Amar, Martine
2 Gaffney, Eamonn A.
2 Garikipati, Krishna
2 Goodbrake, Christian
2 Hall, Cameron L.
2 Hyde, Craig
2 Kwiecinski, James A.
2 Lafortune, Stéphane
2 Lang, Georgina E.
2 Majumdar, Apala
2 McMillen, Tyler
2 Oliver, James M.
2 Prior, Christopher B.
2 Weickenmeier, Johannes
2 Wyatt, Hayley
1 Alawiye, Hamza
1 Alayyash, Khulud
1 Ambrosi, Davide
1 Angoshtari, Arzhang
1 Arruda, Ellen M.
1 Ateshian, Gerard A.
1 Audoly, Basile
1 Beauregard, Matthew A.
1 Bintu, B.
1 Bountis, Tassos C.
1 Brenig, Léon
1 Brun, P.-T.
1 Burlakov, Victor M.
1 Butler, C. A. M.
1 Byrne, Helen Mary
1 Chouaieb, Nadia
1 Cowin, Stephen C.
1 de Pascalis, Riccardo
1 Dorfmann, Luis
1 Epstein, Marcelo
1 Fornari, Sveva
1 García-Grajales, Julián Andrés
1 Hausrath, Andrew
1 Hennessy, Matthew G.
1 Holland, Maria A.
1 Holzapfel, Gerhard Alfred
1 Humphrey, Jay D.
1 Jérusalem, Antoine
1 Jia, Fei
1 Jones, Gareth Wyn
1 Károlyi, György
1 Kemkemer, Ralf
1 Kimpton, Laura S.
1 Kodio, Ousmane
1 Kollmann, Michael
1 Kosmata, Tim
1 Lega, Joceline C.
1 Linka, Kevin
1 Maddocks, John H.
1 Melnik, Andrey V.
1 Menzel, Andreas M.
1 Münch, Andreas
1 Napoli, Gaetano
1 Neukirch, Sébastien
1 O’Keeffe, Stephen
1 Olberding, J. E.
1 Oliveri, Hadrien
1 Rahman, Proton
1 Saccomandi, Giuseppe
1 Sadik, Souhayl
1 Sáez, Pablo
1 Schäfer, Amelie
1 Taber, Larry A.
1 Tisseur, Françoise
1 Tongen, Anthony
1 Wagner, Barbara A.
1 Young, P. G.
all top 5

Serials

10 Journal of Theoretical Biology
10 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
9 Journal of Elasticity
9 Mathematics and Mechanics of Solids
9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Physica D
7 Journal of the Mechanics and Physics of Solids
6 SIAM Journal on Applied Mathematics
4 Journal of Mathematical Physics
3 Nonlinearity
3 Proceedings of the National Academy of Sciences of the United States of America
3 Journal of Nonlinear Science
3 Regular and Chaotic Dynamics
2 IMA Journal of Applied Mathematics
2 Journal of Mathematical Biology
2 Physics Letters. A
2 Nonlinear Dynamics
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Solids and Structures
1 Quarterly Journal of Mechanics and Applied Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Journal of Differential Equations
1 Note di Matematica
1 Computational Mechanics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 The ANZIAM Journal
1 Mathematical Medicine and Biology
1 Oberwolfach Reports
1 Advanced Series in Nonlinear Dynamics
1 Interdisciplinary Applied Mathematics
1 Journal of Biological Dynamics
1 Journal of Physics A: Mathematical and Theoretical
1 Proceedings A. Royal Society of London
1 Very Short Introductions

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 1,118 times in 732 Documents Cited by Year
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
102
2001
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
76
2005
Perspectives on biological growth and remodeling. Zbl 1270.74134
Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K.
62
2011
The mathematics and mechanics of biological growth. Zbl 1398.92003
Goriely, Alain
58
2017
Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006
Yavari, Arash; Goriely, Alain
53
2012
Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations. Zbl 0867.58036
Goriely, Alain
51
1996
Helices. Zbl 1160.74373
Chouaieb, Nadia; Goriely, Alain; Maddocks, John H.
