Edit Profile (opens in new tab) Goriely, Alain Compute Distance To: Compute Author ID: 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 all top 5 Fields 79 Mechanics of deformable solids (74-XX) 39 Biology and other natural sciences (92-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 6 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 1002.34001Goriely, Alain 102 2001 Growth and instability in elastic tissues. Zbl 1120.74336Ben Amar, Martine; Goriely, Alain 76 2005 Perspectives on biological growth and remodeling. Zbl 1270.74134Ambrosi, 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 1398.92003Goriely, Alain 58 2017 Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006Yavari, Arash; Goriely, Alain 53 2012 Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations. Zbl 0867.58036Goriely, Alain 51 1996 Helices. Zbl 1160.74373Chouaieb, Nadia; Goriely, Alain; Maddocks, John H. 35 2006 A mathematical model of tumor-immune interactions. Zbl 1397.92358Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 32 2012 Nonlinear dynamics of filaments. I: Dynamical instabilities. Zbl 0962.74513Goriely, Alain; Tabor, Michael 32 1997 Towards a classification of Euler-Kirchhoff filaments. Zbl 0965.74031Nizette, Michel; Goriely, Alain 31 1999 Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046Yavari, Arash; Goriely, Alain 25 2012 Tendril perversion in intrinsically curved rods. Zbl 1100.74575McMillen, T.; Goriely, A. 24 2002 Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011Mihai, L. Angela; Goriely, Alain 24 2011 On the dynamics of elastic strips. Zbl 1053.74026Goriely, A.; Nizette, M.; Tabor, M. 23 2001 Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088Moulton, D. E.; Goriely, A. 22 2011 Nonlinear Euler buckling. Zbl 1152.74342Goriely, Alain; Vandiver, Rebecca; Destrade, Michel 21 2008 Nonlinear dynamics of filaments. II: Nonlinear analysis. Zbl 0962.74514Goriely, Alain; Tabor, Michael 20 1997 How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018Mihai, L. Angela; Goriely, Alain 19 2017 The nonlinear dynamics of filaments. Zbl 0985.74030Goriely, Alain; Tabor, Michael 16 2000 On the mechanical stability of growing arteries. Zbl 1425.74324Goriely, Alain; Vandiver, Rebecca 16 2010 Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047Yavari, Arash; Goriely, Alain 16 2013 Necessary and sufficient conditions for finite time singularities in ordinary differential equations. Zbl 0962.34003Goriely, Alain; Hyde, Craig 15 2000 Instabilities in elastomers and in soft tissues. Zbl 1107.74018Goriely, A.; Destrade, M.; Ben Amar, M. 13 2006 Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 12 2018 Finite-time blow-up in dynamical systems. Zbl 0946.34074Goriely, Alain; Hyde, Craig 12 1998 Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210Goriely, Alain; Tabor, Michael 12 2013 Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052Goriely, A.; Tabor, M. 11 1997 Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034Goriely, Alain 11 2006 Mechanical growth and morphogenesis of seashells. Zbl 1337.92024Moulton, D. E.; Goriely, A.; Chirat, R. 11 2012 A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash 11 2016 Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods. Zbl 0941.74028Goriely, 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 1228.74039Destrade, Michel; Goriely, Alain; Saccomandi, Giuseppe 9 2011 Painlevé analysis and normal forms. Zbl 0797.34040Brenig, L.; Goriely, A. 9 1994 Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070Vandiver, Rebecca; Goriely, Alain 9 2009 The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023Yavari, Arash; Goriely, Alain 9 2014 Elastic growth models. Zbl 1382.92184Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca 8 2008 The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023Goriely, Alain; Tabor, Michael 8 1995 Investigation of Painlevé property under time singularities transformations. Zbl 0760.34010Goriely, Alain 8 1992 A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506Bountis, T.; Goriely, A.; Kollmann, M. 8 1995 A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031Goriely, A. 8 2000 Singularity confinement and algebraic integrability. Zbl 1070.37039Lafortune, S.; Goriely, A. 7 2004 Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065McMahon, Joseph; Goriely, Alain; Tabor, Michael 7 2010 Whip waves. Zbl 1098.74590McMillen, Tyler; Goriely, Alain 6 2003 Anticavitation and differential growth in elastic shells. Zbl 1273.74181Moulton, Derek E.; Goriely, Alain 6 2011 Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures. Zbl 1371.92030Mihai, L. Angela; Alayyash, Khulud; Goriely, Alain 6 2015 Surface growth kinematics via local curve evolution. Zbl 1280.92010Moulton, Derek E.; Goriely, Alain 5 2014 Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007Majumdar, Apala; Prior, Christopher; Goriely, Alain 5 2012 The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael 5 2010 Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 5 2019 Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142McMahon, Joseph; Goriely, Alain; Tabor, Michael 