## Ogden, Raymond William

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 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
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### 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.
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### 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
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### 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)

### Citations contained in zbMATH Open

171 Publications have been cited 3,725 times in 1,996 Documents Cited by Year
Nonlinear elastic deformations. Zbl 0541.73044
Ogden, R. W.
1984
A new constitutive framework for arterial wall mechanics and a comparative study of material models. Zbl 1023.74033
Holzapfel, Gerhard A.; Gasser, Thomas C.; Ogden, Ray W.
2000
Large deformation isotropic elasticity - on the correlation of theory and experiment for incompressible rubberlike solids. Zbl 0257.73034
Ogden, R. W.
1972
Plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 0938.74014
Steigmann, D. J.; Ogden, R. W.
1997
Elastic surface-substrate interactions. Zbl 0926.74016
Steigmann, D. J.; Ogden, R. W.
1999
Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids. Zbl 0245.73032
Ogden, R. W.
1972
Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060
Holzapfel, Gerhard A.; Ogden, Ray W.
2009
Constitutive modelling of arteries. Zbl 1197.74075
Holzapfel, Gerhard A.; Ogden, Ray W.
2010
Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. Zbl 1349.74057
Merodio, J.; Ogden, R. W.
2005
Fitting hyperelastic models to experimental data. Zbl 1109.74320
Ogden, R. W.; Saccomandi, G.; Sgura, I.
2004
A pseudo-elastic model for the Mullins effect in filled rubber. Zbl 0971.74011
Ogden, R. W.; Roxburgh, D. G.
1999
Nonlinear electroelastic deformations. Zbl 1091.74014
Dorfmann, A.; Ogden, R. W.
2006
Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation. Zbl 1054.74721
Merodio, J.; Ogden, R. W.
2003
On surface waves and deformations in a pre-stressed incompressible elastic solid. Zbl 0706.73018
Dowaikh, M. A.; Ogden, R. W.
1990
A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber. Zbl 1074.74021
Dorfmann, A.; Ogden, R. W.
2004
Nonlinear magnetoelastic deformations of elastomers. Zbl 1064.74066
Dorfmann, A.; Ogden, R. W.
2004
Nonlinear magnetoelastic deformations. Zbl 1089.74020
Dorfmann, A.; Ogden, R. W.
2004
Nonlinear electroelastostatics: a variational framework. Zbl 1161.74022
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2009
Bifurcation of inflated circular cylinders of elastic material under axial loading - II. Exact theory for thick-walled tubes. Zbl 0442.73067
Haughton, D. M.; Ogden, R. W.
1979
Nonlinear theory of electroelastic and magnetoelastic interactions. Zbl 1291.78002
Dorfmann, Luis; Ogden, Ray W.
2014
Nearly isochoric elastic deformations: Application to rubberlike solids. Zbl 0377.73044
Ogden, R. W.
1978
Bifurcation of inflated circular cylinders of elastic material under axial loading - I. Membrane theory for thin-walled tubes. Zbl 0412.73065
Haughton, D. M.; Ogden, R. W.
1979
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Zbl 1213.74123
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2009
On the incremental equations in non-linear elasticity - II. Bifurcation of pressurized spherical shells. Zbl 0401.73077
Haughton, D. M.; Ogden, R. W.
1978
On the overall moduli of non-linear elastic composite materials. Zbl 0293.73003
Ogden, R. W.
1974
Volume changes associated with the deformation of rubber-like solids. Zbl 0356.73041
Ogden, R. W.
1977
Material instabilities in fiber-reinforced nonlinearly elastic solids under plane deformation. Zbl 1064.74013
Merodio, J.; Ogden, R. W.
2002
Nonlinear electroelastostatics: incremental equations and stability. Zbl 1213.74052
Dorfmann, A.; Ogden, R. W.
2010
Extremum principles in non-linear elasticity and their application to composites - I. Zbl 0384.73022
Ogden, R. W.
1978
Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. Zbl 1151.74386
Ogden, R. W.
2003
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2008
Magnetoelastic modelling of elastomers. Zbl 1032.74549
Dorfmann, A.; Ogden, R. W.