35
2006
A mathematical model of tumor-immune interactions. Zbl 1397.92358
Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain
32
2012
Nonlinear dynamics of filaments. I: Dynamical instabilities. Zbl 0962.74513
Goriely, Alain; Tabor, Michael
32
1997
Towards a classification of Euler-Kirchhoff filaments. Zbl 0965.74031
Nizette, Michel; Goriely, Alain
31
1999
Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046
Yavari, Arash; Goriely, Alain
25
2012
Tendril perversion in intrinsically curved rods. Zbl 1100.74575
McMillen, T.; Goriely, A.
24
2002
Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011
Mihai, L. Angela; Goriely, Alain
24
2011
On the dynamics of elastic strips. Zbl 1053.74026
Goriely, A.; Nizette, M.; Tabor, M.
23
2001
Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088
Moulton, D. E.; Goriely, A.
22
2011
Nonlinear Euler buckling. Zbl 1152.74342
Goriely, Alain; Vandiver, Rebecca; Destrade, Michel
21
2008
Nonlinear dynamics of filaments. II: Nonlinear analysis. Zbl 0962.74514
Goriely, Alain; Tabor, Michael
20
1997
How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018
Mihai, L. Angela; Goriely, Alain
19
2017
The nonlinear dynamics of filaments. Zbl 0985.74030
Goriely, Alain; Tabor, Michael
16
2000
On the mechanical stability of growing arteries. Zbl 1425.74324
Goriely, Alain; Vandiver, Rebecca
16
2010
Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047
Yavari, Arash; Goriely, Alain
16
2013
Necessary and sufficient conditions for finite time singularities in ordinary differential equations. Zbl 0962.34003
Goriely, Alain; Hyde, Craig
15
2000
Instabilities in elastomers and in soft tissues. Zbl 1107.74018
Goriely, A.; Destrade, M.; Ben Amar, M.
13
2006
Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
12
2018
Finite-time blow-up in dynamical systems. Zbl 0946.34074
Goriely, Alain; Hyde, Craig
12
1998
Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210
Goriely, Alain; Tabor, Michael
12
2013
Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052
Goriely, A.; Tabor, M.
11
1997
Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034
Goriely, Alain
11
2006
Mechanical growth and morphogenesis of seashells. Zbl 1337.92024
Moulton, D. E.; Goriely, A.; Chirat, R.
11
2012
A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071
Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash
11
2016
Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods. Zbl 0941.74028
Goriely, Alain; Tabor, Michael
9
1998
Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations. Zbl 1228.74039
Destrade, Michel; Goriely, Alain; Saccomandi, Giuseppe
9
2011
Painlevé analysis and normal forms. Zbl 0797.34040
Brenig, L.; Goriely, A.
9
1994
Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070
Vandiver, Rebecca; Goriely, Alain
9
2009
The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023
Yavari, Arash; Goriely, Alain
9
2014
Elastic growth models. Zbl 1382.92184
Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca
8
2008
The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023
Goriely, Alain; Tabor, Michael
8
1995
Investigation of Painlevé property under time singularities transformations. Zbl 0760.34010
Goriely, Alain
8
1992
A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506
Bountis, T.; Goriely, A.; Kollmann, M.
8
1995
A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031
Goriely, A.
8
2000
Singularity confinement and algebraic integrability. Zbl 1070.37039
Lafortune, S.; Goriely, A.