5 2011 A model for effects of adaptive immunity on tumor response to chemotherapy and chemoimmunotherapy. Zbl 1343.92243Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 5 2015 A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 5 2017 The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048Yavari, Arash; Goriely, Alain 5 2016 Self-diffusion in remodeling and growth. Zbl 1320.74033Epstein, Marcelo; Goriely, Alain 4 2012 Pulses, fronts and oscillations of an elastic rod. Zbl 0942.74042Lega, Joceline; Goriely, Alain 4 1999 Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain 4 2019 Likely cavitation in stochastic elasticity. Zbl 1425.74084Mihai, 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 1429.92053Fornari, Sveva; Schäfer, Amelie; Kuhl, Ellen; Goriely, Alain 4 2020 Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035Vandiver, Rebecca; Goriely, Alain 4 2009 The morpho-mechanical basis of ammonite form. Zbl 1405.92026Moulton, D. E.; Goriely, A.; Chirat, Regis 3 2015 Painlevé analysis and normal forms theory. Zbl 0988.34076Goriely, Alain 3 2001 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196Mihai, 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 1349.74154Yavari, Arash; Goriely, Alain 3 2015 Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143McMahon, Joseph; Goriely, Alain; Tabor, Michael 3 2011 Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031Lessinnes, Thomas; Goriely, Alain 3 2017 Bulging brains. Zbl 1373.74076Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E. 3 2017 Likely striping in stochastic nematic elastomers. Zbl 07259260Mihai, L. Angela; Goriely, Alain 2 2020 Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 07280031Yavari, Arash; Goriely, Alain 2 2013 Three mechanical models for blebbing and multi-blebbing. Zbl 1330.92020Woolley, 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 1422.92013Erlich, 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 1284.74062Majumdar, Apala; Goriely, Alain 2 2013 The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017Hall, Cameron L.; Vella, Dominic; Goriely, Alain 2 2013 Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014Goriely, Alain; Károlyi, György; Tabor, Michael 2 2005 Knotted umbilical cords. Zbl 1092.92025Goriely, Alain 2 2005 The dynamics of stretchable rods in the inertial case. Zbl 1138.74357Lafortune, Stéphane; Goriely, Alain; Tabor, Michael 2 2006 Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions. Zbl 1273.74104De Pascalis, Riccardo; Destrade, Michel; Goriely, Alain 2 2011 Kovalevskaya rods and Kovalevskaya waves. Zbl 0947.74028Goriely, A.; Nizette, M. 2 2000 Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237Mihai, L. Angela; Goriely, Alain 2 2014 Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Zbl 1346.74051Mihai, L. Angela; Goriely, Alain 2 2016 Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain 2 2017 Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 2 2020 The role of topology and mechanics in uniaxially growing cell networks. Zbl 1472.92111Erlich, Alexander; Jones, Gareth W.; Tisseur, Françoise; Moulton, Derek E.; Goriely, Alain 1 2020 Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain 1 2017 Morphoelastic rods. II: Growing birods. Zbl 1443.74211Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain 1 2017 Biomechanical model for appressorial design in Magnaporthe grisea. Zbl 1447.92037Tongen, Anthony; Goriely, Alain; Tabor, Michael 1 2006 The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. Zbl 1459.74021Goodbrake, Christian; Yavari, Arash; Goriely, Alain 1 2020 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 07254343Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 1 2019 On the mechanics of thin films and growing surfaces. Zbl 07280061Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen 1 2013 Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Zbl 07280066Melnik, Andrey V.; Goriely, Alain 1 2013 Mechanical feedback in seashell growth and form. Zbl 1395.92019Erlich, A.; Howell, R.; Goriely, A.; Chirat, R.; Moulton, D. E. 1 2018 The role of complex-time singularities in chaotic dynamics. Zbl 0982.37023Goriely, A.; Tabor, M. 1 1998 Helices through 3 or 4 points? Zbl 1411.51008Goriely, Alain; Neukirch, Sébastien; Hausrath, Andrew 1 2012 A tale of two nested elastic rings. Zbl 1404.74083Napoli, G.; Goriely, A. 1 2017 Microstructure-based hyperelastic models for closed-cell solids. Zbl 1404.74134Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 1 2017 Controlled topological transitions in thin-film phase separation. Zbl 1320.35070Hennessy, Matthew G.; Burlakov, Victor M.; Goriely, Alain; Wagner, Barbara; Münch, Andreas 1 2015 Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020Yavari, Arash; Goriely, Alain 1 2015 Global contraction or local growth, bleb shape depends on more than just cell structure. Zbl 1343.92140Woolley, 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 1371.92031Moulton, 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 1371.70030Brun, P.