Merodio, J. and Ogden, R. (Eds.) (2020) Constitutive Modelling of Solid Continua. Series: Solid mechanics and its applications. Springer: Cham. ISBN 9783030315467

Dorfmann, L. and Ogden, R. W. (2020) Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476(2233), 20190701. (doi: 10.1098/rspa.2019.0701)

Dorfmann, L. and Ogden, R. (2020) Nonlinear constitutive modeling of electroelastic solids. In: Merodio, J. and Ogden, R. (eds.) Constitutive Modelling of Solid Continua. Series: Solid mechanics and its applications (262). Springer: Cham, pp. 155-186. ISBN 9783030315467 (doi: 10.1007/978-3-030-31547-4_6)

Merodio, J. and Ogden, R. (2020) Basic equations of continuum mechanics. In: Merodio, J. and Ogden, R. (eds.) Constitutive Modelling of Solid Continua. Series: Solid mechanics and its applications (262). Springer: Cham, pp. 1-16. ISBN 978-3-030-31546-7 (doi: 10.1007/978-3-030-31547-4_1)

Merodio, J. and Ogden, R. (2020) Finite deformation elasticity theory. In: Merodio, J. and Ogden, R. (eds.) Constitutive Modelling of Solid Continua. Series: Solid mechanics and its applications (262). Springer: Cham, pp. 17-52. ISBN 9783030315467 (doi: 10.1007/978-3-030-31547-4_2)

2019

Sherifova, S., Sommer, G., Viertler, C., Regitnig, P., Caranasos, T., Smith, M. A., Griffith, B. E., Ogden, R. W. and Holzapfel, G. A. (2019) Failure properties and microstructure of healthy and aneurysmatic human thoracic aortas subjected to uniaxial extension with a focus on the media. Acta Biomaterialia, 99, pp. 443-456. (doi: 10.1016/j.actbio.2019.08.038) (PMID:31465883) (PMCID:PMC6851440)

Holzapfel, G., Ogden, R. and Sherifova, S. (2019) On fibre dispersion modelling of soft biological tissues: a review. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 475(2224), 20180736. (doi: 10.1098/rspa.2018.0736) (PMID:31105452) (PMCID:PMC6501667)

Melnik, A. V. , Luo, X. and Ogden, R. W. (2019) A para-universal relation for orthotropic materials. Mechanics Research Communications, 97, pp. 46-51. (doi: 10.1016/j.mechrescom.2019.04.006)

Dorfmann, L. and Ogden, R. W. (2019) Electroelastic plate instabilities based on the Stroh method in terms of the energy function Ω*(F, DL). Mechanics Research Communications, 96, pp. 67-74. (doi: 10.1016/j.mechrescom.2019.03.002)

Zhuan, X., Luo, X. , Gao, H. and Ogden, R. W. (2019) Coupled agent-based and hyperelastic modelling of the left ventricle post-myocardial infarction. International Journal for Numerical Methods in Biomedical Engineering, 35(1), e3155. (doi: 10.1002/cnm.3155) (PMID:30253447) (PMCID:PMC6492033)

2018

Melnik, A. V. , Luo, X. and Ogden, R. W. (2018) A generalised structure tensor model for the mixed invariant I8. International Journal of Non-Linear Mechanics, 107, pp. 137-148. (doi: 10.1016/j.ijnonlinmec.2018.08.018)

Singh, B. and Ogden, R. W. (2018) Reflection of plane waves from the boundary of an incompressible finitely deformed electroactive half-space. Zeitschrift für Angewandte Mathematik und Physik, 69, 149. (doi: 10.1007/s00033-018-1044-4)

Dorfmann, L. and Ogden, R. W. (2018) The effect of deformation dependent permittivity on the elastic response of a finitely deformed dielectric tube. Mechanics Research Communications, 93, pp. 47-57. (doi: 10.1016/j.mechrescom.2017.09.002)

Holzapfel, G. A. and Ogden, R. W. (2018) Biomechanical relevance of the microstructure in artery walls with a focus on passive and active components. American Journal of Physiology: Heart and Circulatory Physiology, 315(3), H540-H549. (doi: 10.1152/ajpheart.00117.2018) (PMID:29799274)

