Edit Profile (opens in new tab) Ogden, Raymond William Compute Distance To: Compute Author ID: ogden.raymond-w Published as: Ogden, R. W.; Ogden, Ray W.; Ogden, Raymond W.; Ogden, Raymond Homepage: http://www.maths.gla.ac.uk/~rwo/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 187 Publications since 1970, including 3 Books 14 Contributions as Editor Biographic References: 6 Publications Co-Authors: 54 Co-Authors with 139 Joint Publications 913 Co-Co-Authors all top 5 Co-Authors 37 single-authored 18 Merodio, Jose 16 Holzapfel, Gerhard Alfred 13 Destrade, Michel 11 Dorfmann, Luis 10 Steigmann, David J. 9 Bustamante, Roger 9 Saccomandi, Giuseppe 6 Sgura, Ivonne 5 Gao, David Yang 4 Fu, Yibin 4 Haddow, J. B. 4 Isherwood, D. A. 3 Connor, Peter 3 Kirkinis, Eleftherios 3 Roxburgh, David G. 3 Sotiropoulos, Dimitrios A. 3 Vergori, Luigi 3 Vinh, Pham Chi 2 Chadwick, Peter 2 Dowaikh, M. A. 2 Dryburgh, G. 2 Dunwoody, J. 2 Kassianidis, Fotios 2 Lazopoulos, Konstantinos A. 2 Li, Kewei 2 Melnikov, Andrey 2 Singh, Baljeet 2 Soldatos, Kostas P. 1 Abiza, Z. 1 Appleby, P. G. 1 Conroy Broderick, Hannah 1 Duffy, Brian Reginald 1 Eason, George 1 El Hamdaoui, Mustapha 1 Eremeyev, Victor A. 1 Favre, L. 1 Fuller, K. N. G. 1 Gasser, Thomas C. 1 Gei, Massimiliano 1 Gower, Artur L. 1 Horgan, Cornelius Oliver 1 Huang, Ruoyu 1 Kaplunov, Julius D. 1 Lebedev, Leonid Petrovich 1 McGarry, Patrick 1 Murphy, Jeremiah G. 1 Otténio, M. 1 Pence, Thomas J. 1 Penta, Raimondo 1 Righi, Michele 1 Saxena, Prashant 1 Sherifova, Selda 1 Stavroulakis, Georgios E. 1 Twizell, E. H. all top 5 Serials 16 International Journal of Engineering Science 12 Journal of the Mechanics and Physics of Solids 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Journal of Elasticity 12 Mathematics and Mechanics of Solids 11 International Journal of Solids and Structures 10 Quarterly Journal of Mechanics and Applied Mathematics 8 Journal of Engineering Mathematics 7 IMA Journal of Applied Mathematics 6 International Journal of Non-Linear Mechanics 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 European Journal of Mechanics. A. Solids 5 Wave Motion 5 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Archives of Mechanics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Quarterly of Applied Mathematics 3 Mechanics Research Communications 2 Acta Mechanica 2 Archive for Rational Mechanics and Analysis 2 Computational Mechanics 2 Continuum Mechanics and Thermodynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Proceedings of the Cambridge Philosophical Society 2 CISM International Centre for Mechanical Sciences. Courses and Lectures 2 Advances in Mechanics and Mathematics 1 Computers & Mathematics with Applications 1 Journal of the Australian Mathematical Society, Series B 1 Rheologica Acta 1 Glasgow Mathematical Journal 1 Meccanica 1 Note di Matematica 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Nonlinear Mathematical Physics 1 Oberwolfach Reports 1 London Mathematical Society Lecture Note Series 1 Nonconvex Optimization and Its Applications 1 Solid Mechanics and Its Applications 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 193 Mechanics of deformable solids (74-XX) 15 Biology and other natural sciences (92-XX) 14 General and overarching topics; collections (00-XX) 9 Optics, electromagnetic theory (78-XX) 8 Fluid mechanics (76-XX) 5 Partial differential equations (35-XX) 3 History and biography (01-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 171 Publications have been cited 3,725 times in 1,996 Documents Cited by ▼ Year ▼ Nonlinear elastic deformations. Zbl 0541.73044Ogden, R. W. 498 1984 A new constitutive framework for arterial wall mechanics and a comparative study of material models. Zbl 1023.74033Holzapfel, Gerhard A.; Gasser, Thomas C.; Ogden, Ray W. 296 2000 Large deformation isotropic elasticity - on the correlation of theory and experiment for incompressible rubberlike solids. Zbl 0257.73034Ogden, R. W. 226 1972 Plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 0938.74014Steigmann, D. J.; Ogden, R. W. 174 1997 Elastic surface-substrate interactions. Zbl 0926.74016Steigmann, D. J.; Ogden, R. W. 121 1999 Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids. Zbl 0245.73032Ogden, R. W. 97 1972 Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060Holzapfel, Gerhard A.; Ogden, Ray W. 86 2009 Constitutive modelling of arteries. Zbl 1197.74075Holzapfel, Gerhard A.; Ogden, Ray W. 71 2010 Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. Zbl 1349.74057Merodio, J.; Ogden, R. W. 67 2005 Fitting hyperelastic models to experimental data. Zbl 1109.74320Ogden, R. W.; Saccomandi, G.; Sgura, I. 61 2004 A pseudo-elastic model for the Mullins effect in filled rubber. Zbl 0971.74011Ogden, R. W.; Roxburgh, D. G. 58 1999 Nonlinear electroelastic deformations. Zbl 1091.74014Dorfmann, A.; Ogden, R. W. 53 2006 Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation. Zbl 1054.74721Merodio, J.; Ogden, R. W. 46 2003 On surface waves and deformations in a pre-stressed incompressible elastic solid. Zbl 0706.73018Dowaikh, M. A.; Ogden, R. W. 44 1990 A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber. Zbl 1074.74021Dorfmann, A.; Ogden, R. W. 41 2004 Nonlinear magnetoelastic deformations of elastomers. Zbl 1064.74066Dorfmann, A.; Ogden, R. W. 41 2004 Nonlinear magnetoelastic deformations. Zbl 1089.74020Dorfmann, A.; Ogden, R. W. 40 2004 Nonlinear electroelastostatics: a variational framework. Zbl 1161.74022Bustamante, R.; Dorfmann, A.; Ogden, R. W. 38 2009 Bifurcation of inflated circular cylinders of elastic material under axial loading - II. Exact theory for thick-walled tubes. Zbl 0442.73067Haughton, D. M.; Ogden, R. W. 37 1979 Nonlinear theory of electroelastic and magnetoelastic interactions. Zbl 1291.78002Dorfmann, Luis; Ogden, Ray W. 36 2014 Nearly isochoric elastic deformations: Application to rubberlike solids. Zbl 0377.73044Ogden, R. W. 33 1978 Bifurcation of inflated circular cylinders of elastic material under axial loading - I. Membrane theory for thin-walled tubes. Zbl 0412.73065Haughton, D. M.; Ogden, R. W. 33 1979 On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Zbl 1213.74123Bustamante, R.; Dorfmann, A.; Ogden, R. W. 33 2009 On the incremental equations in non-linear elasticity - II. Bifurcation of pressurized spherical shells. Zbl 0401.73077Haughton, D. M.; Ogden, R. W. 32 1978 On the overall moduli of non-linear elastic composite materials. Zbl 0293.73003Ogden, R. W. 31 1974 Volume changes associated with the deformation of rubber-like solids. Zbl 0356.73041Ogden, R. W. 30 1977 Material instabilities in fiber-reinforced nonlinearly elastic solids under plane deformation. Zbl 1064.74013Merodio, J.; Ogden, R. W. 30 2002 Nonlinear electroelastostatics: incremental equations and stability. Zbl 1213.74052Dorfmann, A.; Ogden, R. W. 30 2010 Extremum principles in non-linear elasticity and their application to composites - I. Zbl 0384.73022Ogden, R. W. 29 1978 Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. Zbl 1151.74386Ogden, R. W. 28 2003 On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033Bustamante, R.; Dorfmann, A.; Ogden, R. W. 28 2008 Magnetoelastic modelling of elastomers. Zbl 1032.74549Dorfmann, A.; Ogden, R. W. 27 2003 Nonlinear stability analysis of pre-stressed elastic bodies. Zbl 1066.74541Fu, Y. B.; Ogden, R. W. 26 1999 Interfacial waves and deformations in pre-stressed elastic media. Zbl 0726.73020Dowaikh, M. A.; Ogden, R. W. 26 1991 On the definition of elastic moduli. Zbl 0229.73007Chadwick, P.; Ogden, R. W. 26 1971 A note on strong ellipticity for transversely isotropic linearly elastic solids. Zbl 1056.74006Merodio, J.; Ogden, R. W. 26 2003 Initial stresses in elastic solids: constitutive laws and acoustoelasticity. Zbl 1239.74013Shams, M.; Destrade, M.; Ogden, R. W. 25 2011 A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe 24 2004 Nonlinear elasticity: Theory and applications. Zbl 0962.00003 23 2001 A theorem of tensor calculus and its application to isotropic elasticity. Zbl 0229.73008Chadwick, P.; Ogden, R. W. 23 1971 The effect of pre-stress on the vibration and stability of elastic plates. Zbl 0780.73038Ogden, R. W.; Roxburgh, D. G. 22 1993 Solution of some finite plane-strain problems for compressible elastic solids. Zbl 0383.73034Ogden, R. W.; Isherwood, D. A. 22 1978 The influence of the invariant \(I_8\) on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids. Zbl 1160.74318Merodio, J.; Ogden, R. W. 22 2006 On formulas for