Some of Ray Ogden's recent publications
Nonlinear axisymmetric deformations of an elastic tube under external pressure (with Y. Zhu and X.Y. Luo), European Journal of Mechanics A/Solids 29 (2010), 216-229.
Nonlinear electroelastostatics: incremental equations and stability (with A. Dorfmann), International Journal of Engineering Science 48 (2010), 1-14.
On the Abaqus FEA model of finite viscoelasticity (with J. Ciambella and M. Destrade), Rubber Chemistry and Technology 82 (2009), 184-193.
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids (with R. Bustamante and A. Dorfmanna), International Journal of Engineering Science 47 (2009), 1131-1141.
Constitutive modelling of passive myocardium. A structurally-based framework for material characterization (with G.A. Holzapfel), Philosophical Transactions of the Royal Society of London A367 (2009), 3445-3475.
On planar biaxial tests for anisotropic nonlinearly elastic solids. A continuum mechanical framework (with G.A. Holzapfel), Mathematics and Mechanics of Solids 14 (2009), 474-489.
Incremental elastic
motions superimposed on a finite deformation in the presence of an
electromagnetic field, International Journal of
Non-Linear Mechanics 44 (2009),
570-580.
Small amplitude
waves and stability for a pre-stressed viscoelastic solid (with M. Destrade
and G. Saccomandi), Zeitschrift für angewandte
Mathematik und Physik
60
(2009),
511-528.
Anisotropy and nonlinear elasticity in arterial wall mechanics, inBiomechanical Modelling at the Molecular, Cellular and Tissue Levels (edited by G.A. Holzapfeland R.W. Ogden), pp. 179-258.CISM Courses and Lectures Series 508, Springer, Wien (2009).
Biomechanical Modelling at the Molecular, Cellular and Tissue Levels (with G. A. Holzapfel), CISM Courses and Lectures Series 508, Springer, Wien (2009).
Nonlinear
electroelastostatics: a variational framework (with R. Bustamante and A.
Dorfmann), Zeitschrift für
angewandte Mathematik und Physik
60
(2009),
154-177.
Multi-solutions to
non-convex variational problems with implications for phase transitions and
numerical computation (with D.Y. Gao), Quarterly
Journal of Mechanics and Applied Mathematics 61 (2008), 497-522.
On variational formulations in nonlinear magnetoelastostatics (with R. Bustamante and A. Dorfmann), Mathematics and Mechanics of Solids 13 (2008), 725-745.
Azimuthal shear of a transversely isotropic elastic solid (with F. Kassianidis, J. Merodio and T.J. Pence), Mathematics and Mechanics of Solids 13 (2008), 690-724.
Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure (with Y. Zhu and X.Y. Luo), International Journal of Solids and Structures 45 (2008), 3410-3429.
Closed-form
solutions, extremality and nonsmoothness criteria in a large deformation
elasticity problem (with D.Y. Gao), Zeitschrift für angewandte
Mathematik und Physik
59
(2008),
498-517.
Incremental magnetoelastic deformations, with application to surface instability (with M. Otténio and M. Destrade), Journal of Elasticity90(2008), 19-42.
On large bending deformations of transversely isotropic rectangular elastic blocks (with F. Kassianidis),Note di Matematica27(2007), 131-154.
Surface waves supported by thin-film/substrate interactions (with D. J. Steigmann), IMA Journal of Applied Mathematics 72 (2007), 730-747.
Incremental statics and dynamics of pre-stressed elastic materials, in Waves in Nonlinear Pre-Stressed Materials (edited by M. Destrade and G. Saccomandi), pp. 1-26. CISM Courses and Lectures Series 495, Springer, Wien (2007).
Introducing mesoscopic information into constitutive equations for arterial walls (with G. Saccomandi), Biomechanics and Modeling in Mechanobiology 6 (2007), 333-344.
A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution (with R. Bustamante and A. Dorfmann), Journal of Engineering Mathematics 59 (2007), 139-153.
Layer-specific residual deformations of human aortas with non-atherosclerotic intimal thickening (with G.A. Holzapfel, G. Sommer, M. Auer and P. Regitnig), Annals of Biomedical Engineering 35 (2007), 530-545.
A three-dimensional non-linear constitutive
law for magnetorheological fluids, with applications (with
Acoustic waves at the interface of a
pre-stressed incompressible elastic solid
Computational aspects of Worm-Like-Chain
interpolation formulas (with
On the equivalence of strong ellipticity in
the material and spatial settings of finite elasticity (with J. Merodio),
Zeitschrift
für angewandte Mathematik und Physik
57
(2006),
1096-1101.
