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Goriely, Alain

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Author ID: goriely.alain Recent zbMATH articles by "Goriely, Alain"
Published as: Goriely, A.; Goriely, Alain
External Links: MGP · Wikidata · ORCID · GND
Documents Indexed: 112 Publications since 1992, including 3 Books
Reviewing Activity: 1 Review
all top 5

Co-Authors

9 single-authored
20 Tabor, Michael
14 Mihai, L. Angela
10 Moulton, Derek E.
10 Yavari, Arash
8 Woolley, Thomas E.
7 Kuhl, Ellen
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 Fitt, Danielle
3 McMahon, Joseph
3 Nizette, Michel
2 Baker, Ruth Elizabeth
2 Ben Amar, Martine
2 Chapman, Stephen Jonathan
2 Erlich, Alexander
2 Gaffney, Eamonn A.
2 Garikipati, Krishna
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 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 Bountis, Tassos C.
1 Brenig, Léon
1 Brun, P.-T.
1 Burlakov, Victor M.
1 Butler, C. A. M.
1 Chouaieb, Nadia
1 Cowin, Stephen C.
1 de Pascalis, Riccardo
1 Dorfmann, Luis
1 Dumais, J.-F.
1 Epstein, Marcelo
1 Fornari, Sveva
1 García-Grajales, Julián Andrés
1 Goodbrake, Christian
1 Hall, Cameron L.
1 Hausrath, Andrew
1 Hennessy, Matthew G.
1 Holland, Maria A.
1 Holzapfel, Gerhard A.
1 Howell, Russell W.
1 Humphrey, Jay D.
1 Jérusalem, Antoine
1 Károlyi, György
1 Kemkemer, Ralf
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 Rahman, Proton
1 Saccomandi, Giuseppe
1 Sadik, Souhayl
1 Sáez, Pablo
1 Schäfer, Amelie
1 Taber, Larry A.
1 Tongen, Anthony
1 Wagner, Barbara A.
1 Weickenmeier, J.
1 Young, P. G.
all top 5

Serials

10 Journal of Theoretical Biology
9 Mathematics and Mechanics of Solids
9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Physica D
8 Journal of Elasticity
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 SIAM Journal on Applied Mathematics
5 Journal of the Mechanics and Physics of Solids
4 Journal of Mathematical Physics
3 Journal of Nonlinear Science
3 Regular and Chaotic Dynamics
2 IMA Journal of Applied Mathematics
2 Journal of Mathematical Biology
2 Nonlinearity
2 Physics Letters. A
2 Proceedings of the National Academy of Sciences of the United States of America
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