Li, K., Ogden, R. W. and Holzapfel, G. A. (2018) An exponential constitutive model excluding fibers under compression: application to extension-inflation of a residually stressed carotid artery. Mathematics and Mechanics of Solids, 23(8), pp. 1206-1224. (doi: 10.1177/1081286517712077)

Melnikov, A. and Ogden, R. W. (2018) Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field. Zeitschrift für Angewandte Mathematik und Physik, 69, 60. (doi: 10.1007/s00033-018-0954-5)

El Hamdaoui, M., Merodio, J. and Ogden, R. W. (2018) Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube. Journal of Engineering Mathematics, 109(1), pp. 31-45. (doi: 10.1007/s10665-017-9904-z)

Li, K., Ogden, R. W. and Holzapfel, G. A. (2018) Modeling of fibrous biological tissues with a general invariant that excludes compressed fibers. Journal of the Mechanics and Physics of Solids, 110, pp. 38-53. (doi: 10.1016/j.jmps.2017.09.005)

Holzapfel, G. and Ogden, R. (Eds.) (2018) Multiscale Soft Tissue Mechanics and Mechanobiology: State-of-the-art Modeling. Springer. ISBN 9789402412185

2017

Holzapfel, G. A. and Ogden, R. W. (2017) On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Journal of Elasticity, 129(1-2), pp. 49-68. (doi: 10.1007/s10659-016-9605-2)

Holzapfel, G. A. and Ogden, R. W. (2017) Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. European Journal of Mechanics - A/Solids, 66, pp. 193-200. (doi: 10.1016/j.euromechsol.2017.07.005)

Dorfmann, L. and Ogden, R. W. (2017) Nonlinear electroelasticity: material properties, continuum theory and applications. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 473(2204), 20170311. (doi: 10.1098/rspa.2017.0311) (PMID:28878564) (PMCID:PMC5582185)

Holzapfel, G. A. and Ogden, R. W. eds. (2017) Biomechanics: Trends in Modeling and Simulation. Series: Studies in Mechanobiology, Tissue Engineering and Biomaterials, 20. Springer. ISBN 9783319414737 (doi: 10.1007/978-3-319-41475-1)

Ogden, R. W. (2017) Nonlinear continuum mechanics and modelling the elasticity of soft biological tissues with a focus on artery walls. In: Holzapfel, G. A. and Ogden, R. W. (eds.) Biomechanics: Trends in Modeling and Simulation. Series: Studies in Mechanobiology, Tissue Engineering and Biomaterials (20). Springer International Publishing, pp. 83-156. ISBN 9783319414737 (doi: 10.1007/978-3-319-41475-1_3)

2016

Melnikov, A. and Ogden, R. W. (2016) Finite deformations of an electroelastic circular cylindrical tube. Zeitschrift für Angewandte Mathematik und Physik, 67, 140. (doi: 10.1007/s00033-016-0733-0)

Ahamed, T., Dorfmann, L. and Ogden, R.W. (2016) Modeling of residually stressed material with application to AAA. Journal of the Mechanical Behavior of Biomedical Materials, 61, pp. 221-234. (doi: 10.1016/j.jmbbm.2016.01.012) (PMID:26874252)

Nam, N.T., Merodio, J., Ogden, R.W. and Vinh, P.C. (2016) The effect of initial stress on the propagation of surface waves in a layered half-space. International Journal of Solids and Structures, 88-89, pp. 88-100. (doi: 10.1016/j.ijsolstr.2016.03.019)

Li, K., Ogden, R. W. and Holzapfel, G. A. (2016) Computational method for excluding fibers under compression in modeling soft fibrous solids. European Journal of Mechanics - A/Solids, 57, pp. 178-193. (doi: 10.1016/j.euromechsol.2015.11.003)

2015

Qi, N., Gao, H. , Ogden, R. W. , Hill, N. A. , Holzapfel, G. A., Han, H. and Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries. Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011) (PMID:26195342)

El Hamdaoui, M., Merodio, J. and Ogden, R. W. (2015) Loss of ellipticity in the combined helical, axial and radial elastic deformations of a fibre-reinforced circular cylindrical tube. International Journal of Solids and Structures, 63, pp. 99-108. (doi: 10.1016/j.ijsolstr.2015.02.043)