the Rayleigh wave speed. Zbl 1163.74454Vinh, Pham Chi; Ogden, R. W. 22 2004 On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019Holzapfel, Gerhard A.; Ogden, Ray W. 22 2009 Electroelastic waves in a finitely deformed electroactive material. Zbl 1202.74043Dorfmann, A.; Ogden, R. W. 20 2010 Formulas for the Rayleigh wave speed in orthotropic elastic solids. Zbl 1080.74034Vinh, Pham Chi; Ogden, R. W. 20 2004 Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J. 20 2008 On azimuthal shear of a circular cylindrical tube of compressible elastic material. Zbl 0947.74006Jiang, X.; Ogden, R. W. 19 1998 On worm-like chain models within the three-dimensional continuum mechanics framework. Zbl 1149.74312Ogden, Ray W.; Saccomandi, Giuseppe; Sgura, Ivonne 19 2006 Some problems in nonlinear magnetoelasticity. Zbl 1071.74020Dorfmann, A.; Ogden, R. W. 18 2005 Elements of the theory of finite elasticity. Zbl 1016.74007Ogden, R. W. 17 2001 Elastic deformations of rubberlike solids. Zbl 0491.73045Ogden, R. W. 17 1982 On non-uniqueness in the traction boundary-value problem for a compressible elastic solid. Zbl 0551.73043Ogden, R. W. 17 1984 On the incremental equations in non-linear elasticity - I. Membrane theory. Zbl 0401.73076Haughton, D. M.; Ogden, R. W. 17 1978 On the tension-compression switch in soft fibrous solids. Zbl 1406.74496Holzapfel, Gerhard A.; Ogden, Ray W. 17 2015 Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem. Zbl 1143.74018Gao, D. Y.; Ogden, R. W. 17 2008 On tensile instabilities and ellipticity loss in fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1192.74082Merodio, J.; Ogden, R. W. 16 2005 Stability and vibration of pre-stressed compressible elastic plates. Zbl 0801.73046Roxburgh, D. G.; Ogden, R. W. 15 1994 On interfacial waves in pre-stressed layered incompressible elastic solids. Zbl 0846.73012Ogden, R. W.; Sotiropoulos, D. A. 15 1995 Instabilities of an electroelastic plate. Zbl 1423.74304Dorfmann, Luis; Ogden, Ray W. 15 2014 Extension, inflation and torsion of a residually stressed circular cylindrical tube. Zbl 1348.74052Merodio, José; Ogden, Ray W. 15 2016 Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation. Zbl 1153.74032Gao, D. Y.; Ogden, R. W. 15 2008 A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Zbl 1123.74016Bustamante, R.; Dorfmann, A.; Ogden, R. W. 15 2007 Inequalities associated with the inversion of elastic stress-deformation relations and their implications. Zbl 0354.73023Ogden, R. W. 14 1977 On anisotropic elasticity and questions concerning its finite element implementation. Zbl 1388.74015Vergori, Luigi; Destrade, Michel; McGarry, Patrick; Ogden, Ray W. 14 2013 A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber. Zbl 1051.74521Dorfmann, A.; Ogden, R. W. 14 2003 Universal relations in isotropic nonlinear magnetoelasticity. Zbl 1111.74013Bustamante, R.; Dorfmann, A.; Ogden, R. W. 13 2006 Nonlinear optimization of the material constants in Ogden’s stress- deformation function for incompressible isotropic elastic materials. Zbl 0504.73025Twizell, E. H.; Ogden, R. W. 13 1983 On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Zbl 1373.74020Holzapfel, Gerhard A.; Ogden, Ray W. 13 2017 Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids. Zbl 1211.74036Merodio, J.; Ogden, R. W. 12 2005 Incremental magnetoelastic deformations, with application to surface instability. Zbl 1127.74013Otténio, M.; Destrade, M.; Ogden, R. W. 12 2008 The effect of pre-stress on the propagation and reflection of plane waves in incompressible elastic solids. Zbl 0894.73024Ogden, R. W.; Sotiropoulos, D. A. 11 1997 On isotropic tensors and elastic moduli. Zbl 0327.73007Ogden, R. W. 11 1974 Computational method for excluding fibers under compression in modeling soft fibrous solids. Zbl 1406.74499Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A. 11 2016 Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017Dorfmann, Luis; Ogden, Ray W. 11 2017 Surface waves supported by thin-film/substrate interactions. Zbl 1128.74021Steigmann, D. J.; Ogden, R. W. 11 2007 On magneto-acoustic waves in finitely deformed elastic solids. Zbl 1269.74117Destrade, Michel; Ogden, Raymond W. 11 2011 The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer. Zbl 