87 Publications have been cited 977 times in 638 Documents Cited by Year
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
95
2001
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
69
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.
52
2011
Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations. Zbl 0867.58036
Goriely, Alain
49
1996
Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006
Yavari, Arash; Goriely, Alain
46
2012
The mathematics and mechanics of biological growth. Zbl 1398.92003
Goriely, Alain
40
2017
Nonlinear dynamics of filaments. I: Dynamical instabilities. Zbl 0962.74513
Goriely, Alain; Tabor, Michael
34
1997
Helices. Zbl 1160.74373
Chouaieb, Nadia; Goriely, Alain; Maddocks, John H.
33
2006
Towards a classification of Euler-Kirchhoff filaments. Zbl 0965.74031
Nizette, Michel; Goriely, Alain
30
1999
A mathematical model of tumor-immune interactions. Zbl 1397.92358
Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain
28
2012
On the dynamics of elastic strips. Zbl 1053.74026
Goriely, A.; Nizette, M.; Tabor, M.
22
2001
Tendril perversion in intrinsically curved rods. Zbl 1100.74575
McMillen, T.; Goriely, A.
21
2002
Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046
Yavari, Arash; Goriely, Alain
20
2012
Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088
Moulton, D. E.; Goriely, A.
20
2011
Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011
Mihai, L. Angela; Goriely, Alain
20
2011
Nonlinear Euler buckling. Zbl 1152.74342
Goriely, Alain; Vandiver, Rebecca; Destrade, Michel
20
2008
Nonlinear dynamics of filaments. II: Nonlinear analysis. Zbl 0962.74514
Goriely, Alain; Tabor, Michael
20
1997
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
On the mechanical stability of growing arteries. Zbl 1425.74324
Goriely, Alain; Vandiver, Rebecca
14
2010
Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047
Yavari, Arash; Goriely, Alain
13
2013
Finite-time blow-up in dynamical systems. Zbl 0946.34074
Goriely, Alain; Hyde, Craig
12
1998
Mechanical growth and morphogenesis of seashells. Zbl 1337.92024
Moulton, D. E.; Goriely, A.; Chirat, R.
11
2012
Instabilities in elastomers and in soft tissues. Zbl 1107.74018
Goriely, A.; Destrade, M.; Ben Amar, M.
11
2006
Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052
Goriely, A.; Tabor, M.
11
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
10
2017
Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210
Goriely, Alain; Tabor, Michael
10
2013
Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034
Goriely, Alain
10
2006
Painlevé analysis and normal forms. Zbl 0797.34040
Brenig, L.; Goriely, A.
10
1994
Elastic growth models. Zbl 1382.92184
Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca
9
2008
Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods. Zbl 0941.74028
Goriely, Alain; Tabor, Michael
9
1998
The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023
Goriely, Alain; Tabor, Michael
9
1995
Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
8
2018
A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071
Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash
8
2016
The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023
Yavari, Arash; Goriely, Alain
8
2014
Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070
Vandiver, Rebecca; Goriely, Alain
8
2009
A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506
Bountis, T.; Goriely, A.; Kollmann, M.
8
1995
Investigation of Painlevé property under time singularities transformations. Zbl 0760.34010
Goriely, Alain
8
1992
Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065
McMahon, Joseph; Goriely, Alain; Tabor, Michael
7
2010
Singularity confinement and algebraic integrability. Zbl 1070.37039
Lafortune, S.; Goriely, A.
7
2004
A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031
Goriely, A.
7
2000
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
Whip waves. Zbl 1098.74590
McMillen, Tyler; Goriely, Alain
6
2003
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
Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007
Majumdar, Apala; Prior, Christopher; Goriely, Alain
5
2012
Anticavitation and differential growth in elastic shells. Zbl 1273.74181
Moulton, Derek E.; Goriely, Alain
5
2011
Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
4
2019
A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008
Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain
4
2017
The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048
Yavari, Arash; Goriely, Alain
4
2016
Surface growth kinematics via local curve evolution. Zbl 1280.92010
Moulton, Derek E.; Goriely, Alain
4
2014
Self-diffusion in remodeling and growth. Zbl 1320.74033
Epstein, Marcelo; Goriely, Alain
4
2012
Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142
McMahon, Joseph; Goriely, Alain; Tabor, Michael
4
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
4
2011
The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031
Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael
4
2010
Pulses, fronts and oscillations of an elastic rod. Zbl 0942.74042
Lega, Joceline; Goriely, Alain
4
1999
Likely cavitation in stochastic elasticity. Zbl 1425.74084
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
3
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
Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031
Lessinnes, Thomas; Goriely, Alain
3
2017
The morpho-mechanical basis of ammonite form. Zbl 1405.92026
Moulton, D. E.; Goriely, A.; Chirat, Regis
3
2015
Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143
McMahon, Joseph; Goriely, Alain; Tabor, Michael
3
2011
Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035
Vandiver, Rebecca; Goriely, Alain
3
2009
Painlevé analysis and normal forms theory. Zbl 0988.34076
Goriely, Alain
3
2001
Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019
Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain
2
2017
Bulging brains. Zbl 1373.74076
Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E.
2
2017
Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Zbl 1346.74051
Mihai, L. Angela; Goriely, Alain
2
2016
On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154
Yavari, Arash; Goriely, Alain
2
2015
Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237
Mihai, L. Angela; Goriely, Alain
2
2014
The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017
Hall, Cameron L.; Vella, Dominic; Goriely, Alain
2
2013
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
Knotted umbilical cords. Zbl 1092.92025
Goriely, Alain
2
2005
Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014
Goriely, Alain; Károlyi, György; Tabor, Michael
2
2005
Kovalevskaya rods and Kovalevskaya waves. Zbl 0947.74028
