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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
all top 5

Co-Authors

9 single-authored
20 Tabor, Michael
18 Mihai, L. Angela
15 Moulton, Derek E.
13 Yavari, Arash
10 Kuhl, Ellen
9 Woolley, Thomas E.
5 Robertson-Tessi, Mark
5 Vandiver, Rebecca M.
4 Chirat, Regis
4 Destrade, Michel
4 El-Kareh, Ardith W.
4 Fitt, Danielle
4 Lessinnes, Thomas
4 Vella, Dominic
4 Waters, Sarah Louise
3 Beers, David
3 Chapman, Stephen Jonathan
3 Erlich, Alexander
3 Goodbrake, Christian
3 Harrington, Heather A.
3 McMahon, Joseph
3 Nizette, Michel
2 Baker, Ruth Elizabeth
2 Ben Amar, Martine
2 Byrne, Helen Mary
2 Gaffney, Eamonn A.
2 Garikipati, Krishna
2 Hall, Cameron Luke
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 Oliveri, Hadrien
2 Prior, Christopher B.
2 Thompson, Travis B.
2 Walker, Benjamin J.
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 Bick, Christian
1 Bintu, B.
1 Bountis, Tassos C.
1 Brenig, Léon
1 Brun, P.-T.
1 Burlakov, Victor M.
1 Butler, C. A. M.
1 Celora, Giulia L.
1 Chouaieb, Nadia
1 Cowin, Stephen C.
1 de Pascalis, Riccardo
1 Domokos, Gábor
1 Dorfmann, Luis
1 Epstein, Marcelo
1 Fornari, Sveva
1 García-Grajales, Julián Andrés
1 Goniotaki, Despoina
1 Hanger, Diane P.
1 Hausrath, Andrew
1 Hennessy, Matthew G.
1 Holland, Maria A.
1 Holzapfel, Gerhard Alfred
1 Horváth, Ákos G.
1 Humphrey, Jay D.
1 Jérusalem, Antoine
1 Jia, Fei
1 Jones, Gareth Wyn
1 Kaczmarski, Bartosz
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 Putra, Prama
1 Rahman, Proton
1 Regős, Krisztina
1 Saccomandi, Giuseppe
1 Sadik, Souhayl
1 Sáez, Pablo
1 Schäfer, Amelie
...and 5 more Co-Authors
all top 5

Serials

12 Journal of Elasticity
10 Journal of Theoretical Biology
10 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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
7 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 Computer Methods in Applied Mechanics and Engineering
2 IMA Journal of Applied Mathematics
2 Journal of Mathematical Biology
2 Physics Letters. A
2 Bulletin of Mathematical Biology
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 International Journal of Solids and Structures
1 Quarterly Journal of Mechanics and Applied Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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 Transactions of Mathematics and its Applications
1 Very Short Introductions