0900.73124Connor, P.; Ogden, R. W. 10 1996 On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability. Zbl 1231.74040Destrade, M.; Murphy, J. G.; Ogden, R. W. 10 2010 Reflection of plane waves from the boundary of a pre-stressed compressible elastic half-space. Zbl 0930.74031Ogden, R. W.; Sotiropoulos, D. A. 9 1998 The effect of shear on the propagation of elastic surface waves. Zbl 0899.73106Connor, P.; Ogden, R. W. 9 1995 Local and global bifurcation phenomena in plane-strain finite elasticity. Zbl 0554.73033Ogden, R. W. 9 1985 Incremental statics and dynamics of pre-stressed elastic materials. Zbl 1167.74006Ogden, Ray W. 9 2007 Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure. Zbl 1169.74411Zhu, Y.; Luo, X. Y.; Ogden, R. W. 9 2008 An exponential constitutive model excluding fibres under compression: application to extension-inflation of a residually stressed carotid artery. Zbl 1401.74244Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A. 9 2018 A note on variational theorems in non-linear elastostatics. Zbl 0312.73052Ogden, R. W. 9 1975 Waves in isotropic elastic materials of Hadamard, Green, or harmonic type. Zbl 0194.27602Ogden, R. W. 9 1970 Finite deformations of an electroelastic circular cylindrical tube. Zbl 1354.74024Melnikov, Andrey; Ogden, Ray W. 9 2016 Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material. Zbl 1006.74013Jiang, X.; Ogden, R. W. 8 2000 Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. Zbl 1062.74021Ogden, R. W.; Steigmann, D. J. 8 2002 Universal relations for nonlinear electroelastic solids. Zbl 1111.74014Bustamante, R.; Ogden, R. W. 8 2006 A necessary condition for energy-minimizing plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 1001.74525Steigmann, David J.; Ogden, Raymond W. 8 1997 Towards the solution of finite plane-strain problems for compressible elastic solids. Zbl 0355.73010Isherwood, D. A.; Ogden, R. W. 8 1977 On Rayleigh-type surface waves in an initially stressed incompressible elastic solid. Zbl 1288.74038Shams, M.; Ogden, R. W. 8 2014 Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation. Zbl 1082.74004Merodio, J.; Ogden, R. W. 8 2005 On the Rayleigh wave speed in orthotropic elastic solids. Zbl 1098.74031Vinh, Pham Chi; Ogden, R. W. 8 2005 Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage. Zbl 1006.74539Dorfmann, A.; Fuller, K. N. G.; Ogden, R. W. 8 2002 Compressible isotropic elastic solids under finite strain-constitutive inequalities. Zbl 0215.57401Ogden, R. W. 8 1970 Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. Zbl 1236.74078Bustamante, R.; Dorfmann, A.; Ogden, R. W. 8 2011 The effect of residual stress on the stability of a circular cylindrical tube. Zbl 07443358Dorfmann, Luis; Ogden, Ray W. 1 2021 Stability analysis of charge-controlled soft dielectric plates. Zbl 07205498Conroy Broderick, Hannah; Righi, Michele; Destrade, Michel; Ogden, Ray W. 5 2020 Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube. Zbl 1472.78013Dorfmann, Luis; Ogden, Ray W. 2 2020 On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda 7 2019 Instabilities of soft dielectrics. Zbl 1425.74172Dorfmann, Luis; Ogden, Ray W. 5 2019 An exponential constitutive model excluding fibres under compression: application to extension-inflation of a residually stressed carotid artery. Zbl 1401.74244Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A. 9 2018 Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field. Zbl 1393.74010Melnikov, Andrey; Ogden, Ray W. 4 2018 Multiscale soft tissue mechanics and mechanobiology. State-of-the-art modeling. Zbl 1380.92004 1 2018 Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube. Zbl 1408.74006El Hamdaoui, Mustapha; Merodio, José; Ogden, Ray W. 1 2018 On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Zbl 1373.74020Holzapfel, Gerhard A.; Ogden, Ray W. 13 2017 Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017Dorfmann, Luis; Ogden, Ray W. 11 2017 Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. Zbl 1406.74497Holzapfel, Gerhard A.; Ogden, Raymond W. 4 2017 Biomechanics: trends in modeling and simulation. Zbl 1370.92012 1 2017 Extension, inflation and torsion of a residually stressed circular cylindrical tube. Zbl 1348.74052Merodio, José; Ogden, Ray W. 15 2016 