2003
Nonlinear stability analysis of pre-stressed elastic bodies. Zbl 1066.74541
Fu, Y. B.; Ogden, R. W.
1999
Interfacial waves and deformations in pre-stressed elastic media. Zbl 0726.73020
Dowaikh, M. A.; Ogden, R. W.
1991
On the definition of elastic moduli. Zbl 0229.73007
1971
A note on strong ellipticity for transversely isotropic linearly elastic solids. Zbl 1056.74006
Merodio, J.; Ogden, R. W.
2003
Initial stresses in elastic solids: constitutive laws and acoustoelasticity. Zbl 1239.74013
Shams, M.; Destrade, M.; Ogden, R. W.
2011
A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008
Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe
2004
Nonlinear elasticity: Theory and applications. Zbl 0962.00003
2001
A theorem of tensor calculus and its application to isotropic elasticity. Zbl 0229.73008
1971
The effect of pre-stress on the vibration and stability of elastic plates. Zbl 0780.73038
Ogden, R. W.; Roxburgh, D. G.
1993
Solution of some finite plane-strain problems for compressible elastic solids. Zbl 0383.73034
Ogden, R. W.; Isherwood, D. A.
1978
The influence of the invariant $$I_8$$ on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids. Zbl 1160.74318
Merodio, J.; Ogden, R. W.
2006
On formulas for the Rayleigh wave speed. Zbl 1163.74454
Vinh, Pham Chi; Ogden, R. W.
2004
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
2009
Electroelastic waves in a finitely deformed electroactive material. Zbl 1202.74043
Dorfmann, A.; Ogden, R. W.
2010
Formulas for the Rayleigh wave speed in orthotropic elastic solids. Zbl 1080.74034
Vinh, Pham Chi; Ogden, R. W.
2004
Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018
Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J.
2008
On azimuthal shear of a circular cylindrical tube of compressible elastic material. Zbl 0947.74006
Jiang, X.; Ogden, R. W.
1998
On worm-like chain models within the three-dimensional continuum mechanics framework. Zbl 1149.74312
Ogden, Ray W.; Saccomandi, Giuseppe; Sgura, Ivonne
2006
Some problems in nonlinear magnetoelasticity. Zbl 1071.74020
Dorfmann, A.; Ogden, R. W.
2005
Elements of the theory of finite elasticity. Zbl 1016.74007
Ogden, R. W.
2001
Elastic deformations of rubberlike solids. Zbl 0491.73045
Ogden, R. W.
1982
On non-uniqueness in the traction boundary-value problem for a compressible elastic solid. Zbl 0551.73043
Ogden, R. W.
1984
On the incremental equations in non-linear elasticity - I. Membrane theory. Zbl 0401.73076
Haughton, D. M.; Ogden, R. W.
1978
On the tension-compression switch in soft fibrous solids. Zbl 1406.74496
Holzapfel, Gerhard A.; Ogden, Ray W.
2015
Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem. Zbl 1143.74018
Gao, D. Y.; Ogden, R. W.
2008
On tensile instabilities and ellipticity loss in fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1192.74082
Merodio, J.; Ogden, R. W.
2005
Stability and vibration of pre-stressed compressible elastic plates. Zbl 0801.73046
Roxburgh, D. G.; Ogden, R. W.
1994
On interfacial waves in pre-stressed layered incompressible elastic solids. Zbl 0846.73012
Ogden, R. W.; Sotiropoulos, D. A.
1995
Instabilities of an electroelastic plate. Zbl 1423.74304
Dorfmann, Luis; Ogden, Ray W.
2014
Extension, inflation and torsion of a residually stressed circular cylindrical tube. Zbl 1348.74052
Merodio, José; Ogden, Ray W.
2016
Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation. Zbl 1153.74032
Gao, D. Y.; Ogden, R. W.
2008
A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Zbl 1123.74016
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2007
Inequalities associated with the inversion of elastic stress-deformation relations and their implications. Zbl 0354.73023
Ogden, R. W.