On the null condition for nonlinearly elastic solids
(with W. Domański), Archives of
Mechanics 58 (2006),
339-361.
Universal relations in isotropic nonlinear magnetoelasticity (with R. Bustamante and A. Dorfmann), Quarterly Journal of Mechanics and Applied Mathematics 59 (2006), 435-450.
On nonlinear universal relations in nonlinear
elasticity (with R. Bustamante), Zeitschrift
für angewandte Mathematik und Physik57(2006),
708-721.
The influence of the invariant I8 on the stress-deformation and
ellipticity characteristics of doubly fiber-reinforced non-linearly elastic
solids (with J. Merodio), International Journal of
Non-Linear Mechanics41 (2006), 556-563.
Nonlinear electroelastic deformations (with A. Dorfmann), Journal of Elasticity 82 (2006),
99-127.
Universal relations for nonlinear electroelastic solids (with R. Bustamante),
Acta Mechanica182 (2006),
125-140.
On wormlike chain models within the three-dimensional continuum mechanics
framework (with G. Saccomandi and I. Sgura), Proceedings of the Royal Society of London A
462 (2006), 749-768.
Growth in soft biological tissue and residual stress development (with A.
Guillou), in Mechanics of Biological Tissue
(G.A. Holzapfel and R.W. Ogden, eds), pp. 47-62,Proceedings of the IUTAM Symposium, Graz, Austria,
June-July 2004, Springer
(2006).
Mechanics of Biological
Tissue (with G.A. Holzapfel), Proceedings
of the IUTAM Symposium, Graz, Austria, June-July 2004,Springer (2006).
Hyperelastic
modelling of arterial layers with distributed collagen fibre orientations
(with T.C. Gasser and G.A. Holzapfel), Journal of
the Royal Society Interface 3
(2006),
15-35.
Heat conduction and controlled deformations in incompressible isotropic
elasticity (with J. Dunwoody), Mathematics
and Mechanics of Solids 10
(2005),
487-502.
Mechanics of rubberlike solids, Mechanics of the 21st Century, Proceedings of the 21st
ICTAM, Warsaw, August 2004 (W.
Gutkowski and T.A. Kowalewski, eds), pp. 263-274. Springer, Dordrecht
(2005).
On the Rayleigh wave speed in orthotropic elastic solids (with Pham Chi
Vinh), Meccanica 40 (2005),
147-161.
Remarks on instabilities and ellipticity for a fiber-reinforced compressible
nonlinearly elastic solid under plane deformations (with J. Merodio), Quarterly of Applied Mathematics 63
(2005), 325-333.
Some problems in nonlinear magnetoelasticity (with A. Dorfmann),
Zeitschrift
für angewandte Mathematik und Physik56
(2005), 718-745.
Tensile instabilities and ellipticity in fiber-reinforced compressible
nonlinearly elastic solids (with J. Merodio), International Journal of Engineering Science
43 (2005), 697-706.
Magnetomechanical interactions in magneto-sensitive elastomers (with A.
Dorfmann), Proceedings of the Third European
Conference on Constitutive Models for Rubber, Stockholm, June
2005 (Per-Erik Austrell and Leif Kari, eds), pp. 531-543. Balkema, Rotterdam
(2005).
Nonlinear electroelasticity (with A. Dorfmann), Acta Mechanica 174 (2005),
167-183.
The effect of rotation on the nonlinear magnetoelastic response of a circular
cylindrical tube (with A. Dorfmann and G. Saccomandi), International Journal of Solids and Structures
42 (2005), 3700-3715.
On tensile instabilities and ellipticity loss in
fiber-reinforced incompressible non-linearly elastic solids (with J.
Merodio), Mechanics Research
Communications32
(2005), 290-299.
Surface waves in a stretched and sheared
incompressible isotropic elastic material (with M. Destrade), International Journal of Non-Linear Mechanics
40 (2005), 241-253.
Mechanical response of
fiber-reinforced incompressible nonlinearly elastic solids (with J.
Merodio), International Journal of
Non-Linear Mechanics40 (2005), 213-227.
Nonlinear magnetoelastic deformations (with A.
Dorfmann), Quarterly Journal of Mechanics and Applied Mathematics
57
(2004),
599-622.
Fitting hyperelastic models to experimental data (with
G. Saccomandi and I. Sgura), Computational
Mechanics 34 (2004), 484-502.
Universal relations for non-linear magnetoelastic
solids (with A. Dorfmann and G. Saccomandi),International Journal of Non-Linear Mechanics
39 (2004), 1699-1708.