7
2004
Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065
McMahon, Joseph; Goriely, Alain; Tabor, Michael
7
2010
Whip waves. Zbl 1098.74590
McMillen, Tyler; Goriely, Alain
6
2003
Anticavitation and differential growth in elastic shells. Zbl 1273.74181
Moulton, Derek E.; Goriely, Alain
6
2011
Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures. Zbl 1371.92030
Mihai, L. Angela; Alayyash, Khulud; Goriely, Alain
6
2015
Surface growth kinematics via local curve evolution. Zbl 1280.92010
Moulton, Derek E.; Goriely, Alain
5
2014
Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007
Majumdar, Apala; Prior, Christopher; Goriely, Alain
5
2012
The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031
Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael
5
2010
Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
5
2019
Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142
McMahon, Joseph; Goriely, Alain; Tabor, Michael
5
2011
A model for effects of adaptive immunity on tumor response to chemotherapy and chemoimmunotherapy. Zbl 1343.92243
Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain
5
2015
A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008
Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain
5
2017
The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048
Yavari, Arash; Goriely, Alain
5
2016
Self-diffusion in remodeling and growth. Zbl 1320.74033
Epstein, Marcelo; Goriely, Alain
4
2012
Pulses, fronts and oscillations of an elastic rod. Zbl 0942.74042
Lega, Joceline; Goriely, Alain
4
1999
Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306
Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain
4
2019
Likely cavitation in stochastic elasticity. Zbl 1425.74084
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
4
2019
Spatially-extended nucleation-aggregation-fragmentation models for the dynamics of prion-like neurodegenerative protein-spreading in the brain and its connectome. Zbl 1429.92053
Fornari, Sveva; Schäfer, Amelie; Kuhl, Ellen; Goriely, Alain
4
2020
Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035
Vandiver, Rebecca; Goriely, Alain
4
2009
The morpho-mechanical basis of ammonite form. Zbl 1405.92026
Moulton, D. E.; Goriely, A.; Chirat, Regis
3
2015
Painlevé analysis and normal forms theory. Zbl 0988.34076
Goriely, Alain
3
2001
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
3
2019
On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154
Yavari, Arash; Goriely, Alain
3
2015
Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143
McMahon, Joseph; Goriely, Alain; Tabor, Michael
3
2011
Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031
Lessinnes, Thomas; Goriely, Alain
3
2017
Bulging brains. Zbl 1373.74076
Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E.
3
2017
Likely striping in stochastic nematic elastomers. Zbl 07259260
Mihai, L. Angela; Goriely, Alain
2
2020
Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 07280031
Yavari, Arash; Goriely, Alain
2
2013
Three mechanical models for blebbing and multi-blebbing. Zbl 1330.92020
Woolley, Thomas E.; Gaffney, Eamonn A.; Waters, Sarah L.; Oliver, James M.; Baker, Ruth E.; Goriely, Alain
2
2014
Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013
Erlich, Alexander; Moulton, Derek E.; Goriely, Alain
2
2019
Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062
Majumdar, Apala; Goriely, Alain
2
2013
The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017
Hall, Cameron L.; Vella, Dominic; Goriely, Alain
2
2013
Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014
Goriely, Alain; Károlyi, György; Tabor, Michael
2
2005
Knotted umbilical cords. Zbl 1092.92025
Goriely, Alain
2
2005
The dynamics of stretchable rods in the inertial case. Zbl 1138.74357
Lafortune, Stéphane; Goriely, Alain; Tabor, Michael
2
2006
Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions. Zbl 1273.74104
De Pascalis, Riccardo; Destrade, Michel; Goriely, Alain
2
2011
Kovalevskaya rods and Kovalevskaya waves. Zbl 0947.74028
Goriely, A.; Nizette, M.
2
2000
Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237
Mihai, L. Angela; Goriely, Alain
2
2014
Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Zbl 1346.74051
Mihai, L. Angela; Goriely, Alain
2
2016
Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019
Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain
2
2017
Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
2
2020
The role of topology and mechanics in uniaxially growing cell networks. Zbl 1472.92111
Erlich, Alexander; Jones, Gareth W.; Tisseur, Françoise; Moulton, Derek E.; Goriely, Alain
1
2020
Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034
Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain
1
2017
Morphoelastic rods. II: Growing birods. Zbl 1443.74211
Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain
1
2017
Biomechanical model for appressorial design in Magnaporthe grisea. Zbl 1447.92037
Tongen, Anthony; Goriely, Alain; Tabor, Michael
1
2006
The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. Zbl 1459.74021
Goodbrake, Christian; Yavari, Arash; Goriely, Alain
1
2020
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 07254343
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
1
2019
On the mechanics of thin films and growing surfaces. Zbl 07280061
Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen
1
2013
Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Zbl 07280066
Melnik, Andrey V.; Goriely, Alain
1
2013
Mechanical feedback in seashell growth and form. Zbl 1395.92019
Erlich, A.; Howell, R.; Goriely, A.; Chirat, R.; Moulton, D. E.