Goriely, A.; Nizette, M.
2
2000
Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
1
2020
Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306
Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain
1
2019
Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013
Erlich, Alexander; Moulton, Derek E.; Goriely, Alain
1
2019
Mechanical feedback in seashell growth and form. Zbl 1395.92019
Erlich, A.; Howell, R.; Goriely, A.; Chirat, R.; Moulton, D. E.
1
2018
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
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
The elastic secrets of the chameleon tongue. Zbl 1371.92031
Moulton, Derek E.; Lessinnes, Thomas; O’Keeffe, Stephen; Dorfmann, Luis; Goriely, Alain
1
2016
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
Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020
Yavari, Arash; Goriely, Alain
1
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
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
1
2014
Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062
Majumdar, Apala; Goriely, Alain
1
2013
The dynamics of stretchable rods in the inertial case. Zbl 1138.74357
Lafortune, Stéphane; Goriely, Alain; Tabor, Michael
1
2006
The role of complex-time singularities in chaotic dynamics. Zbl 0982.37023
Goriely, A.; Tabor, M.
1
1998
Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
1
2020
Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
4
2019
Likely cavitation in stochastic elasticity. Zbl 1425.74084
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
3
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
Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306
Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain
1
2019
Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013
Erlich, Alexander; Moulton, Derek 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
8
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
40
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
10
2017
A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008
Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain
4
2017
Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031
Lessinnes, Thomas; Goriely, Alain
3
2017
Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019
Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain
2
2017
Bulging brains. Zbl 1373.74076
Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E.
2
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
A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071
Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash
8
2016
The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048
Yavari, Arash; Goriely, Alain
4
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 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
The elastic secrets of the chameleon tongue. Zbl 1371.92031
Moulton, Derek E.; Lessinnes, Thomas; O’Keeffe, Stephen; Dorfmann, Luis; Goriely, Alain
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
2
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
Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020
Yavari, Arash; Goriely, Alain
1
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
The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023
Yavari, Arash; Goriely, Alain
8
2014
Surface growth kinematics via local curve evolution. Zbl 1280.92010
Moulton, Derek E.; Goriely, Alain
4
2014
Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237
Mihai, L. Angela; Goriely, Alain
2
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
1
2014
Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047
Yavari, Arash; Goriely, Alain
13
2013
Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210
Goriely, Alain; Tabor, Michael
10
2013
The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017
Hall, Cameron L.; Vella, Dominic; 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
1
2013
Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006
Yavari, Arash; Goriely, Alain
46
2012
A mathematical model of tumor-immune interactions. Zbl 1397.92358
Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain
28
2012
Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046
Yavari, Arash; Goriely, Alain
20
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
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.
52
2011
Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088
Moulton, D. E.; Goriely, A.
20
2011
Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011
Mihai, L. Angela; Goriely, Alain
20
2011
Anticavitation and differential growth in elastic shells. Zbl 1273.74181
Moulton, Derek E.; Goriely, Alain
5
2011
Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142
McMahon, Joseph; Goriely, Alain; Tabor, Michael
4
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
4
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
14
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
4
2010
Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070
Vandiver, Rebecca; Goriely, Alain
8
2009
Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035
Vandiver, Rebecca; Goriely, Alain
3
2009
Nonlinear Euler buckling. Zbl 1152.74342
Goriely, Alain; Vandiver, Rebecca; Destrade, Michel
20
2008
Elastic growth models. Zbl 1382.92184
Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca
9
2008
Helices. Zbl 1160.74373
Chouaieb, Nadia; Goriely, Alain; Maddocks, John H.
33
2006
Instabilities in elastomers and in soft tissues. Zbl 1107.74018
Goriely, A.; Destrade, M.; Ben Amar, M.
11
2006
Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034
Goriely, Alain
10
2006
The dynamics of stretchable rods in the inertial case. Zbl 1138.74357
Lafortune, Stéphane; Goriely, Alain; Tabor, Michael
1
2006
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
69
2005
Knotted umbilical cords. Zbl 1092.92025
Goriely, Alain
2
2005
Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014
Goriely, Alain; Károlyi, György; Tabor, Michael
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.
21
2002
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
95
2001
On the dynamics of elastic strips. Zbl 1053.74026
Goriely, A.; Nizette, M.; Tabor, M.
22
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.
7
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
30
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
34
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
49
1996
The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023
Goriely, Alain; Tabor, Michael
9
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.
10
1994
Investigation of Painlevé property under time singularities transformations. Zbl 0760.34010
Goriely, Alain
8
1992
all top 5