Computational method for excluding fibers under compression in modeling soft fibrous solids. Zbl 1406.74499Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A. 11 2016 Finite deformations of an electroelastic circular cylindrical tube. Zbl 1354.74024Melnikov, Andrey; Ogden, Ray W. 9 2016 On the tension-compression switch in soft fibrous solids. Zbl 1406.74496Holzapfel, Gerhard A.; Ogden, Ray W. 17 2015 Corrigendum to “Instabilities of an electroelastic plate”. Zbl 1423.74306Dorfmann, Luis; Ogden, Ray W. 1 2015 Preface to the special issue on “Mechanics of fibre-reinforced materials: theory and applications. II”. Zbl 1360.00139 1 2015 Nonlinear theory of electroelastic and magnetoelastic interactions. Zbl 1291.78002Dorfmann, Luis; Ogden, Ray W. 36 2014 Instabilities of an electroelastic plate. Zbl 1423.74304Dorfmann, Luis; Ogden, Ray W. 15 2014 On Rayleigh-type surface waves in an initially stressed incompressible elastic solid. Zbl 1288.74038Shams, M.; Ogden, R. W. 8 2014 Straightening: existence, uniqueness and stability. Zbl 1371.74041Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L. 7 2014 Nonlinear response of an electroelastic spherical shell. Zbl 1423.74305Dorfmann, Luis; Ogden, Ray W. 5 2014 The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid. Zbl 1456.74081Ogden, Ray W.; Singh, Baljeet 5 2014 Straightening wrinkles. Zbl 1323.74013Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L. 5 2014 Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. Zbl 1432.74073Steigmann, David J.; Ogden, Ray W. 4 2014 On anisotropic elasticity and questions concerning its finite element implementation. Zbl 1388.74015Vergori, Luigi; Destrade, Michel; McGarry, Patrick; Ogden, Ray W. 14 2013 On stress-dependent elastic moduli and wave speeds. Zbl 1278.74010Destrade, M.; Ogden, R. W. 4 2013 Counter-intuitive results in acousto-elasticity. Zbl 1454.74076Gower, A. L.; Destrade, M.; Ogden, R. W. 2 2013 Large acoustoelastic effect. Zbl 1360.74045Abiza, Z.; Destrade, M.; Ogden, R. W. 6 2012 On Love-type waves in a finitely deformed magnetoelastic layered half-space. Zbl 1254.74014Saxena, Prashant; Ogden, Ray W. 4 2012 A note on residual stress, lattice orientation and dislocation density in crystalline solids. Zbl 1253.74016Steigmann, David J.; Ogden, Ray W. 3 2012 Initial stresses in elastic solids: constitutive laws and acoustoelasticity. Zbl 1239.74013Shams, M.; Destrade, M.; Ogden, R. W. 25 2011 On magneto-acoustic waves in finitely deformed elastic solids. Zbl 1269.74117Destrade, Michel; Ogden, Raymond W. 11 2011 Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. Zbl 1236.74078Bustamante, R.; Dorfmann, A.; Ogden, R. W. 8 2011 Mechanics and electrodynamics of magneto- and electro-elastic materials. Papers based on the presentations at the advanced school, Udine, Italy, June 29 to July 3, 2009. Zbl 1209.74005 7 2011 On the bending and stretching elasticity of biopolymer filaments. Zbl 1293.74025Holzapfel, Gerhard A.; Ogden, Ray W. 5 2011 Magnetostatics: from basic principles to nonlinear interactions in deformable media. Zbl 1245.74014Ogden, Ray W. 1 2011 Phenomenological modeling of DNA overstretching. Zbl 1362.92009Ogden, Ray W.; Saccomandi, Giuseppe; Sgura, Ivonne 1 2011 Constitutive modelling of arteries. Zbl 1197.74075Holzapfel, Gerhard A.; Ogden, Ray W. 71 2010 Nonlinear electroelastostatics: incremental equations and stability. Zbl 1213.74052Dorfmann, A.; Ogden, R. W. 30 2010 Electroelastic waves in a finitely deformed electroactive material. Zbl 1202.74043Dorfmann, A.; Ogden, R. W. 20 2010 On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability. Zbl 1231.74040Destrade, M.; Murphy, J. G.; Ogden, R. W. 10 2010 Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material. Zbl 1310.74009Dorfmann, A.; Merodio, J.; Ogden, R. W. 7 2010 Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060Holzapfel, Gerhard A.; Ogden, Ray W. 86 2009 Nonlinear electroelastostatics: a variational framework. Zbl 1161.74022Bustamante, R.; Dorfmann, A.; Ogden, R. W. 38 2009 On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Zbl 1213.74123Bustamante, R.; Dorfmann, A.; Ogden, R. W. 33 2009 On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019Holzapfel, Gerhard A.; Ogden, Ray W. 22 2009 Small amplitude