1
2018
The role of complex-time singularities in chaotic dynamics. Zbl 0982.37023
Goriely, A.; Tabor, M.
1
1998
Helices through 3 or 4 points? Zbl 1411.51008
Goriely, Alain; Neukirch, Sébastien; Hausrath, Andrew
1
2012
A tale of two nested elastic rings. Zbl 1404.74083
Napoli, G.; Goriely, A.
1
2017
Microstructure-based hyperelastic models for closed-cell solids. Zbl 1404.74134
Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain
1
2017
Controlled topological transitions in thin-film phase separation. Zbl 1320.35070
Hennessy, Matthew G.; Burlakov, Victor M.; Goriely, Alain; Wagner, Barbara; Münch, Andreas
1
2015
Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020
Yavari, Arash; Goriely, Alain
1
2015
Global contraction or local growth, bleb shape depends on more than just cell structure. Zbl 1343.92140
Woolley, Thomas E.; Gaffney, Eamonn A.; Oliver, James M.; Waters, Sarah L.; Baker, Ruth E.; Goriely, Alain
1
2015
The elastic secrets of the chameleon tongue. Zbl 1371.92031
Moulton, Derek E.; Lessinnes, Thomas; O’Keeffe, Stephen; Dorfmann, Luis; Goriely, Alain
1
2016
The surprising dynamics of a chain on a pulley: lift off and snapping. Zbl 1371.70030
Brun, P.-T.; Audoly, Basile; Goriely, Alain; Vella, Dominic
1
2016
Axonal buckling following stretch injury. Zbl 1375.92009
Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain
1
2017
Spatially-extended nucleation-aggregation-fragmentation models for the dynamics of prion-like neurodegenerative protein-spreading in the brain and its connectome. Zbl 1429.92053
Fornari, Sveva; Schäfer, Amelie; Kuhl, Ellen; Goriely, Alain
4
2020
Likely striping in stochastic nematic elastomers. Zbl 07259260
Mihai, L. Angela; Goriely, Alain
2
2020
Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
2
2020
The role of topology and mechanics in uniaxially growing cell networks. Zbl 1472.92111
Erlich, Alexander; Jones, Gareth W.; Tisseur, Françoise; Moulton, Derek E.; Goriely, Alain
1
2020
The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. Zbl 1459.74021
Goodbrake, Christian; Yavari, Arash; Goriely, Alain
1
2020
Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
5
2019
Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306
Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain
4
2019
Likely cavitation in stochastic elasticity. Zbl 1425.74084
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
4
2019
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
3
2019
Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013
Erlich, Alexander; Moulton, Derek E.; Goriely, Alain
2
2019
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 07254343
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
1
2019
Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
12
2018
Mechanical feedback in seashell growth and form. Zbl 1395.92019
Erlich, A.; Howell, R.; Goriely, A.; Chirat, R.; Moulton, D. E.
1
2018
The mathematics and mechanics of biological growth. Zbl 1398.92003
Goriely, Alain
58
2017
How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018
Mihai, L. Angela; Goriely, Alain
19
2017
A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008
Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain
5
2017
Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031
Lessinnes, Thomas; Goriely, Alain
3
2017
Bulging brains. Zbl 1373.74076
Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E.
3
2017
Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019
Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain
2
2017
Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034
Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain
1
2017
Morphoelastic rods. II: Growing birods. Zbl 1443.74211
Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain
1
2017
A tale of two nested elastic rings. Zbl 1404.74083
Napoli, G.; Goriely, A.