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 1,452 times in 933 Documents Cited by Year
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
140
2001
The mathematics and mechanics of biological growth. Zbl 1398.92003
Goriely, Alain
98
2017
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
88
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.
81
2011
Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006
Yavari, Arash; Goriely, Alain
68
2012
Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations. Zbl 0867.58036
Goriely, Alain
53
1996
A mathematical model of tumor-immune interactions. Zbl 1397.92358
Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain
53
2012
Helices. Zbl 1160.74373
Chouaieb, Nadia; Goriely, Alain; Maddocks, John H.
41
2006
Towards a classification of Euler-Kirchhoff filaments. Zbl 0965.74031
Nizette, Michel; Goriely, Alain
35
1999
Nonlinear dynamics of filaments. I: Dynamical instabilities. Zbl 0962.74513
Goriely, Alain; Tabor, Michael
34
1997
Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046
Yavari, Arash; Goriely, Alain
32
2012
Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011
Mihai, L. Angela; Goriely, Alain
28
2011
Tendril perversion in intrinsically curved rods. Zbl 1100.74575
McMillen, T.; Goriely, A.
28
2002
Nonlinear Euler buckling. Zbl 1152.74342
Goriely, Alain; Vandiver, Rebecca; Destrade, Michel
27
2008
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
26
2017
On the dynamics of elastic strips. Zbl 1053.74026
Goriely, A.; Nizette, M.; Tabor, M.
24
2001
Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088
Moulton, D. E.; Goriely, A.
23
2011
Nonlinear dynamics of filaments. II: Nonlinear analysis. Zbl 0962.74514
Goriely, Alain; Tabor, Michael
22
1997
Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047
Yavari, Arash; Goriely, Alain
20
2013
Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 1528.74014
Yavari, Arash; Goriely, Alain
20
2013
The nonlinear dynamics of filaments. Zbl 0985.74030
Goriely, Alain; Tabor, Michael
19
2000
Necessary and sufficient conditions for finite time singularities in ordinary differential equations. Zbl 0962.34003
Goriely, Alain; Hyde, Craig
17
2000
Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210
Goriely, Alain; Tabor, Michael
17
2013
On the mechanical stability of growing arteries. Zbl 1425.74324
Goriely, Alain; Vandiver, Rebecca
16
2010
Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052
Goriely, A.; Tabor, M.
14
1997
Finite-time blow-up in dynamical systems. Zbl 0946.34074
Goriely, Alain; Hyde, Craig
13
1998
Instabilities in elastomers and in soft tissues. Zbl 1107.74018
Goriely, A.; Destrade, M.; Ben Amar, M.
13
2006
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
12
2011
Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034
Goriely, Alain
12
2006
Investigation of Painlevé property under time singularities transformations. Zbl 0760.34010
Goriely, Alain
12
1992
The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023
Yavari, Arash; Goriely, Alain
12
2014
A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071
Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash
12
2016
Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
12
2018
Mechanical growth and morphogenesis of seashells. Zbl 1337.92024
Moulton, D. E.; Goriely, A.; Chirat, R.
11
2012
Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070
Vandiver, Rebecca; Goriely, Alain
10
2009
A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031
Goriely, A.
10
2000
Elastic growth models. Zbl 1382.92184
Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca
10
2008
Painlevé analysis and normal forms. Zbl 0797.34040
Brenig, L.; Goriely, A.
10
1994
A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506
Bountis, T.; Goriely, A.; Kollmann, M.
9
1995
Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods. Zbl 0941.74028
Goriely, Alain; Tabor, Michael
9
1998
Singularity confinement and algebraic integrability. Zbl 1070.37039
Lafortune, S.; Goriely, A.
9
2004
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
9
2020
The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023
Goriely, Alain; Tabor, Michael
8
1995
The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048
Yavari, Arash; Goriely, Alain
8
2016
Anticavitation and differential growth in elastic shells. Zbl 1273.74181
Moulton, Derek E.; Goriely, Alain
7
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
7
2015
Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
7
2019
Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Zbl 07280066
Melnik, Andrey V.; Goriely, Alain
7
2013
Is it safe to lift COVID-19 travel bans? The Newfoundland story. Zbl 1469.92117
Linka, Kevin; Rahman, Proton; Goriely, Alain; Kuhl, Ellen
7
2020
Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065
McMahon, Joseph; Goriely, Alain; Tabor, Michael
7
2010
Self-diffusion in remodeling and growth. Zbl 1320.74033
Epstein, Marcelo; Goriely, Alain
6
2012
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
Surface growth kinematics via local curve evolution. Zbl 1280.92010
Moulton, Derek E.; Goriely, Alain
6
2014
Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306
Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain
6
2019
On the mechanics of thin films and growing surfaces. Zbl 1528.74073
Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen
6
2013
Morphoelastic rods. II: Growing birods. Zbl 1443.74211
Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain
6
2017
Biomechanical models of hyphal growth in actinomycetes. Zbl 1464.92026
Goriely, Alain; Tabor, Michael
6
2003
On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154
Yavari, Arash; 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