-T.; Audoly, Basile; Goriely, Alain; Vella, Dominic 1 2016 Axonal buckling following stretch injury. Zbl 1375.92009Lang, 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 1429.92053Fornari, Sveva; Schäfer, Amelie; Kuhl, Ellen; Goriely, Alain 4 2020 Likely striping in stochastic nematic elastomers. Zbl 07259260Mihai, L. Angela; Goriely, Alain 2 2020 Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 2 2020 The role of topology and mechanics in uniaxially growing cell networks. Zbl 1472.92111Erlich, 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 1459.74021Goodbrake, Christian; Yavari, Arash; Goriely, Alain 1 2020 Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 5 2019 Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain 4 2019 Likely cavitation in stochastic elasticity. Zbl 1425.74084Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 4 2019 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 3 2019 Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013Erlich, Alexander; Moulton, Derek E.; Goriely, Alain 2 2019 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 07254343Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 1 2019 Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 12 2018 Mechanical feedback in seashell growth and form. Zbl 1395.92019Erlich, A.; Howell, R.; Goriely, A.; Chirat, R.; Moulton, D. E. 1 2018 The mathematics and mechanics of biological growth. Zbl 1398.92003Goriely, Alain 58 2017 How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018Mihai, L. Angela; Goriely, Alain 19 2017 A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 5 2017 Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031Lessinnes, Thomas; Goriely, Alain 3 2017 Bulging brains. Zbl 1373.74076Weickenmeier, 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 1376.92019Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain 2 2017 Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain 1 2017 Morphoelastic rods. II: Growing birods. Zbl 1443.74211Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain 1 2017 A tale of two nested elastic rings. Zbl 1404.74083Napoli, G.; Goriely, A. 1 2017 Microstructure-based hyperelastic models for closed-cell solids. Zbl 1404.74134Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 1 2017 Axonal buckling following stretch injury. Zbl 1375.92009Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain 1 2017 Continuum mechanical modeling of axonal growth. Zbl 1439.74197García-Grajales, Julián Andrés; Jérusalem, Antoine; Goriely, Alain 1 2017 A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash 11 2016 The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048Yavari, Arash; Goriely, Alain 5 2016 Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Zbl 1346.74051Mihai, L. Angela; Goriely, Alain 2 2016 The elastic secrets of the chameleon tongue. Zbl 1371.92031Moulton, 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 1371.70030Brun, P.-T.; Audoly, Basile; Goriely, Alain; Vella, Dominic 1 2016 Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures. Zbl 1371.92030Mihai, L. Angela; Alayyash, Khulud; Goriely, Alain 6 2015 A model for effects of adaptive immunity on tumor response to chemotherapy and chemoimmunotherapy. Zbl 1343.92243Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 5 2015 The morpho-mechanical basis of ammonite form. Zbl 1405.92026Moulton, 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 1349.74154Yavari, Arash; Goriely, Alain 3 2015 Controlled topological transitions in thin-film phase separation. Zbl 1320.35070Hennessy, Matthew G.; Burlakov, Victor M.; Goriely, Alain; Wagner, Barbara; Münch, Andreas 1 2015 Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020Yavari, Arash; Goriely, Alain 1 2015 Global contraction or local growth, bleb shape depends on more than just cell structure. Zbl 1343.92140Woolley, 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 1320.74023Yavari, Arash; Goriely, Alain 9 2014 Surface growth kinematics via local curve evolution. Zbl 1280.92010Moulton, Derek E.; Goriely, Alain 5 2014 Three mechanical models for blebbing and multi-blebbing. Zbl 1330.92020Woolley, 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 1348.74237Mihai, L. Angela; Goriely, Alain 2 2014 Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047Yavari, Arash; Goriely, Alain 16 2013 Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210Goriely, Alain; Tabor, Michael 12 2013 Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 07280031Yavari, Arash; Goriely, Alain 2 2013 Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062Majumdar, Apala; Goriely, Alain 2 2013 The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017Hall, Cameron L.; Vella, Dominic; Goriely, Alain 2 2013 On the mechanics of thin films and growing surfaces. Zbl 07280061Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen 1 2013 Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Zbl 07280066Melnik, Andrey V.; Goriely, Alain 1 2013 Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006Yavari, Arash; Goriely, Alain 53 2012 A mathematical model of tumor-immune interactions. Zbl 1397.92358Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 