1
2017
Microstructure-based hyperelastic models for closed-cell solids. Zbl 1404.74134
Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain
1
2017
Axonal buckling following stretch injury. Zbl 1375.92009
Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain
1
2017
Continuum mechanical modeling of axonal growth. Zbl 1439.74197
García-Grajales, Julián Andrés; Jérusalem, Antoine; Goriely, Alain
1
2017
A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071
Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash
11
2016
The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048
Yavari, Arash; Goriely, Alain
5
2016
Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Zbl 1346.74051
Mihai, L. Angela; Goriely, Alain
2
2016
The elastic secrets of the chameleon tongue. Zbl 1371.92031
Moulton, Derek E.; Lessinnes, Thomas; O’Keeffe, Stephen; Dorfmann, Luis; Goriely, Alain
1
2016
The surprising dynamics of a chain on a pulley: lift off and snapping. Zbl 1371.70030
Brun, P.-T.; Audoly, Basile; Goriely, Alain; Vella, Dominic
1
2016
Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures. Zbl 1371.92030
Mihai, L. Angela; Alayyash, Khulud; Goriely, Alain
6
2015
A model for effects of adaptive immunity on tumor response to chemotherapy and chemoimmunotherapy. Zbl 1343.92243
Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain
5
2015
The morpho-mechanical basis of ammonite form. Zbl 1405.92026
Moulton, D. E.; Goriely, A.; Chirat, Regis
3
2015
On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154
Yavari, Arash; Goriely, Alain
3
2015
Controlled topological transitions in thin-film phase separation. Zbl 1320.35070
Hennessy, Matthew G.; Burlakov, Victor M.; Goriely, Alain; Wagner, Barbara; Münch, Andreas
1
2015
Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020
Yavari, Arash; Goriely, Alain
1
2015
Global contraction or local growth, bleb shape depends on more than just cell structure. Zbl 1343.92140
Woolley, Thomas E.; Gaffney, Eamonn A.; Oliver, James M.; Waters, Sarah L.; Baker, Ruth E.; Goriely, Alain
1
2015
The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023
Yavari, Arash; Goriely, Alain
9
2014
Surface growth kinematics via local curve evolution. Zbl 1280.92010
Moulton, Derek E.; Goriely, Alain
5
2014
Three mechanical models for blebbing and multi-blebbing. Zbl 1330.92020
Woolley, Thomas E.; Gaffney, Eamonn A.; Waters, Sarah L.; Oliver, James M.; Baker, Ruth E.; Goriely, Alain
2
2014
Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237
Mihai, L. Angela; Goriely, Alain
2
2014
Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047
Yavari, Arash; Goriely, Alain
16
2013
Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210
Goriely, Alain; Tabor, Michael
12
2013
Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 07280031
Yavari, Arash; Goriely, Alain
2
2013
Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062
Majumdar, Apala; Goriely, Alain
2
2013
The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017
Hall, Cameron L.; Vella, Dominic; Goriely, Alain
2
2013
On the mechanics of thin films and growing surfaces. Zbl 07280061
Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen
1
2013
Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Zbl 07280066
Melnik, Andrey V.; Goriely, Alain
1
2013
Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006
Yavari, Arash; Goriely, Alain
53
2012
A mathematical model of tumor-immune interactions. Zbl 1397.92358
Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain
32
2012
Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046
Yavari, Arash; Goriely, Alain
25
2012
Mechanical growth and morphogenesis of seashells. Zbl 1337.92024
Moulton, D. E.; Goriely, A.; Chirat, R.
11
2012
Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007
Majumdar, Apala; Prior, Christopher; Goriely, Alain
5
2012
Self-diffusion in remodeling and growth. Zbl 1320.74033
Epstein, Marcelo; Goriely, Alain
4
2012
Helices through 3 or 4 points? Zbl 1411.51008
Goriely, Alain; Neukirch, Sébastien; Hausrath, Andrew
1
2012
Perspectives on biological growth and remodeling. Zbl 1270.74134
Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K.
62
2011
Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011
Mihai, L. Angela; Goriely, Alain
24
2011
Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088
Moulton, D. E.; Goriely, A.