1977
On anisotropic elasticity and questions concerning its finite element implementation. Zbl 1388.74015
Vergori, Luigi; Destrade, Michel; McGarry, Patrick; Ogden, Ray W.
2013
Dorfmann, A.; Ogden, R. W.
2003
Universal relations in isotropic nonlinear magnetoelasticity. Zbl 1111.74013
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2006
Nonlinear optimization of the material constants in Ogden’s stress- deformation function for incompressible isotropic elastic materials. Zbl 0504.73025
Twizell, E. H.; Ogden, R. W.
1983
On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Zbl 1373.74020
Holzapfel, Gerhard A.; Ogden, Ray W.
2017
Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids. Zbl 1211.74036
Merodio, J.; Ogden, R. W.
2005
Incremental magnetoelastic deformations, with application to surface instability. Zbl 1127.74013
Otténio, M.; Destrade, M.; Ogden, R. W.
2008
The effect of pre-stress on the propagation and reflection of plane waves in incompressible elastic solids. Zbl 0894.73024
Ogden, R. W.; Sotiropoulos, D. A.
1997
On isotropic tensors and elastic moduli. Zbl 0327.73007
Ogden, R. W.
1974
Computational method for excluding fibers under compression in modeling soft fibrous solids. Zbl 1406.74499
Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A.
2016
Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017
Dorfmann, Luis; Ogden, Ray W.
2017
Surface waves supported by thin-film/substrate interactions. Zbl 1128.74021
Steigmann, D. J.; Ogden, R. W.
2007
On magneto-acoustic waves in finitely deformed elastic solids. Zbl 1269.74117
2011
The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer. Zbl 0900.73124
Connor, P.; Ogden, R. W.
1996
On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability. Zbl 1231.74040
Destrade, M.; Murphy, J. G.; Ogden, R. W.
2010
Reflection of plane waves from the boundary of a pre-stressed compressible elastic half-space. Zbl 0930.74031
Ogden, R. W.; Sotiropoulos, D. A.
1998
The effect of shear on the propagation of elastic surface waves. Zbl 0899.73106
Connor, P.; Ogden, R. W.
1995
Local and global bifurcation phenomena in plane-strain finite elasticity. Zbl 0554.73033
Ogden, R. W.
1985
Incremental statics and dynamics of pre-stressed elastic materials. Zbl 1167.74006
Ogden, Ray W.
2007
Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure. Zbl 1169.74411
Zhu, Y.; Luo, X. Y.; Ogden, R. W.
2008
An exponential constitutive model excluding fibres under compression: application to extension-inflation of a residually stressed carotid artery. Zbl 1401.74244
Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A.
2018
A note on variational theorems in non-linear elastostatics. Zbl 0312.73052
Ogden, R. W.
1975
Waves in isotropic elastic materials of Hadamard, Green, or harmonic type. Zbl 0194.27602
Ogden, R. W.
1970
Finite deformations of an electroelastic circular cylindrical tube. Zbl 1354.74024
Melnikov, Andrey; Ogden, Ray W.
2016
Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material. Zbl 1006.74013
Jiang, X.; Ogden, R. W.
2000
Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. Zbl 1062.74021
Ogden, R. W.; Steigmann, D. J.
2002
Universal relations for nonlinear electroelastic solids. Zbl 1111.74014
Bustamante, R.; Ogden, R. W.
2006
A necessary condition for energy-minimizing plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 1001.74525
Steigmann, David J.; Ogden, Raymond W.
1997
Towards the solution of finite plane-strain problems for compressible elastic solids. Zbl 0355.73010
Isherwood, D. A.; Ogden, R. W.
1977
On Rayleigh-type surface waves in an initially stressed incompressible elastic solid. Zbl 1288.74038
Shams, M.; Ogden, R. W.
2014
Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation. Zbl 1082.74004
Merodio, J.; Ogden, R. W.
2005
On the Rayleigh wave speed in orthotropic elastic solids. Zbl 1098.74031
Vinh, Pham Chi; Ogden, R. W.