Cited by 1,021 Authors

60 Goriely, Alain
23 Llibre, Jaume
21 Yavari, Arash
14 Kuhl, Ellen
12 Valls Anglés, Cláudia
11 Mihai, L. Angela
11 Shi, Shaoyun
11 Zhang, Xiang
10 Ciarletta, Pasquale
10 Destrade, Michel
10 Murphy, Jeremiah G.
9 Kupferman, Raz
9 Moulton, Derek E.
9 Tabor, Michael
8 Rubin, Miles B.
7 Guha, Partha
7 Horgan, Cornelius Oliver
7 Putkaradze, Vakhtang
6 Ben Amar, Martine
6 Ghose Choudhury, Anindya
6 Kumar, Ajeet
6 Li, Wenlei
6 Vandiver, Rebecca M.
6 Woolley, Thomas E.
5 Chèze, Guillaume
5 Dai, Hui-Hui
5 Epstein, Marcelo
5 Gay-Balmaz, François
5 Giné, Jaume
5 Hernández-Bermejo, Benito
5 Kawakubo, Satoshi
5 Saccomandi, Giuseppe
4 Ali, Ahmad Tawfik
4 Audoly, Basile
4 Balbi, Valentina
4 Buganza Tepole, Adrián
4 Cotsakis, Spiros
4 Demina, Maria V.
4 Fried, Eliot
4 Golgoon, Ashkan
4 Gou, Kun
4 Gupta, Anurag P.
4 Maor, Cy
4 Ogden, Raymond William
4 Pence, Thomas J.
4 Purohit, Prashant K.
4 Safadi, M. M.
4 Singh, Raushan
4 van der Heijden, Gert H. M.
4 Xu, Zhiguo
3 Baris, J. S.
3 Brenig, Léon
3 Chapman, Stephen Jonathan
3 Chirat, Regis
3 Della Corte, Alessandro
3 dell’Isola, Francesco
3 Esen, Oğul
3 Fok, Pak-Wing
3 Huang, Kaiyin
3 İlarslan, Kazim
3 Ivanov, Rossen I.
3 Javili, Ali
3 Jiao, Jia
3 Lafortune, Stéphane
3 Linder, Christian
3 Mahdi, Adam
3 McMahon, Joseph
3 Menini, Laura
3 Merodio, Jose
3 O’Reilly, Oliver Mary
3 Parnell, William J.
3 Perthame, Benoît
3 Roychowdhury, Ayan
3 Sadik, Souhayl
3 Sáez, Pablo
3 Sozio, Fabio
3 Tang, Yilei
3 Tornambè, Antonio
3 Tsokaros, Antonios A.
3 Van Goethem, Nicolas
3 Wang, Fanfan
3 Wyatt, Hayley
2 Abilez, Oscar John
2 Acharya, Amit
2 Algaba, Antonio
2 Ambrosi, Davide
2 Ameline, Olivier
2 Amstutz, Samuel
2 Andreaus, Ugo A.
2 Angoshtari, Arzhang
2 Anikonov, Yuriĭ Evgenievich
2 Arabameri, Abazar
2 Argudo, David
2 Asemani, Davud
2 Aziz, Waleed
2 Ballesteros, Angel
2 Barone, Vincenzo
2 Battista, Antonio
2 Bertails-Descoubes, Florence
2 Blasco, Alfonso
...and 921 more Authors
all top 5