Formulas for the Rayleigh wave speed in orthotropic
elastic solids (with Pham Chi Vinh),Archives of Mechanics 56 (2004), 247-265.
Comparison of a multi-layer structural model for
arterial walls with a Fung-typemodel, and issues of material stability (with G.A.
Holzapfel and T.C. Gasser), Journal of
Biomechanical Engineering 126
(2004),
264-275.
A theory of stress softening of elastomers based on
finite chain extensibility (with C.O. Horgan and G. Saccomandi), Proceedings of the Royal Society of London A
460 (2004),
1737-1754.
Mechanics and Thermomechanics of Rubberlike Solids
(with G.
Saccomandi),CISM Courses and Lectures Series 452, Springer,
Wien (2004).
Elasticity and inelasticity of rubber, in
Mechanics and
Thermomechanics of Rubberlike Solids (edited by G. Saccomandi and R.W. Ogden), pp.
135-185. CISM Courses and Lectures Series
452, Springer, Wien
(2004).
Some solutions for a compressible isotropic elastic
material (with D.M. Haughton and E. Kirkinis), Zeitschrift für angewandte Mathematik und Physik
55 (2004), 136-158.
A constitutive model for the Mullins effect with
permanent set in particle-reinforced rubber(with A. Dorfmann), International Journal of Solids and Structures
41 (2004),
1855-1878.
On Rayleigh waves in incompressible orthotropic
elastic solids (with Pham Chi Vinh),Journal of the Acoustical Society of America
115 (2004),
530-533.
On formulas for the Rayleigh wave speed (with Pham Chi
Vinh),Wave Motion 39
(2004),
191-197.
Nonlinear magnetoelastic deformations of elastomers
(with A. Dorfmann),Acta Mechanica 167 (2004),
13-28.
A note on strong ellipticity for transversely
isotropic linearly elastic solids (with J. Merodio), Quarterly Journal of Mechanics and Applied Mathematics
56 (2003),
589-591.
Magnetoelastic modelling of elastomers (with A.
Dorfmann),European Journal of Mechanics A/Solids
22 (2003),
497-507.
Instabilities and loss of ellipticity in
fiber-reinforced compressible non-linearly elasticsolids under plane deformation (with J. Merodio),
International Journal of Solids and Structures
40 (2003),
4707-4727.
Nonlinear Elasticity with Application to Material
ModellingCentre of Excellence for Advanced Materials and
Structures, Lecture Notes 6, Institute of Fundamental Technological
Research, Polish Academy of Sciences, Warsaw
(2003).
A pseudo-elastic model for loading, partial unloading
and reloading of particle-reinforced rubber(with A. Dorfmann), International Journal of Solids and Structures
40 (2003),
2699-2714.
Nonlinear elasticity, anisotropy, material stability
and residual stresses in soft tissue, inBiomechanics of Soft Tissue in Cardiovascular
Systems (edited by G.A. Holzapfel
and R.W. Ogden), pp. 65-108. CISM Courses
and Lectures Series 441, Springer, Wien (2003).
Biomechanics of Soft Tissue in Cardiovascular
Systems (with G.A. Holzapfel), CISM Courses and
Lectures Series 441, Springer, Wien (2003).
On helical shear of a compressible elastic circular
cylindrical tube (with E. Kirkinis), Quarterly
Journal of Mechanics and Applied Mathematics 56 (2003), 105-122.
Material instabilities in fiber-reinforced nonlinearly
elastic solids under plane deformation (with J.
Merodio), Archives of Mechanics
54 (2002),
525-552.
Vibration of a surface-coated elastic block subject to
bending (with M. Gei), Mathematics and Mechanics
of Solids 7 (2002),
607-628.
On extension and torsion of a compressible elastic
circular cylinder (with E. Kirkinis), Mathematics
and Mechanics of Solids 7
(2002),
373-392.
Plane strain dynamics of elastic solids with intrinsic
boundary elasticity and application to surface wave propagation (with D.J.
Steigmann), Journal of the Mechanics and Physics
of Solids 50 (2002),
1869-1896.
Shear, compressive and dilatational response in
rubberlike solids subject tocavitation damage (with A. Dorfmann and K.N.G.
Fuller), International Journal of Solids
and Structures 39 (2002),
1845-1861.
Advances in Mechanics and Mathematics
(with D.Y.
Gao),Kluwer Academic Publishers, Dordrecht (2002).
On the thermodynamic stability of elastic
heat-conducting solids subject to a deformation-temperature constraint (with J.
Dunwoody), Mathematics and Mechanics of
Solids 7 (2002),
285-306.
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