waves and stability for a pre-stressed viscoelastic solid. Zbl 1169.74024Destrade, Michel; Ogden, Ray W.; Saccomandi, Giuseppe 6 2009 On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033Bustamante, R.; Dorfmann, A.; Ogden, R. W. 28 2008 Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J. 20 2008 Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem. Zbl 1143.74018Gao, D. Y.; Ogden, R. W. 17 2008 Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation. Zbl 1153.74032Gao, D. Y.; Ogden, R. W. 15 2008 Incremental magnetoelastic deformations, with application to surface instability. Zbl 1127.74013Otténio, M.; Destrade, M.; Ogden, R. W. 12 2008 Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure. Zbl 1169.74411Zhu, Y.; Luo, X. Y.; Ogden, R. W. 9 2008 A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Zbl 1123.74016Bustamante, R.; Dorfmann, A.; Ogden, R. W. 15 2007 Surface waves supported by thin-film/substrate interactions. Zbl 1128.74021Steigmann, D. J.; Ogden, R. W. 11 2007 Incremental statics and dynamics of pre-stressed elastic materials. Zbl 1167.74006Ogden, Ray W. 9 2007 Computational aspects of Worm-Like-Chain interpolation formulas. Zbl 1190.74018Ogden, Ray W.; Saccomandi, Giuseppe; Sgura, Ivonne 4 2007 On large bending deformations of transversely isotropic rectangular elastic blocks. Zbl 1195.74013Kassianidis, Fotios; Ogden, Raymond W. 1 2007 Nonlinear electroelastic deformations. Zbl 1091.74014Dorfmann, A.; Ogden, R. W. 53 2006 The influence of the invariant \(I_8\) on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids. Zbl 1160.74318Merodio, J.; Ogden, R. W. 22 2006 On worm-like chain models within the three-dimensional continuum mechanics framework. Zbl 1149.74312Ogden, Ray W.; Saccomandi, Giuseppe; Sgura, Ivonne 19 2006 Universal relations in isotropic nonlinear magnetoelasticity. Zbl 1111.74013Bustamante, R.; Dorfmann, A.; Ogden, R. W. 13 2006 Universal relations for nonlinear electroelastic solids. Zbl 1111.74014Bustamante, R.; Ogden, R. W. 8 2006 On nonlinear universal relations in nonlinear elasticity. Zbl 1094.74011Bustamante, R.; Ogden, R. W. 2 2006 On the null condition for nonlinearly elastic solids. Zbl 1108.74008Domański, W.; Ogden, R. W. 1 2006 Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. Zbl 1349.74057Merodio, J.; Ogden, R. W. 67 2005 Some problems in nonlinear magnetoelasticity. Zbl 1071.74020Dorfmann, A.; Ogden, R. W. 18 2005 On tensile instabilities and ellipticity loss in fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1192.74082Merodio, J.; Ogden, R. W. 16 2005 Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids. Zbl 1211.74036Merodio, J.; Ogden, R. W. 12 2005 Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation. Zbl 1082.74004Merodio, J.; Ogden, R. W. 8 2005 On the Rayleigh wave speed in orthotropic elastic solids. Zbl 1098.74031Vinh, Pham Chi; Ogden, R. W. 8 2005 Surface waves in a stretched and sheared incompressible elastic material. Zbl 1349.74202Destrade, M.; Ogden, R. W. 6 2005 The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube. Zbl 1119.74379Dorfmann, A.; Ogden, R. W.; Saccomandi, G. 2 2005 Heat conduction and controlled deformations in incompressible isotropic elasticity. Zbl 1076.74007Dunwoody, J.; Ogden, R. W. 1 2005 Fitting hyperelastic models to experimental data. Zbl 1109.74320Ogden, R. W.; Saccomandi, G.; Sgura, I. 61 2004 A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber. Zbl 1074.74021Dorfmann, A.; Ogden, R. W. 41 2004 Nonlinear magnetoelastic deformations of elastomers. Zbl 1064.74066Dorfmann, A.; Ogden, R. W. 41 2004 Nonlinear magnetoelastic deformations. Zbl 1089.74020Dorfmann, A.; Ogden, R. W. 40 2004 A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe 24 2004 On formulas for the Rayleigh wave speed. Zbl 1163.74454Vinh, Pham Chi; Ogden, R. W. 22 2004 Formulas for the Rayleigh wave speed in orthotropic elastic solids. Zbl 1080.74034Vinh, Pham Chi; Ogden, R. W. 20 2004 Universal relations for non-linear magnetoelastic solids. Zbl 1349.74119Dorfmann, A.; Ogden, R. W.; Saccomandi, G. 5 2004 Some solutions for a compressible isotropic elastic material. Zbl 1064.74024Kirkinis, E.; Ogden, R. W.; Haughton, D. M. 3 2004 Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation. Zbl 