32 2012 Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046Yavari, Arash; Goriely, Alain 25 2012 Mechanical growth and morphogenesis of seashells. Zbl 1337.92024Moulton, D. E.; Goriely, A.; Chirat, R. 11 2012 Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007Majumdar, Apala; Prior, Christopher; Goriely, Alain 5 2012 Self-diffusion in remodeling and growth. Zbl 1320.74033Epstein, Marcelo; Goriely, Alain 4 2012 Helices through 3 or 4 points? Zbl 1411.51008Goriely, Alain; Neukirch, Sébastien; Hausrath, Andrew 1 2012 Perspectives on biological growth and remodeling. Zbl 1270.74134Ambrosi, 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 1243.74011Mihai, L. Angela; Goriely, Alain 24 2011 Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088Moulton, 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 1228.74039Destrade, Michel; Goriely, Alain; Saccomandi, Giuseppe 9 2011 Anticavitation and differential growth in elastic shells. Zbl 1273.74181Moulton, Derek E.; Goriely, Alain 6 2011 Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142McMahon, Joseph; Goriely, Alain; Tabor, Michael 5 2011 Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143McMahon, Joseph; Goriely, Alain; Tabor, Michael 3 2011 Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions. Zbl 1273.74104De Pascalis, Riccardo; Destrade, Michel; Goriely, Alain 2 2011 On the mechanical stability of growing arteries. Zbl 1425.74324Goriely, Alain; Vandiver, Rebecca 16 2010 Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065McMahon, Joseph; Goriely, Alain; Tabor, Michael 7 2010 The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael 5 2010 Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070Vandiver, Rebecca; Goriely, Alain 9 2009 Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035Vandiver, Rebecca; Goriely, Alain 4 2009 Nonlinear Euler buckling. Zbl 1152.74342Goriely, Alain; Vandiver, Rebecca; Destrade, Michel 21 2008 Elastic growth models. Zbl 1382.92184Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca 8 2008 Helices. Zbl 1160.74373Chouaieb, Nadia; Goriely, Alain; Maddocks, John H. 35 2006 Instabilities in elastomers and in soft tissues. Zbl 1107.74018Goriely, A.; Destrade, M.; Ben Amar, M. 13 2006 Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034Goriely, Alain 11 2006 The dynamics of stretchable rods in the inertial case. Zbl 1138.74357Lafortune, Stéphane; Goriely, Alain; Tabor, Michael 2 2006 Biomechanical model for appressorial design in Magnaporthe grisea. Zbl 1447.92037Tongen, Anthony; Goriely, Alain; Tabor, Michael 1 2006 Growth and instability in elastic tissues. Zbl 1120.74336Ben Amar, Martine; Goriely, Alain 76 2005 Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014Goriely, Alain; Károlyi, György; Tabor, Michael 2 2005 Knotted umbilical cords. Zbl 1092.92025Goriely, Alain 2 2005 Singularity confinement and algebraic integrability. Zbl 1070.37039Lafortune, S.; Goriely, A. 7 2004 Whip waves. Zbl 1098.74590McMillen, Tyler; Goriely, Alain 6 2003 Tendril perversion in intrinsically curved rods. Zbl 1100.74575McMillen, T.; Goriely, A. 24 2002 Integrability and nonintegrability of dynamical systems. Zbl 1002.34001Goriely, Alain 102 2001 On the dynamics of elastic strips. Zbl 1053.74026Goriely, A.; Nizette, M.; Tabor, M. 23 2001 Painlevé analysis and normal forms theory. Zbl 0988.34076Goriely, Alain 3 2001 The nonlinear dynamics of filaments. Zbl 0985.74030Goriely, Alain; Tabor, Michael 16 2000 Necessary and sufficient conditions for finite time singularities in ordinary differential equations. Zbl 0962.34003Goriely, Alain; Hyde, Craig 15 2000 A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031Goriely, A. 8 2000 Kovalevskaya rods and Kovalevskaya waves. Zbl 0947.74028Goriely, A.; Nizette, M. 2 2000 Towards a classification of Euler-Kirchhoff filaments. Zbl 0965.74031Nizette, Michel; Goriely, Alain 31 1999 Pulses, fronts and oscillations of an elastic rod. Zbl 0942.74042Lega, Joceline; Goriely, Alain 4 1999 Finite-time blow-up in dynamical systems. Zbl 0946.34074Goriely, Alain; Hyde, Craig 12 1998 Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods. Zbl 0941.74028Goriely, Alain; Tabor, Michael 9 1998 The role of complex-time singularities in chaotic dynamics. Zbl 0982.37023Goriely, A.; Tabor, M. 1 1998 Nonlinear dynamics of filaments. I: Dynamical instabilities. Zbl 0962.74513Goriely, Alain; Tabor, Michael 32 1997 Nonlinear dynamics of filaments. II: Nonlinear analysis. Zbl 0962.74514Goriely, Alain; Tabor, Michael 20 1997 Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052Goriely, A.; Tabor, M. 11 1997 Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations. Zbl 0867.58036Goriely, Alain 51 1996 The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023Goriely, Alain; Tabor, Michael 8 1995 A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506Bountis, T.; Goriely, A.; Kollmann, M. 8 1995 Painlevé analysis and normal forms. Zbl 0797.34040Brenig, L.; Goriely, A. 9 1994 ...and 1 more Documents all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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