Likely cavitation in stochastic elasticity. Zbl 1425.74084
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
5
2019
The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. Zbl 1459.74021
Goodbrake, Christian; Yavari, Arash; Goriely, Alain
5
2020
Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142
McMahon, Joseph; Goriely, Alain; Tabor, Michael
5
2011
The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031
Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael
5
2010
Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007
Majumdar, Apala; Prior, Christopher; Goriely, Alain
5
2012
Pulses, fronts and oscillations of an elastic rod. Zbl 0942.74042
Lega, Joceline; Goriely, Alain
4
1999
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
4
2011
Bulging brains. Zbl 1373.74076
Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E.
4
2017
Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031
Lessinnes, Thomas; Goriely, Alain
4
2017
Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035
Vandiver, Rebecca; Goriely, Alain
4
2009
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
4
2019
Multiscale integration of environmental stimuli in plant tropism produces complex behaviors. Zbl 1485.92071
Moulton, Derek E.; Oliveri, Hadrien; Goriely, Alain
4
2020
Painlevé analysis and normal forms theory. Zbl 0988.34076
Goriely, Alain
3
2001
Likely striping in stochastic nematic elastomers. Zbl 07259260
Mihai, L. Angela; Goriely, Alain
3
2020
Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143
McMahon, Joseph; Goriely, Alain; Tabor, Michael
3
2011
The morpho-mechanical basis of ammonite form. Zbl 1405.92026
Moulton, D. E.; Goriely, A.; Chirat, Regis
3
2015
Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062
Majumdar, Apala; Goriely, Alain
3
2013
The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017
Hall, Cameron L.; Vella, Dominic; Goriely, Alain
3
2013
Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034
Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain
3
2017
Kovalevskaya rods and Kovalevskaya waves. Zbl 0947.74028
Goriely, A.; Nizette, M.
2
2000
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
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
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
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
2
2016
Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019
Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain
2
2017
A pseudo-anelastic model for stress softening in liquid crystal elastomers. Zbl 1472.76004
Mihai, L. Angela; Goriely, Alain
2
2020
The universal program of nonlinear hyperelasticity. Zbl 1528.74015
Yavari, Arash; Goriely, Alain
2
2023
Universal displacements in linear elasticity. Zbl 1484.74006
Yavari, Arash; Goodbrake, Christian; Goriely, Alain
2
2020
Biomechanical model for appressorial design in Magnaporthe grisea. Zbl 1447.92037
Tongen, Anthony; Goriely, Alain; Tabor, Michael
2
2006
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 07254343
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
2
2019
Continuum mechanical modeling of axonal growth. Zbl 1439.74197
García-Grajales, Julián Andrés; Jérusalem, Antoine; 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
Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013
Erlich, Alexander; Moulton, Derek E.; Goriely, Alain
2
2019
The role of complex-time singularities in chaotic dynamics. Zbl 0982.37023
Goriely, A.; Tabor, M.
1
1998
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 universal program of nonlinear hyperelasticity. Zbl 1528.74015
Yavari, Arash; Goriely, Alain
2
2023
A rod theory for liquid crystalline elastomers. Zbl 1526.74040
Goriely, Alain; Moulton, Derek E.; Mihai, L. Angela
1
2023
Bayesian design optimization of biomimetic soft actuators. Zbl 07665603
Kaczmarski, Bartosz; Moulton, Derek E.; Goriely, Alain; Kuhl, Ellen
1
2023
Minimal morphoelastic models of solid tumour spheroids: a tutorial. Zbl 1512.92004
Walker, Benjamin J.; Celora, Giulia L.; Goriely, Alain; Moulton, Derek E.; Byrne, Helen M.
1
2023
A morphoelastic shell model of the eye. Zbl 1473.74097
Kimpton, L. S.; Walker, B. J.; Hall, C. L.; Bintu, B.; Crosby, D.; Byrne, H. M.; Goriely, A.
1
2021
Liquid crystal elastomers wrinkling. Zbl 1468.74036
Goriely, Alain; Mihai, L. Angela
1
2021
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
9
2020
Is it safe to lift COVID-19 travel bans? The Newfoundland story. Zbl 1469.92117
Linka, Kevin; Rahman, Proton; Goriely, Alain; Kuhl, Ellen
7
2020
The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. Zbl 1459.74021
Goodbrake, Christian; Yavari, Arash; Goriely, Alain
5
2020
Multiscale integration of environmental stimuli in plant tropism produces complex behaviors. Zbl 1485.92071
Moulton, Derek E.; Oliveri, Hadrien; Goriely, Alain
4
2020
Likely striping in stochastic nematic elastomers. Zbl 07259260
Mihai, L. Angela; Goriely, Alain
3
2020
A pseudo-anelastic model for stress softening in liquid crystal elastomers. Zbl 1472.76004
Mihai, L. Angela; Goriely, Alain
2
2020
Universal displacements in linear elasticity. Zbl 1484.74006
Yavari, Arash; Goodbrake, Christian; 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
Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
7
2019
Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306
Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain
6
2019
Likely cavitation in stochastic elasticity. Zbl 1425.74084
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
5
2019
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
4
2019
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 07254343
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