1054.74721Merodio, J.; Ogden, R. W. 46 2003 Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. Zbl 1151.74386Ogden, R. W. 28 2003 Magnetoelastic modelling of elastomers. Zbl 1032.74549Dorfmann, A.; Ogden, R. W. 27 2003 A note on strong ellipticity for transversely isotropic linearly elastic solids. Zbl 1056.74006Merodio, J.; Ogden, R. W. 26 2003 A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber. Zbl 1051.74521Dorfmann, A.; Ogden, R. W. 14 2003 Biomechanics of soft tissue in cardiovascular systems. Lecture notes for an advanced school on “Biomechanics of soft tissue”, Udine, Italy, September 10–14, 2001. Zbl 1030.00054 5 2003 On helical shear of a compressible elastic circular cylindrical tube. Zbl 1055.74009Kirkinis, E.; Ogden, R. W. 2 2003 Material instabilities in fiber-reinforced nonlinearly elastic solids under plane deformation. Zbl 1064.74013Merodio, J.; Ogden, R. W. 30 2002 Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. Zbl 1062.74021Ogden, R. W.; Steigmann, D. J. 8 2002 Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage. Zbl 1006.74539Dorfmann, A.; Fuller, K. N. G.; Ogden, R. W. 8 2002 On extension and torsion of a compressible elastic circular cylinder. Zbl 1045.74013Kirkinis, E.; Ogden, R. W. 4 2002 Vibration of a surface-coated elastic block subject to bending. Zbl 1065.74033Gei, M.; Ogden, R. W. 3 2002 On the thermodynamic stability of elastic heat-conducting solids subject to a deformation-temperature constraint. Zbl 1066.74005Dunwoody, J.; Ogden, R. W. 3 2002 Nonlinear stability analysis of pre-stressed elastic bodies. Zbl 1213.74053Fu, Y. B.; Ogden, R. W. 2 2002 ...and 71 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,504 Authors 82 Ogden, Raymond William 43 Holzapfel, Gerhard Alfred 32 Horgan, Cornelius Oliver 32 Murphy, Jeremiah G. 31 Destrade, Michel 30 Saccomandi, Giuseppe 28 Steinmann, Paul 24 Steigmann, David J. 23 Eremeyev, Victor A. 23 Goriely, Alain 22 Bustamante, Roger 22 Merodio, Jose 20 Wriggers, Peter 18 Miehe, Christian 18 Ponte Castañeda, Pedro 17 Gao, David Yang 17 Javili, Ali 17 Kuhl, Ellen 17 Quarteroni, Alfio M. 17 Rajagopal, Kumbakonam Ramamani 17 Schiavone, Peter 16 Lopez-Pamies, Oscar 16 Rogerson, Graham A. 16 Shariff, M. H. B. M. 16 Vinh, Pham Chi 15 Dorfmann, Luis 15 Pence, Thomas J. 14 Bigoni, Davide 14 Dai, Hui-Hui 13 Ciarletta, Pasquale 13 Rubin, Miles B. 12 Doblaré, Manuel 12 Federico, Salvatore 12 Fu, Yibin 12 Göktepe, Serdar 12 Naghdabadi, Reza 11 Gil, Antonio J. 11 Grillo, Alfio 11 Wineman, Alan S. 10 deBotton, Gal 10 Neff, Patrizio 10 Ortigosa, Rogelio 10 Soldatos, Kostas P. 10 Xiao, Heng 9 Demirkoparan, Hasan 9 Ghiba, Ionel-Dumitrel 9 Haddow, J. B. 9 Menzel, Andreas M. 9 Mi, Changwen 9 Peña, Estefanía 9 Ruiz-Baier, Ricardo 9 Schröder, Jörg 8 Beatty, Millard F. jun. 8 Coda, Humberto Breves 8 Dal, Hüsnü 8 Humphrey, Jay D. 8 Il’ichev, Andreĭ Teĭmurazovich 8 Lazopoulos, Konstantinos A. 8 Martínez, Miguel Ángel 8 Mihai, L. Angela 8 Vergori, Luigi 8 Wang, Xu 8 Yavari, Arash 7 Altenbach, Holm 7 Balzani, Daniel 7 Chiriţă, Stan 7 dell’Isola, Francesco 7 Drozdov, Aleksey D. 7 Gei, Massimiliano 7 Gizzi, Alessio 7 Govindjee, Sanjay 7 Itskov, Mikhail 7 Kim, Chun Il 7 Luo, Xiaoyu 7 Mahnken, Rolf 7 Montáns, Francisco-Javier 7 Reddy, B. Dayanand 7 Ren, Jiusheng 7 Rudykh, Stephan 7 Sgura, Ivonne 7 Sivaloganathan, Jeyabal 7 Spector, Scott J. 6 Ambrosi, Davide 6 Ben Amar, Martine 6 Borja, Ronaldo I. 6 Capuani, Domenico 6 Chattopadhyay, Amares 6 Chen, Yichao 6 Dede’, Luca 6 Ehret, Alexander E. 6 Gao, Cun-Fa 6 Hoger, Anne 6 Kaplunov, Julius D. 6 Passarella, Francesca 6 Shabana, Ahmed A. 6 Simo, Juan Carlos 6 Tarantino, Angelo Marcello 6 Triantafyllidis, Nicolas 6 Vergara, Christian 6 Yin, Zhengnan ...and 2,404 more Authors all top 5 Cited in 177 Serials 194 Computer Methods in Applied Mechanics and Engineering 164 International Journal of Engineering Science 158 Journal of Elasticity 156 Journal of the Mechanics and Physics of Solids 156 Mathematics and Mechanics of Solids 118 Acta Mechanica 95 European Journal of Mechanics. A. Solids 70 Computational Mechanics 51 Journal of Engineering Mathematics 48 International Journal of Solids and Structures 46 Wave Motion 45 ZAMP. Zeitschrift für angewandte Mathematik und Physik 40 