Cited in 168 Serials

39 Journal of Elasticity
34 Journal of the Mechanics and Physics of Solids
34 Mathematics and Mechanics of Solids
27 Journal of Theoretical Biology
19 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
18 Computer Methods in Applied Mechanics and Engineering
18 Physica D
16 International Journal of Engineering Science
15 Journal of Mathematical Physics
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Journal of Differential Equations
12 Physics Letters. A
11 Journal of Mathematical Analysis and Applications
11 Journal of Nonlinear Science
9 Acta Mechanica
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Archive for Rational Mechanics and Analysis
8 Journal of Computational Physics
8 Mathematical Biosciences
8 Nonlinear Dynamics
7 Journal of Engineering Mathematics
7 Applied Mathematics and Computation
6 Journal of Mathematical Biology
6 Chaos, Solitons and Fractals
6 Computational Mechanics
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 Meccanica
5 Continuum Mechanics and Thermodynamics
5 Communications in Nonlinear Science and Numerical Simulation
5 Qualitative Theory of Dynamical Systems
4 Journal of Fluid Mechanics
4 Journal of Statistical Physics
4 Journal of Geometry and Physics
4 Applied Mathematics Letters
4 SIAM Journal on Applied Mathematics
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
3 Physica A
3 Physics Letters. B
3 Wave Motion
3 Bulletin of Mathematical Biology
3 Proceedings of the American Mathematical Society
3 Quarterly of Applied Mathematics
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 Journal of Nonlinear Mathematical Physics
3 International Journal of Geometric Methods in Modern Physics
3 Mathematical Biosciences and Engineering
3 Computational & Mathematical Methods in Medicine
2 Modern Physics Letters B
2 Computers & Mathematics with Applications
2 Computer Physics Communications
2 Journal of Applied Mathematics and Mechanics
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Demonstratio Mathematica
2 International Journal for Numerical Methods in Engineering
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Theoretical Computer Science
2 Archive of Applied Mechanics
2 Physics of Fluids
2 Journal of Mathematical Sciences (New York)
2 Journal of Biological Systems
2 Lobachevskii Journal of Mathematics
2 Archives of Computational Methods in Engineering
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Acta Mechanica Sinica
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 European Journal of Physics
1 Israel Journal of Mathematics
1 Journal of the Franklin Institute
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Prikladnaya Matematika i Mekhanika
1 Fortschritte der Physik
1 Automatica
1 Czechoslovak Mathematical Journal
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Mathematische Nachrichten
...and 68 more Serials
all top 5

Cited in 46 Fields

339 Mechanics of deformable solids (74-XX)
142 Biology and other natural sciences (92-XX)
122 Ordinary differential equations (34-XX)
89 Dynamical systems and ergodic theory (37-XX)
61 Differential geometry (53-XX)
60 Partial differential equations (35-XX)
41 Mechanics of particles and systems (70-XX)
30 Fluid mechanics (76-XX)
28 Numerical analysis (65-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 Statistical mechanics, structure of matter (82-XX)
11 Relativity and gravitational theory (83-XX)
9 Computer science (68-XX)
9 Optics, electromagnetic theory (78-XX)
8 Difference and functional equations (39-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Commutative algebra (13-XX)
5 Special functions (33-XX)
5 Quantum theory (81-XX)
4 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
4 Probability theory and stochastic processes (60-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Manifolds and cell complexes (57-XX)
3 Astronomy and astrophysics (85-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Field theory and polynomials (12-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Nonassociative rings and algebras (17-XX)
2 Integral equations (45-XX)
2 Statistics (62-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Number theory (11-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)

Citations by Year

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