2005
Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage. Zbl 1006.74539
Dorfmann, A.; Fuller, K. N. G.; Ogden, R. W.
2002
Compressible isotropic elastic solids under finite strain-constitutive inequalities. Zbl 0215.57401
Ogden, R. W.
1970
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. Zbl 1236.74078
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2011
The effect of residual stress on the stability of a circular cylindrical tube. Zbl 07443358
Dorfmann, Luis; Ogden, Ray W.
2021
Stability analysis of charge-controlled soft dielectric plates. Zbl 07205498
Conroy Broderick, Hannah; Righi, Michele; Destrade, Michel; Ogden, Ray W.
2020
Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube. Zbl 1472.78013
Dorfmann, Luis; Ogden, Ray W.
2020
On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156
Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda
2019
Instabilities of soft dielectrics. Zbl 1425.74172
Dorfmann, Luis; Ogden, Ray W.
2019
An exponential constitutive model excluding fibres under compression: application to extension-inflation of a residually stressed carotid artery. Zbl 1401.74244
Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A.
2018
Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field. Zbl 1393.74010
Melnikov, Andrey; Ogden, Ray W.
2018
Multiscale soft tissue mechanics and mechanobiology. State-of-the-art modeling. Zbl 1380.92004
2018
Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube. Zbl 1408.74006
El Hamdaoui, Mustapha; Merodio, José; Ogden, Ray W.
2018
On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Zbl 1373.74020
Holzapfel, Gerhard A.; Ogden, Ray W.
2017
Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017
Dorfmann, Luis; Ogden, Ray W.
2017
Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. Zbl 1406.74497
Holzapfel, Gerhard A.; Ogden, Raymond W.
2017
Biomechanics: trends in modeling and simulation. Zbl 1370.92012
2017
Extension, inflation and torsion of a residually stressed circular cylindrical tube. Zbl 1348.74052
Merodio, José; Ogden, Ray W.
2016
Computational method for excluding fibers under compression in modeling soft fibrous solids. Zbl 1406.74499
Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A.
2016
Finite deformations of an electroelastic circular cylindrical tube. Zbl 1354.74024
Melnikov, Andrey; Ogden, Ray W.
2016
On the tension-compression switch in soft fibrous solids. Zbl 1406.74496
Holzapfel, Gerhard A.; Ogden, Ray W.
2015
Corrigendum to “Instabilities of an electroelastic plate”. Zbl 1423.74306
Dorfmann, Luis; Ogden, Ray W.
2015
Preface to the special issue on “Mechanics of fibre-reinforced materials: theory and applications. II”. Zbl 1360.00139
2015
Nonlinear theory of electroelastic and magnetoelastic interactions. Zbl 1291.78002
Dorfmann, Luis; Ogden, Ray W.
2014
Instabilities of an electroelastic plate. Zbl 1423.74304
Dorfmann, Luis; Ogden, Ray W.
2014
On Rayleigh-type surface waves in an initially stressed incompressible elastic solid. Zbl 1288.74038
Shams, M.; Ogden, R. W.
2014
Straightening: existence, uniqueness and stability. Zbl 1371.74041
Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L.
2014
Nonlinear response of an electroelastic spherical shell. Zbl 1423.74305
Dorfmann, Luis; Ogden, Ray W.
2014
The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid. Zbl 1456.74081
Ogden, Ray W.; Singh, Baljeet
2014
Straightening wrinkles. Zbl 1323.74013
Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L.
2014
Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. Zbl 1432.74073
Steigmann, David J.; Ogden, Ray W.
2014
On anisotropic elasticity and questions concerning its finite element implementation. Zbl 1388.74015
Vergori, Luigi; Destrade, Michel; McGarry, Patrick; Ogden, Ray W.
2013
On stress-dependent elastic moduli and wave speeds. Zbl 1278.74010
2013
Counter-intuitive results in acousto-elasticity. Zbl 1454.74076
Gower, A. L.; Destrade, M.; Ogden, R. W.
2013
Large acoustoelastic effect. Zbl 1360.74045
Abiza, Z.; Destrade, M.; Ogden, R. W.