22
2011
Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations. Zbl 1228.74039
Destrade, Michel; Goriely, Alain; Saccomandi, Giuseppe
9
2011
Anticavitation and differential growth in elastic shells. Zbl 1273.74181
Moulton, Derek E.; Goriely, Alain
6
2011
Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142
McMahon, Joseph; Goriely, Alain; Tabor, Michael
5
2011
Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143
McMahon, Joseph; Goriely, Alain; Tabor, Michael
3
2011
Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions. Zbl 1273.74104
De Pascalis, Riccardo; Destrade, Michel; Goriely, Alain
2
2011
On the mechanical stability of growing arteries. Zbl 1425.74324
Goriely, Alain; Vandiver, Rebecca
16
2010
Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065
McMahon, Joseph; Goriely, Alain; Tabor, Michael
7
2010
The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031
Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael
5
2010
Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070
Vandiver, Rebecca; Goriely, Alain
9
2009
Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035
Vandiver, Rebecca; Goriely, Alain
4
2009
Nonlinear Euler buckling. Zbl 1152.74342
Goriely, Alain; Vandiver, Rebecca; Destrade, Michel
21
2008
Elastic growth models. Zbl 1382.92184
Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca
8
2008
Helices. Zbl 1160.74373
Chouaieb, Nadia; Goriely, Alain; Maddocks, John H.
35
2006
Instabilities in elastomers and in soft tissues. Zbl 1107.74018
Goriely, A.; Destrade, M.; Ben Amar, M.
13
2006
Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034
Goriely, Alain
11
2006
The dynamics of stretchable rods in the inertial case. Zbl 1138.74357
Lafortune, Stéphane; Goriely, Alain; Tabor, Michael
2
2006
Biomechanical model for appressorial design in Magnaporthe grisea. Zbl 1447.92037
Tongen, Anthony; Goriely, Alain; Tabor, Michael
1
2006
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
76
2005
Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014
Goriely, Alain; Károlyi, György; Tabor, Michael
2
2005
Knotted umbilical cords. Zbl 1092.92025
Goriely, Alain
2
2005
Singularity confinement and algebraic integrability. Zbl 1070.37039
Lafortune, S.; Goriely, A.
7
2004
Whip waves. Zbl 1098.74590
McMillen, Tyler; Goriely, Alain
6
2003
Tendril perversion in intrinsically curved rods. Zbl 1100.74575
McMillen, T.; Goriely, A.
24
2002
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
102
2001
On the dynamics of elastic strips. Zbl 1053.74026
Goriely, A.; Nizette, M.; Tabor, M.
23
2001
Painlevé analysis and normal forms theory. Zbl 0988.34076
Goriely, Alain
3
2001
The nonlinear dynamics of filaments. Zbl 0985.74030
Goriely, Alain; Tabor, Michael
16
2000
Necessary and sufficient conditions for finite time singularities in ordinary differential equations. Zbl 0962.34003
Goriely, Alain; Hyde, Craig
15
2000
A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031
Goriely, A.
8
2000
Kovalevskaya rods and Kovalevskaya waves. Zbl 0947.74028
Goriely, A.; Nizette, M.
2
2000
Towards a classification of Euler-Kirchhoff filaments. Zbl 0965.74031
Nizette, Michel; Goriely, Alain
31
1999
Pulses, fronts and oscillations of an elastic rod. Zbl 0942.74042
Lega, Joceline; Goriely, Alain
4
1999
Finite-time blow-up in dynamical systems. Zbl 0946.34074
Goriely, Alain; Hyde, Craig
12
1998
Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods. Zbl 0941.74028
Goriely, Alain; Tabor, Michael
9
1998
The role of complex-time singularities in chaotic dynamics. Zbl 0982.37023
Goriely, A.; Tabor, M.
1
1998
Nonlinear dynamics of filaments. I: Dynamical instabilities. Zbl 0962.74513
Goriely, Alain; Tabor, Michael
32
1997
Nonlinear dynamics of filaments. II: Nonlinear analysis. Zbl 0962.74514
Goriely, Alain; Tabor, Michael
20
1997
Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052
Goriely, A.; Tabor, M.
11
1997
Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations. Zbl 0867.58036
Goriely, Alain
51
1996
The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023
Goriely, Alain; Tabor, Michael
8
1995
A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506
Bountis, T.; Goriely, A.; Kollmann, M.
8
1995
Painlevé analysis and normal forms. Zbl 0797.34040
Brenig, L.; Goriely, A.