Holzapfel, G. A. and Ogden, R. W. (2015) On the tension–compression switch in soft fibrous solids. European Journal of Mechanics - A/Solids, 49, pp. 561-569. (doi: 10.1016/j.euromechsol.2014.09.005)

Ogden, R. , Saccomandi, G. and Wineman, A. (2015) Foreword to the special issue Mechanics of Rubber: In memory of Alan Gent. International Journal of Non-Linear Mechanics, 68, pp. 1-8. (doi: 10.1016/j.ijnonlinmec.2014.08.004)

Dorfmann, L. and Ogden, R. W. eds. (2015) Nonlinear Mechanics of Soft Fibrous Materials. Series: CISM International centre for mechanical sciences courses and lectures, 559. Springer-Verlag Wien. ISBN 9783709118375

Ogden, R. W. (2015) Nonlinear elasticity with application to soft fibre-reinforced materials. In: Dorfmann, L. and Ogden, R. W. (eds.) Nonlinear Mechanics of Soft Fibrous Materials. Series: CISM International centre for mechanical sciences courses and lectures, 559 (559). Springer-Verlag Wien, pp. 1-48. ISBN 9783709118382

2014

Dorfmann, L. and Ogden, R. W. (2014) Nonlinear response of an electroelastic spherical shell. International Journal of Engineering Science, 85, pp. 163-174. (doi: 10.1016/j.ijengsci.2014.09.001)

Ehret, A. E., Ogden, R. W. and Mazza, E. (2014) Non-affine strain measures for continuum models of network materials. Proceedings in Applied Mathematics and Mechanics, 14(1), pp. 435-436. (doi: 10.1002/pamm.201410205)

Nolan, D.R., Gower, A.L., Destrade, M., Ogden, R.W. and McGarry, J.P. (2014) A robust anisotropic hyperelastic formulation for the modelling of soft tissue. Journal of the Mechanical Behavior of Biomedical Materials, 39, pp. 48-60. (doi: 10.1016/j.jmbbm.2014.06.016)

Ogden, R. W. and Singh, B. (2014) The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid. Wave Motion, 51(7), pp. 1108-1126. (doi: 10.1016/j.wavemoti.2014.05.004)

Holzapfel, G. A., Unterberger, M. J. and Ogden, R. W. (2014) An affine continuum mechanical model for cross-linked F-actin networks with compliant linker proteins. Journal of the Mechanical Behavior of Biomedical Materials, 38, pp. 78-90. (doi: 10.1016/j.jmbbm.2014.05.014)

Eremeyev, V. A., Lebedev, L. P. and Ogden, R. W. (2014) Leonid M. Zubov: a life devoted to nonlinear mechanics. International Journal of Engineering Science, 80, pp. 1-3. (doi: 10.1016/j.ijengsci.2014.03.005)

Destrade, M., Ogden, R.W. , Sgura, I. and Vergori, L. (2014) Straightening: existence, uniqueness and stability. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 470(216), p. 20130709. (doi: 10.1098/rspa.2013.0709)

Shams, M. and Ogden, R. (2014) On Rayleigh-type surface waves in an initially stressed incompressible elastic solid. IMA Journal of Applied Mathematics, 79(2), pp. 360-376. (doi: 10.1093/imamat/hxs070)

Destrade, M., Ogden, R.W. , Sgura, I. and Vergori, L. (2014) Straightening wrinkles. Journal of the Mechanics and Physics of Solids, 65, pp. 1-11. (doi: 10.1016/j.jmps.2014.01.001)

Dorfmann, L. and Ogden, R. W. (2014) Instabilities of an electroelastic plate. International Journal of Engineering Science, 77, pp. 79-101. (doi: 10.1016/j.ijengsci.2013.12.007)

Tomar, S.K. and Ogden, R.W. (2014) Two-dimensional wave propagation in a rotating elastic solid with voids. Journal of Sound and Vibration, 333(7), pp. 1945-1952. (doi: 10.1016/j.jsv.2013.11.043)