2
2019
Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013
Erlich, Alexander; Moulton, Derek E.; Goriely, Alain
2
2019
Likely oscillatory motions of stochastic hyperelastic solids. Zbl 1490.74013
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
98
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
26
2017
Morphoelastic rods. II: Growing birods. Zbl 1443.74211
Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain
6
2017
A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008
Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain
5
2017
Bulging brains. Zbl 1373.74076
Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E.
4
2017
Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031
Lessinnes, Thomas; Goriely, Alain
4
2017
Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034
Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; 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
Continuum mechanical modeling of axonal growth. Zbl 1439.74197
García-Grajales, Julián Andrés; Jérusalem, Antoine; Goriely, Alain
2
2017
Axonal buckling following stretch injury. Zbl 1375.92009
Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain
1
2017
Microstructure-based hyperelastic models for closed-cell solids. Zbl 1404.74134
Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain
1
2017
A tale of two nested elastic rings. Zbl 1404.74083
Napoli, G.; Goriely, A.
1
2017
A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071
Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash
12
2016
The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048
Yavari, Arash; Goriely, Alain
8
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
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
2
2016
The mechanics of decompressive craniectomy: bulging in idealized geometries. Zbl 1482.74129
Weickenmeier, Johannes; Kuhl, Ellen; Goriely, Alain
1
2016
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
7
2015
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
On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154
Yavari, Arash; Goriely, Alain
5
2015
The morpho-mechanical basis of ammonite form. Zbl 1405.92026
Moulton, D. E.; Goriely, A.; Chirat, Regis
3
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
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
12
2014
Surface growth kinematics via local curve evolution. Zbl 1280.92010
Moulton, Derek E.; Goriely, Alain
6
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
20
2013
Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 1528.74014
Yavari, Arash; Goriely, Alain
20
2013
Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210
Goriely, Alain; Tabor, Michael
17
2013
Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Zbl 07280066
Melnik, Andrey V.; Goriely, Alain
7
2013
On the mechanics of thin films and growing surfaces. Zbl 1528.74073
Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen
6
2013
Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062
Majumdar, Apala; Goriely, Alain
3
2013
The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017
Hall, Cameron L.; Vella, Dominic; Goriely, Alain
3
2013
Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006
Yavari, Arash; Goriely, Alain
68
2012
A mathematical model of tumor-immune interactions. Zbl 1397.92358
Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain
53
2012
Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046
Yavari, Arash; Goriely, Alain
32
2012
Mechanical growth and morphogenesis of seashells. Zbl 1337.92024
Moulton, D. E.; Goriely, A.; Chirat, R.
11
2012
Self-diffusion in remodeling and growth. Zbl 1320.74033
Epstein, Marcelo; Goriely, Alain
6
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
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.
81
2011
Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011
Mihai, L. Angela; Goriely, Alain
28
2011
Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088
Moulton, D. E.; Goriely, A.
23
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
12
2011
Anticavitation and differential growth in elastic shells. Zbl 1273.74181
Moulton, Derek E.; Goriely, Alain
7
2011
Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142
McMahon, Joseph; Goriely, Alain; Tabor, Michael
5
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
4
2011
Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143
McMahon, Joseph; Goriely, Alain; Tabor, Michael
3
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
10
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
27
2008
Elastic growth models. Zbl 1382.92184
Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca
10
2008
Helices. Zbl 1160.74373
Chouaieb, Nadia; Goriely, Alain; Maddocks, John H.
41
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
12
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
2
2006
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
88
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.
9
2004
Whip waves. Zbl 1098.74590
McMillen, Tyler; Goriely, Alain
6
2003
Biomechanical models of hyphal growth in actinomycetes. Zbl 1464.92026
Goriely, Alain; Tabor, Michael
6
2003
Tendril perversion in intrinsically curved rods. Zbl 1100.74575
McMillen, T.; Goriely, A.
28
2002
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
140
2001
On the dynamics of elastic strips. Zbl 1053.74026
Goriely, A.; Nizette, M.; Tabor, M.
24
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
19
2000
Necessary and sufficient conditions for finite time singularities in ordinary differential equations. Zbl 0962.34003
Goriely, Alain; Hyde, Craig
17
2000
A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031
Goriely, A.
10
2000
...and 14 more Documents
all top 5