9
1994
...and 1 more Documents
all top 5

Cited by 1,123 Authors

66 Goriely, Alain
25 Llibre, Jaume
25 Yavari, Arash
16 Kuhl, Ellen
13 Mihai, L. Angela
12 Destrade, Michel
11 Ciarletta, Pasquale
11 Shi, Shaoyun
11 Valls Anglés, Cláudia
11 Zhang, Xiang
10 Moulton, Derek E.
10 Murphy, Jeremiah G.
9 Kupferman, Raz
9 Tabor, Michael
8 Guha, Partha
8 Horgan, Cornelius Oliver
8 Rubin, Miles B.
8 Saccomandi, Giuseppe
7 Ghose Choudhury, Anindya
7 Putkaradze, Vakhtang
7 Woolley, Thomas E.
6 Ben Amar, Martine
6 Demina, Maria V.
6 Epstein, Marcelo
6 Golgoon, Ashkan
6 Kumar, Ajeet
6 Li, Wenlei
6 Vandiver, Rebecca M.
5 Demirkus, Dilek
5 Gay-Balmaz, François
5 Giné, Jaume
5 Hernández-Bermejo, Benito
5 Kawakubo, Satoshi
5 Ogden, Raymond William
5 Pence, Thomas J.
5 Purohit, Prashant K.
4 Al-Mekhlafi, Seham Mahyoub
4 Algaba, Antonio
4 Ali, Ahmad Tawfik
4 Audoly, Basile
4 Aziz, Waleed
4 Balbi, Valentina
4 Buganza Tepole, Adrián
4 Chapman, Stephen Jonathan
4 Chèze, Guillaume
4 Cotsakis, Spiros
4 Dai, Hui-Hui
4 Esen, Oğul
4 Fried, Eliot
4 García, Cristóbal
4 Gebhardt, Cristian Guillermo
4 Gou, Kun
4 Gupta, Anurag P.
4 Javili, Ali
4 Linder, Christian
4 Maor, Cy
4 Merodio, Jose
4 Safadi, M. M.
4 Singh, Raushan
4 Sozio, Fabio
4 Sweilam, Nasser Hassan
4 van der Heijden, Gert H. M.