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 31 International Journal for Numerical Methods in Engineering 31 Continuum Mechanics and Thermodynamics 30 Applied Mathematical Modelling 30 Archive of Applied Mechanics 27 Archive for Rational Mechanics and Analysis 26 Journal of Computational Physics 25 Journal of Theoretical Biology 20 Meccanica 17 Mechanics Research Communications 15 Archives of Computational Methods in Engineering 14 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 13 International Journal for Numerical Methods in Biomedical Engineering 11 Applied Mathematics and Mechanics. (English Edition) 10 Communications in Numerical Methods in Engineering 8 Computers & Mathematics with Applications 8 International Journal of Plasticity 8 Journal of Fluid Mechanics 8 Mathematical Biosciences 8 Mathematical Problems in Engineering 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Acta Mechanica Sinica 7 Journal of Computational and Applied Mathematics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 SIAM Journal on Applied Mathematics 6 Calculus of Variations and Partial Differential Equations 6 Engineering Analysis with Boundary Elements 6 Nonlinear Dynamics 5 Journal of Applied Mathematics and Mechanics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Applied Mathematics and Computation 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Multibody System Dynamics 5 Engineering Computations 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Quarterly of Applied Mathematics 4 Journal of Global Optimization 4 Mathematical Biosciences and Engineering 4 GAMM-Mitteilungen 4 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Archives of Mechanics 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Biology 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Mathematics and Computers in Simulation 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 International Applied Mechanics 3 Journal of Applied Mechanics and Technical Physics 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Science in China. Series G 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computers and Fluids 2 General Relativity and Gravitation 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Physics Letters. A 2 Rheologica Acta 2 Bulletin of Mathematical Biology 2 Soviet Applied Mechanics 2 Journal of Algebra 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Studies in Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Numerical Methods for Partial Differential Equations 2 Computational Mathematics and Mathematical Physics 2 SIAM Journal on Scientific Computing 2 Physics of Fluids 2 Advances in Computational Mathematics 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Journal of Applied Mathematics 2 Analysis and Applications (Singapore) 2 International Journal of Computational Methods 2 International Journal of Geometric Methods in Modern Physics 2 International Journal of Fracture 2 Journal of Industrial and Management Optimization 2 Mathematical Modelling of Natural Phenomena 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 Fluid Dynamics ...and 77 more Serials all top 5 Cited in 38 Fields 1,829 Mechanics of deformable solids (74-XX) 315 Biology and other natural sciences (92-XX) 147 Fluid mechanics (76-XX) 133 Numerical analysis (65-XX) 111 Partial differential equations (35-XX) 50 Statistical mechanics, structure of matter (82-XX) 46 Optics, electromagnetic theory (78-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 18 Mechanics of particles and systems (70-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Integral equations (45-XX) 16 Differential geometry (53-XX) 12 Operations research, mathematical programming (90-XX) 10 Real functions (26-XX) 9 Computer science (68-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Statistics (62-XX) 7 Functions of a complex variable (30-XX) 7 Ordinary differential equations (34-XX) 6 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Operator theory (47-XX) 5 Relativity and gravitational theory (83-XX) 5 Geophysics (86-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 2 Nonassociative rings and algebras (17-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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