2012
On Love-type waves in a finitely deformed magnetoelastic layered half-space. Zbl 1254.74014
Saxena, Prashant; Ogden, Ray W.
2012
A note on residual stress, lattice orientation and dislocation density in crystalline solids. Zbl 1253.74016
Steigmann, David J.; Ogden, Ray W.
2012
Initial stresses in elastic solids: constitutive laws and acoustoelasticity. Zbl 1239.74013
Shams, M.; Destrade, M.; Ogden, R. W.
2011
On magneto-acoustic waves in finitely deformed elastic solids. Zbl 1269.74117
2011
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. Zbl 1236.74078
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
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
2011
On the bending and stretching elasticity of biopolymer filaments. Zbl 1293.74025
Holzapfel, Gerhard A.; Ogden, Ray W.
2011
Magnetostatics: from basic principles to nonlinear interactions in deformable media. Zbl 1245.74014
Ogden, Ray W.
2011
Phenomenological modeling of DNA overstretching. Zbl 1362.92009
Ogden, Ray W.; Saccomandi, Giuseppe; Sgura, Ivonne
2011
Constitutive modelling of arteries. Zbl 1197.74075
Holzapfel, Gerhard A.; Ogden, Ray W.
2010
Nonlinear electroelastostatics: incremental equations and stability. Zbl 1213.74052
Dorfmann, A.; Ogden, R. W.
2010
Electroelastic waves in a finitely deformed electroactive material. Zbl 1202.74043
Dorfmann, A.; Ogden, R. W.
2010
On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability. Zbl 1231.74040
Destrade, M.; Murphy, J. G.; Ogden, R. W.
2010
Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material. Zbl 1310.74009
Dorfmann, A.; Merodio, J.; Ogden, R. W.
2010
Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060
Holzapfel, Gerhard A.; Ogden, Ray W.
2009
Nonlinear electroelastostatics: a variational framework. Zbl 1161.74022
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2009
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Zbl 1213.74123
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2009
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
2009
Small amplitude waves and stability for a pre-stressed viscoelastic solid. Zbl 1169.74024
Destrade, Michel; Ogden, Ray W.; Saccomandi, Giuseppe
2009
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2008
Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018
Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J.
2008
Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem. Zbl 1143.74018
Gao, D. Y.; Ogden, R. W.
2008
Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation. Zbl 1153.74032
Gao, D. Y.; Ogden, R. W.
2008
Incremental magnetoelastic deformations, with application to surface instability. Zbl 1127.74013
Otténio, M.; Destrade, M.; Ogden, R. W.
2008
Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure. Zbl 1169.74411
Zhu, Y.; Luo, X. Y.; Ogden, R. W.
2008
A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Zbl 1123.74016
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2007
Surface waves supported by thin-film/substrate interactions. Zbl 1128.74021
Steigmann, D. J.; Ogden, R. W.
2007
Incremental statics and dynamics of pre-stressed elastic materials. Zbl 1167.74006
Ogden, Ray W.
2007
Computational aspects of Worm-Like-Chain interpolation formulas. Zbl 1190.74018
Ogden, Ray W.; Saccomandi, Giuseppe; Sgura, Ivonne
2007
On large bending deformations of transversely isotropic rectangular elastic blocks. Zbl 1195.74013
Kassianidis, Fotios; Ogden, Raymond W.
2007
Nonlinear electroelastic deformations. Zbl 1091.74014
Dorfmann, A.; Ogden, R. W.
2006
The influence of the invariant $$I_8$$ on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids. Zbl 1160.74318
Merodio, J.; Ogden, R. W.
2006
On worm-like chain models within the three-dimensional continuum mechanics framework. Zbl 1149.74312
Ogden, Ray W.; Saccomandi, Giuseppe; Sgura, Ivonne
2006
Universal relations in isotropic nonlinear magnetoelasticity. Zbl 1111.74013
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2006
Universal relations for nonlinear electroelastic solids. Zbl 1111.74014
Bustamante, R.; Ogden, R. W.
2006
On nonlinear universal relations in nonlinear elasticity. Zbl 1094.74011
Bustamante, R.; Ogden, R. W.