Cited by 1,507 Authors

77 Goriely, Alain
30 Yavari, Arash
28 Llibre, Jaume
19 Kuhl, Ellen
15 Mihai, L. Angela
14 Moulton, Derek E.
13 Shi, Shaoyun
13 Zhang, Xiang
12 Destrade, Michel
12 Murphy, Jeremiah G.
12 Valls Anglés, Cláudia
11 Ciarletta, Pasquale
10 Horgan, Cornelius Oliver
10 Rubin, Miles B.
9 Guha, Partha
9 Kupferman, Raz
9 Tabor, Michael
8 Ghose Choudhury, Anindya
8 Saccomandi, Giuseppe
7 Epstein, Marcelo
7 Giné, Jaume
7 Pence, Thomas J.
7 Putkaradze, Vakhtang
7 Woolley, Thomas E.
6 Ben Amar, Martine
6 Demina, Maria V.
6 Golgoon, Ashkan
6 Grillo, Alfio
6 Kumar, Ajeet
6 Li, Wenlei
6 Vandiver, Rebecca M.
5 Algaba, Antonio
5 Ambrosi, Davide
5 Chèze, Guillaume
5 Demirkoparan, Hasan
5 Demirkus, Dilek
5 Distefano, Salvatore
5 García, Cristóbal
5 Gay-Balmaz, François
5 Hernández-Bermejo, Benito
5 Huang, Kaiyin
5 Kawakubo, Satoshi
5 McLaren, David I.
5 Merodio, Jose
5 Ogden, Raymond William
5 Purohit, Prashant K.
5 Quispel, Gilles Reinout Willem
5 Sozio, Fabio
5 Wang, Jiong
4 Al-Mekhlafi, Seham Mahyoub
4 Ali, Ahmad Tawfik
4 Audoly, Basile
4 Balbi, Valentina
4 Brenig, Léon
4 Buganza Tepole, Adrián
4 Byrne, Helen Mary
4 Chapman, Stephen Jonathan
4 Cotsakis, Spiros
4 Dai, Hui-Hui
4 Esen, Oğul
4 Fok, Pak-Wing
4 Fried, Eliot
4 Gebhardt, Cristian Guillermo
4 Gou, Kun
4 Gupta, Anurag P.
4 Humphrey, Jay D.
4 İlarslan, Kazim
4 Javili, Ali
4 Khajanchi, Subhas
4 Koifman, K. G.
4 Linder, Christian
4 Lychev, Sergei A.
4 Maor, Cy
4 Murashkin, Evgeniĭ Valer’evich
4 Nardinocchi, Paola
4 Özdemir, Zehra
4 Perthame, Benoît
4 Reyes, Manuel
4 Ruiz-Baier, Ricardo
4 Sáez, Pablo
4 Safadi, M. M.
4 Singh, Raushan
4 Steinmann, Paul
4 Sweilam, Nasser Hassan
4 van der Heijden, Gert H. M.
4 van der Kamp, Peter H.
4 Wang, Fanfan
4 Xu, Zhiguo
3 Abeyaratne, Rohan C.
3 Baker, Ruth Elizabeth
3 Baris, J. S.
3 Böhmer, Christian G.
3 Bountis, Tassos C.
3 Budday, Silvia
3 Cai, Zongxi
3 Camci, Çetin
3 Chirat, Regis
3 Ciambella, Jacopo
3 Della Corte, Alessandro
3 dell’Isola, Francesco
...and 1,407 more Authors
all top 5

