Edit Profile Goriely, Alain Compute Distance To: Compute Author ID: 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 all top 5 Fields 74 Mechanics of deformable solids (74-XX) 35 Biology and other natural sciences (92-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 6 Differential geometry (53-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) 2 Fluid mechanics (76-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 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 87 Publications have been cited 977 times in 638 Documents Cited by ▼ Year ▼ Integrability and nonintegrability of dynamical systems. Zbl 1002.34001Goriely, Alain 95 2001 Growth and instability in elastic tissues. Zbl 1120.74336Ben Amar, Martine; Goriely, Alain 69 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. 52 2011 Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations. Zbl 0867.58036Goriely, Alain 49 1996 Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006Yavari, Arash; Goriely, Alain 46 2012 The mathematics and mechanics of biological growth. Zbl 1398.92003Goriely, Alain 40 2017 Nonlinear dynamics of filaments. I: Dynamical instabilities. Zbl 0962.74513Goriely, Alain; Tabor, Michael 34 1997 Helices. Zbl 1160.74373Chouaieb, Nadia; Goriely, Alain; Maddocks, John H. 33 2006 Towards a classification of Euler-Kirchhoff filaments. Zbl 0965.74031Nizette, Michel; Goriely, Alain 30 1999 A mathematical model of tumor-immune interactions. Zbl 1397.92358Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 28 2012 On the dynamics of elastic strips. Zbl 1053.74026Goriely, A.; Nizette, M.; Tabor, M. 22 2001 Tendril perversion in intrinsically curved rods. Zbl 1100.74575McMillen, T.; Goriely, A. 21 2002 Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046Yavari, Arash; Goriely, Alain 20 2012 Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088Moulton, D. E.; Goriely, A. 20 2011 Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011Mihai, L. Angela; Goriely, Alain 20 2011 Nonlinear Euler buckling. Zbl 1152.74342Goriely, Alain; Vandiver, Rebecca; Destrade, Michel 20 2008 Nonlinear dynamics of filaments. II: Nonlinear analysis. Zbl 0962.74514Goriely, Alain; Tabor, Michael 20 1997 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 On the mechanical stability of growing arteries. Zbl 1425.74324Goriely, Alain; Vandiver, Rebecca 14 2010 Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047Yavari, Arash; Goriely, Alain 13 2013 Finite-time blow-up in dynamical systems. Zbl 0946.34074Goriely, Alain; Hyde, Craig 12 1998 Mechanical growth and morphogenesis of seashells. Zbl 1337.92024Moulton, D. E.; Goriely, A.; Chirat, R. 11 2012 Instabilities in elastomers and in soft tissues. Zbl 1107.74018Goriely, A.; Destrade, M.; Ben Amar, M. 11 2006 Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052Goriely, A.; Tabor, M. 11 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 10 2017 Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210Goriely, Alain; Tabor, Michael 10 2013 Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034Goriely, Alain 10 2006 Painlevé analysis and normal forms. Zbl 0797.34040Brenig, L.; Goriely, A. 10 1994 Elastic growth models. Zbl 1382.92184Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca 9 2008 Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods. Zbl 0941.74028Goriely, Alain; Tabor, Michael 9 1998 The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023Goriely, Alain; Tabor, Michael 9 1995 Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 8 2018 A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash 8 2016 The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023Yavari, Arash; Goriely, Alain 8 2014 Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070Vandiver, Rebecca; Goriely, Alain 8 2009 A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506Bountis, T.; Goriely, A.; Kollmann, M. 8 1995 Investigation of Painlevé property under time singularities transformations. Zbl 0760.34010Goriely, Alain 8 1992 Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065McMahon, Joseph; Goriely, Alain; Tabor, Michael 7 2010 Singularity confinement and algebraic integrability. Zbl 1070.37039Lafortune, S.; Goriely, A. 7 2004 A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031Goriely, A. 7 2000 Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures. Zbl 1371.92030Mihai, L. Angela; Alayyash, Khulud; Goriely, Alain 6 2015 Whip waves. Zbl 1098.74590McMillen, Tyler; Goriely, Alain 6 2003 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 Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007Majumdar, Apala; Prior, Christopher; Goriely, Alain 5 2012 Anticavitation and differential growth in elastic shells. Zbl 1273.74181Moulton, Derek E.; Goriely, Alain 5 2011 Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 4 2019 A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 4 2017 The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048Yavari, Arash; Goriely, Alain 4 2016 Surface growth kinematics via local curve evolution. Zbl 1280.92010Moulton, Derek E.; Goriely, Alain 4 2014 Self-diffusion in remodeling and growth. Zbl 1320.74033Epstein, Marcelo; Goriely, Alain 4 2012 Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142McMahon, 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 1228.74039Destrade, Michel; Goriely, Alain; Saccomandi, Giuseppe 4 2011 The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael 4 2010 Pulses, fronts and oscillations of an elastic rod. Zbl 0942.74042Lega, Joceline; Goriely, Alain 4 1999 Likely cavitation in stochastic elasticity. Zbl 1425.74084Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 3 2019 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196Mihai, 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 1383.49031Lessinnes, Thomas; Goriely, Alain 3 2017 The morpho-mechanical basis of ammonite form. Zbl 1405.92026Moulton, D. E.; Goriely, A.; Chirat, Regis 3 2015 Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143McMahon, Joseph; Goriely, Alain; Tabor, Michael 3 2011 Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035Vandiver, Rebecca; Goriely, Alain 3 2009 Painlevé analysis and normal forms theory. Zbl 0988.34076Goriely, Alain 3 2001 Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain 2 2017 Bulging brains. Zbl 1373.74076Weickenmeier, 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 1346.74051Mihai, L. Angela; Goriely, Alain 2 2016 On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154Yavari, Arash; Goriely, Alain 2 2015 Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237Mihai, L. Angela; Goriely, Alain 2 2014 The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017Hall, Cameron L.; Vella, Dominic; Goriely, Alain 2 2013 Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions. Zbl 1273.74104De