4 Xu, Zhiguo
3 Abeyaratne, Rohan C.
3 Ambrosi, Davide
3 Baker, Ruth Elizabeth
3 Baris, J. S.
3 Böhmer, Christian G.
3 Brenig, Léon
3 Byrne, Helen Mary
3 Chirat, Regis
3 Della Corte, Alessandro
3 dell’Isola, Francesco
3 Demirkoparan, Hasan
3 Dortdivanlioglu, Berkin
3 Erlich, Alexander
3 Fok, Pak-Wing
3 Guzev, Mikhail A.
3 Huang, Kaiyin
3 Humphrey, Jay D.
3 İlarslan, Kazim
3 Ivanov, Rossen I.
3 Jiao, Jia
3 Koifman, K. G.
3 Lafortune, Stéphane
3 Lychev, Sergei A.
3 Mahdi, Adam
3 McMahon, Joseph
3 O’Reilly, Oliver Mary
3 Özdemir, Zehra
3 Parnell, William J.
3 Perthame, Benoît
3 Ramírez, Rafael O.
3 Reyes, Manuel
3 Riccobelli, Davide
3 Romero, Ignacio
3 Roychowdhury, Ayan
3 Sadik, Souhayl
3 Sáez, Pablo
3 Steinmann, Paul
...and 1,023 more Authors
all top 5

Cited in 176 Serials

49 Journal of Elasticity
44 Journal of the Mechanics and Physics of Solids
36 Mathematics and Mechanics of Solids
31 Journal of Theoretical Biology
27 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
23 Computer Methods in Applied Mechanics and Engineering
19 International Journal of Engineering Science
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Journal of Mathematical Physics
16 Physica D
14 Journal of Nonlinear Science
13 Journal of Differential Equations
12 Acta Mechanica
12 Journal of Mathematical Analysis and Applications
12 Physics Letters. A
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Journal of Computational Physics
9 Journal of Engineering Mathematics
9 Chaos, Solitons and Fractals
8 Archive for Rational Mechanics and Analysis
8 Mathematical Biosciences
8 Applied Mathematics and Computation
8 Computational Mechanics
8 Nonlinear Dynamics
7 Journal of Mathematical Biology
7 SIAM Journal on Applied Mathematics
7 Communications in Nonlinear Science and Numerical Simulation
6 European Journal of Mechanics. A. Solids
6 Regular and Chaotic Dynamics
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 International Journal of Solids and Structures
5 Journal of Geometry and Physics
5 Meccanica
5 Continuum Mechanics and Thermodynamics
5 Qualitative Theory of Dynamical Systems
4 Journal of Fluid Mechanics
4 Journal of Statistical Physics
4 Bulletin of Mathematical Biology
4 Quarterly of Applied Mathematics
4 Applied Mathematics Letters
4 Applied Mathematical Modelling
4 Discrete and Continuous Dynamical Systems
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Nonlinear Analysis. Real World Applications
4 Mathematical Biosciences and Engineering
3 Nonlinearity
3 Physica A
3 Physics Letters. B
3 Wave Motion
3 Proceedings of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Journal of Symbolic Computation
3 Proceedings of the National Academy of Sciences of the United States of America
3 Calculus of Variations and Partial Differential Equations
3 Bulletin des Sciences Mathématiques
3 Journal of Difference Equations and Applications
3 Chaos
3 Lobachevskii Journal of Mathematics
3 Journal of Nonlinear Mathematical Physics
3 Discrete and Continuous Dynamical Systems. Series B
3 International Journal of Geometric Methods in Modern Physics
3 Acta Mechanica Sinica
3 Computational & Mathematical Methods in Medicine
2 Modern Physics Letters B
2 Computers & Mathematics with Applications
2 Journal of Applied Mathematics and Mechanics
2 Mathematical Methods in the Applied Sciences
2 Demonstratio Mathematica
2 International Journal for Numerical Methods in Engineering
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Theoretical Computer Science
2 European Journal of Applied Mathematics
2 Archive of Applied Mechanics
2 Physics of Fluids
2 Journal of Mathematical Sciences (New York)
2 Communications in Contemporary Mathematics
2 Journal of Biological Systems
2 Archives of Computational Methods in Engineering
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 Advances in Difference Equations
2 Journal of Statistical Mechanics: Theory and Experiment
2 Discrete and Continuous Dynamical Systems. Series S
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
2 Advances in Mathematical Physics
2 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 International Journal of Modern Physics A
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 European Journal of Physics
1 Israel Journal of Mathematics
1 Journal of the Franklin Institute
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Prikladnaya Matematika i Mekhanika
1 Fortschritte der Physik
...and 76 more Serials
all top 5

Cited in 46 Fields

399 Mechanics of deformable solids (74-XX)
178 Biology and other natural sciences (92-XX)
136 Ordinary differential equations (34-XX)
94 Dynamical systems and ergodic theory (37-XX)
70 Partial differential equations (35-XX)
65 Differential geometry (53-XX)
43 Mechanics of particles and systems (70-XX)
39 Fluid mechanics (76-XX)
30 Numerical analysis (65-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
11 Relativity and gravitational theory (83-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Computer science (68-XX)
9 Optics, electromagnetic theory (78-XX)
8 Difference and functional equations (39-XX)
6 Commutative algebra (13-XX)
5 General and overarching topics; collections (00-XX)
5 Quantum theory (81-XX)
4 History and biography (01-XX)
4 Algebraic geometry (14-XX)
4 Topological groups, Lie groups (22-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Special functions (33-XX)
4 Manifolds and cell complexes (57-XX)
4 Probability theory and stochastic processes (60-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Nonassociative rings and algebras (17-XX)
3 Real functions (26-XX)
3 Statistics (62-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Systems theory; control (93-XX)
2 Combinatorics (05-XX)
2 Field theory and polynomials (12-XX)
2 Integral equations (45-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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