Cited in 207 Serials

66 Journal of Elasticity
46 Journal of the Mechanics and Physics of Solids
45 Mathematics and Mechanics of Solids
38 Journal of Theoretical Biology
33 Computer Methods in Applied Mechanics and Engineering
27 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
25 International Journal of Engineering Science
22 Physica D
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 Journal of Mathematical Physics
18 Journal of Nonlinear Science
15 Acta Mechanica
13 Journal of Differential Equations
12 Journal of Mathematical Analysis and Applications
12 Physics Letters. A
12 SIAM Journal on Applied Mathematics
12 European Journal of Mechanics. A. Solids
11 Chaos, Solitons and Fractals
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Journal of Computational Physics
10 Journal of Engineering Mathematics
10 Journal of Mathematical Biology
10 Meccanica
10 Communications in Nonlinear Science and Numerical Simulation
9 Archive for Rational Mechanics and Analysis
9 Mathematical Biosciences
9 Journal of Physics A: Mathematical and Theoretical
8 Bulletin of Mathematical Biology
8 Applied Mathematics and Computation
8 Computational Mechanics
8 Nonlinear Dynamics
7 Mathematical Methods in the Applied Sciences
6 Wave Motion
6 Applied Mathematical Modelling
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Regular and Chaotic Dynamics
6 Lobachevskii Journal of Mathematics
6 Mathematical Biosciences and Engineering
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 Fluid Mechanics
5 Physica A
5 Journal of Geometry and Physics
5 Proceedings of the National Academy of Sciences of the United States of America
5 Continuum Mechanics and Thermodynamics
5 Qualitative Theory of Dynamical Systems
5 Discrete and Continuous Dynamical Systems. Series B
4 International Journal for Numerical Methods in Engineering
4 Quarterly of Applied Mathematics
4 Applied Mathematics Letters
4 European Journal of Applied Mathematics
4 Journal of Mathematical Sciences (New York)
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 International Journal of Geometric Methods in Modern Physics
4 Computational & Mathematical Methods in Medicine
3 Journal of Statistical Physics
3 Nonlinearity
3 Physics Letters. B
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Journal of Symbolic Computation
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 Biological Systems
3 Journal of Nonlinear Mathematical Physics
3 Mediterranean Journal of Mathematics
3 Advances in Difference Equations
3 Acta Mechanica Sinica
3 Applied Mathematics and Nonlinear Sciences
2 Modern Physics Letters B
2 Computers & Mathematics with Applications
2 Computer Physics Communications
2 Journal of Applied Mathematics and Mechanics
2 Theoretical and Mathematical Physics
2 Demonstratio Mathematica
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Theoretical Computer Science
2 SIAM Journal on Mathematical Analysis
2 Archive of Applied Mechanics
2 Physics of Fluids
2 Advances in Applied Clifford Algebras
2 New Journal of Physics
2 Communications in Contemporary Mathematics
2 Differentsial’nye Uravneniya i Protsessy Upravleniya
2 Archives of Computational Methods in Engineering
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIAM Journal on Applied Dynamical Systems
2 Theoretical and Applied Mechanics
2 Analysis and Applications (Singapore)
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
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
...and 107 more Serials
all top 5

Cited in 50 Fields

497 Mechanics of deformable solids (74-XX)
247 Biology and other natural sciences (92-XX)
166 Ordinary differential equations (34-XX)
117 Dynamical systems and ergodic theory (37-XX)
115 Partial differential equations (35-XX)
77 Differential geometry (53-XX)
51 Fluid mechanics (76-XX)
50 Mechanics of particles and systems (70-XX)
48 Numerical analysis (65-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
19 Statistical mechanics, structure of matter (82-XX)
18 Relativity and gravitational theory (83-XX)
15 Difference and functional equations (39-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Computer science (68-XX)
11 Optics, electromagnetic theory (78-XX)
9 Systems theory; control (93-XX)
8 Algebraic geometry (14-XX)
8 Quantum theory (81-XX)
7 General and overarching topics; collections (00-XX)
6 Commutative algebra (13-XX)
6 Manifolds and cell complexes (57-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Special functions (33-XX)
5 Probability theory and stochastic processes (60-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Nonassociative rings and algebras (17-XX)
4 Topological groups, Lie groups (22-XX)
4 Real functions (26-XX)
4 Statistics (62-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Field theory and polynomials (12-XX)
3 Approximations and expansions (41-XX)
3 Integral equations (45-XX)
3 Operator theory (47-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)
3 Operations research, mathematical programming (90-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Citations by Year

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