Pascalis, Riccardo; Destrade, Michel; Goriely, Alain 2 2011 Knotted umbilical cords. Zbl 1092.92025Goriely, Alain 2 2005 Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014Goriely, Alain; Károlyi, György; Tabor, Michael 2 2005 Kovalevskaya rods and Kovalevskaya waves. Zbl 0947.74028Goriely, A.; Nizette, M. 2 2000 Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 1 2020 Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain 1 2019 Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013Erlich, Alexander; Moulton, Derek E.; Goriely, Alain 1 2019 Mechanical feedback in seashell growth and form. Zbl 1395.92019Erlich, A.; Howell, R.; Goriely, A.; Chirat, R.; Moulton, D. E. 1 2018 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 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 The elastic secrets of the chameleon tongue. Zbl 1371.92031Moulton, 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 1343.92140Woolley, 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 1325.74020Yavari, Arash; Goriely, Alain 1 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 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 1 2014 Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062Majumdar, Apala; Goriely, Alain 1 2013 The dynamics of stretchable rods in the inertial case. Zbl 1138.74357Lafortune, Stéphane; Goriely, Alain; Tabor, Michael 1 2006 The role of complex-time singularities in chaotic dynamics. Zbl 0982.37023Goriely, A.; Tabor, M. 1 1998 Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 1 2020 Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 4 2019 Likely cavitation in stochastic elasticity. Zbl 1425.74084Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 3 2019 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 3 2019 Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain 1 2019 Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013Erlich, Alexander; Moulton, Derek E.; Goriely, Alain 1 2019 Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 8 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 40 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 10 2017 A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 4 2017 Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031Lessinnes, Thomas; Goriely, Alain 3 2017 Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain 2 2017 Bulging brains. Zbl 1373.74076Weickenmeier, 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 1404.74134Mihai, 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 A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash 8 2016 The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048Yavari, Arash; Goriely, Alain 4 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 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 The elastic secrets of the chameleon tongue. Zbl 1371.92031Moulton, 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 1371.92030Mihai, 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 2 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 Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020Yavari, Arash; Goriely, Alain 1 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 The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023Yavari, Arash; Goriely, Alain 8 2014 Surface growth kinematics via local curve evolution. Zbl 1280.92010Moulton, Derek E.; Goriely, Alain 4 2014 Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237Mihai, L. Angela; Goriely, Alain 2 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 1 2014 Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047Yavari, Arash; Goriely, Alain 13 2013 Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210Goriely, Alain; Tabor, Michael 10 2013 The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017Hall, 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 1284.74062Majumdar, Apala; Goriely, Alain 1 2013 Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006Yavari, Arash; Goriely, Alain 46 2012 A mathematical model of tumor-immune interactions. Zbl 1397.92358Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 28 2012 Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046Yavari, Arash; Goriely, Alain 20 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 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. 52 2011 Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088Moulton, D. E.; Goriely, A. 20 2011 Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011Mihai, L. Angela; Goriely, Alain 20 2011 Anticavitation and differential growth in elastic shells. Zbl 1273.74181Moulton, Derek E.; Goriely, Alain 5 2011 Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142McMahon, 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 1228.74039Destrade, Michel; Goriely, Alain; Saccomandi, Giuseppe 4 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 14 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 4 2010 Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070Vandiver, Rebecca; Goriely, Alain 8 2009 Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035Vandiver, Rebecca; Goriely, Alain 3 2009 Nonlinear Euler buckling. Zbl 1152.74342Goriely, Alain; Vandiver, Rebecca; Destrade, Michel 20 2008 Elastic growth models. Zbl 1382.92184Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca 9 2008 Helices. Zbl 1160.74373Chouaieb, Nadia; Goriely, Alain; Maddocks, John H. 33 2006 Instabilities in elastomers and in soft tissues. Zbl 1107.74018Goriely, A.; Destrade, M.; Ben Amar, M. 11 2006 Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034Goriely, Alain 10 2006 The dynamics of stretchable rods in the inertial case. Zbl 1138.74357Lafortune, Stéphane; Goriely, Alain; Tabor, Michael 1 2006 Growth and instability in elastic tissues. Zbl 1120.74336Ben Amar, Martine; Goriely, Alain 69 2005 Knotted umbilical cords. Zbl 1092.92025Goriely, Alain 2 2005 Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014Goriely, Alain; Károlyi, György; Tabor, Michael 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. 21 2002 Integrability and nonintegrability of dynamical systems. Zbl 1002.34001Goriely, Alain 95 2001 On the dynamics of elastic strips. Zbl 1053.74026Goriely, A.; Nizette, M.; Tabor, M. 22 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. 7 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 30 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 34 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 49 1996 The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023Goriely, Alain; Tabor, Michael 9 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. 10 1994 Investigation of Painlevé property under time singularities transformations. Zbl 0760.34010Goriely, Alain 8 1992 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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