2006
On the null condition for nonlinearly elastic solids. Zbl 1108.74008
Domański, W.; Ogden, R. W.
2006
Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. Zbl 1349.74057
Merodio, J.; Ogden, R. W.
2005
Some problems in nonlinear magnetoelasticity. Zbl 1071.74020
Dorfmann, A.; Ogden, R. W.
2005
On tensile instabilities and ellipticity loss in fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1192.74082
Merodio, J.; Ogden, R. W.
2005
Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids. Zbl 1211.74036
Merodio, J.; Ogden, R. W.
2005
Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation. Zbl 1082.74004
Merodio, J.; Ogden, R. W.
2005
On the Rayleigh wave speed in orthotropic elastic solids. Zbl 1098.74031
Vinh, Pham Chi; Ogden, R. W.
2005
Surface waves in a stretched and sheared incompressible elastic material. Zbl 1349.74202
2005
The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube. Zbl 1119.74379
Dorfmann, A.; Ogden, R. W.; Saccomandi, G.
2005
Heat conduction and controlled deformations in incompressible isotropic elasticity. Zbl 1076.74007
Dunwoody, J.; Ogden, R. W.
2005
Fitting hyperelastic models to experimental data. Zbl 1109.74320
Ogden, R. W.; Saccomandi, G.; Sgura, I.
2004
A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber. Zbl 1074.74021
Dorfmann, A.; Ogden, R. W.
2004
Nonlinear magnetoelastic deformations of elastomers. Zbl 1064.74066
Dorfmann, A.; Ogden, R. W.
2004
Nonlinear magnetoelastic deformations. Zbl 1089.74020
Dorfmann, A.; Ogden, R. W.
2004
A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008
Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe
2004
On formulas for the Rayleigh wave speed. Zbl 1163.74454
Vinh, Pham Chi; Ogden, R. W.
2004
Formulas for the Rayleigh wave speed in orthotropic elastic solids. Zbl 1080.74034
Vinh, Pham Chi; Ogden, R. W.
2004
Universal relations for non-linear magnetoelastic solids. Zbl 1349.74119
Dorfmann, A.; Ogden, R. W.; Saccomandi, G.
2004
Some solutions for a compressible isotropic elastic material. Zbl 1064.74024
Kirkinis, E.; Ogden, R. W.; Haughton, D. M.
2004
Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation. Zbl 1054.74721
Merodio, J.; Ogden, R. W.
2003
Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. Zbl 1151.74386
Ogden, R. W.
2003
Magnetoelastic modelling of elastomers. Zbl 1032.74549
Dorfmann, A.; Ogden, R. W.
2003
A note on strong ellipticity for transversely isotropic linearly elastic solids. Zbl 1056.74006
Merodio, J.; Ogden, R. W.
2003
Dorfmann, A.; Ogden, R. W.
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
2003
On helical shear of a compressible elastic circular cylindrical tube. Zbl 1055.74009
Kirkinis, E.; Ogden, R. W.
2003
Material instabilities in fiber-reinforced nonlinearly elastic solids under plane deformation. Zbl 1064.74013
Merodio, J.; Ogden, R. W.
2002
Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. Zbl 1062.74021
Ogden, R. W.; Steigmann, D. J.
2002
Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage. Zbl 1006.74539
Dorfmann, A.; Fuller, K. N. G.; Ogden, R. W.
2002
On extension and torsion of a compressible elastic circular cylinder. Zbl 1045.74013
Kirkinis, E.; Ogden, R. W.
2002
Vibration of a surface-coated elastic block subject to bending. Zbl 1065.74033
Gei, M.; Ogden, R. W.
2002
On the thermodynamic stability of elastic heat-conducting solids subject to a deformation-temperature constraint. Zbl 1066.74005
Dunwoody, J.; Ogden, R. W.
2002
Nonlinear stability analysis of pre-stressed elastic bodies. Zbl 1213.74053
Fu, Y. B.; Ogden, R. W.
2002
...and 71 more Documents
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
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### 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
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### 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)

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