El Hamdaoui, M., Merodio, J., Ogden, R. W. and Rodriguez, J. (2014) Finite elastic deformations of transversely isotropic circular cylindrical tubes. International Journal of Solids and Structures, 51(5), pp. 1188-1196. (doi: 10.1016/j.ijsolstr.2013.12.019)

Holzapfel, G. and Ogden, R. W. (2014) Letter to the editor Re "Measurement of the uniaxial mechanical properties of healthy and atherosclerotic human coronary arteries". Materials Science and Engineering C: Biomimetic and Supramolecular Systems, 34, pp. 491-492. (doi: 10.1016/j.msec.2013.10.001)

Steigmann, D. J. and Ogden, R.W. (2014) Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity. ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, 94(1-2), pp. 7-20. (doi: 10.1002/zamm.201200160)

Holzapfel, G.A. and Ogden, R.W. (2014) Re ‘How should we measure and report elasticity of aortic tissue? European Journal of Vascular and Endovascular Surgery, 47(1), pp. 110-111. (doi: 10.1016/j.ejvs.2013.10.018)

Dorfmann, L. and Ogden, R. W. (2014) Nonlinear Theory of Electroelastic and Magnetoelastic Interactions. Springer: New York, NY. ISBN 9781461495956 (doi: 10.1007/978-1-4614-9596-3)

Wang, H.M., Luo, X.Y. , Gao, H. , Ogden, R.W. , Griffith, B.E., Berry, C. and Wang, T.J. (2014) A modified Holzapfel-Ogden law for a residually stressed finite strain model of the human left ventricle in diastole. Biomechanics and Modeling in Mechanobiology, 13(1), pp. 99-113. (doi: 10.1007/s10237-013-0488-x) (PMID:23609894) (PMCID:PMC3880672)

2013

Gower, A.L., Destrade, M. and Ogden, R.W.> (2013) Counter-intuitive results in acousto-elasticity. Wave Motion, 50(8), pp. 1218-1228. (doi: 10.1016/j.wavemoti.2013.03.007)

Merodio, J., Ogden, R. W. and Rodrguez, J. (2013) The influence of residual stress on finite deformation elastic response. International Journal of Non-Linear Mechanics, 56, pp. 43-49. (doi: 10.1016/j.ijnonlinmec.2013.02.010)

Destrade, M. and Ogden, R.W. (2013) On stress-dependent elastic moduli and wave speeds. IMA Journal of Applied Mathematics, 78(5), pp. 965-997. (doi: 10.1093/imamat/hxs003)

Bustamante, R. and Ogden, R. W. (2013) Nonlinear magnetoelastostatics: energy functionals and their second variation. Mathematics and Mechanics of Solids, 18(7), pp. 760-772. (doi: 10.1177/1081286512448347)

Holzapfel, G.A. and Ogden, R.W. (2013) Elasticity of biopolymer filaments. Acta Biomaterialia, 9(7), pp. 7320-7325. (doi: 10.1016/j.actbio.2013.03.001)

Li, W.G., Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A.W., Bird, N. and Luo, X.Y. (2013) Anisotropic behaviour of human gallbladder walls. Journal of the Mechanical Behavior of Biomedical Materials, 20, pp. 363-375. (doi: 10.1016/j.jmbbm.2013.02.015)

Wang, H.M., Gao, H. , Luo, X.Y. , Berry, C. , Griffith, B.E., Ogden, R.W. and Wang, T.J. (2013) Structure-based finite strain modelling of the human left ventricle in diastole. International Journal for Numerical Methods in Biomedical Engineering, 29(1), pp. 83-103. (doi: 10.1002/cnm.2497)

Zhu, Y., Luo, X. , Wang, H., Ogden, R. and Berry, C. (2013) Three-dimensional non-linear buckling of thick-walled elastic tubes under pressure. International Journal of Non-Linear Mechanics, 48, pp. 1-14. (doi: 10.1016/j.ijnonlinmec.2012.06.013)

Vergori, L., Destrade, M., McGarry, P. and Ogden, R. (2013) On anisotropic elasticity and questions concerning its finite element implementation. Computational Mechanics, 52(5), pp. 1185-1197. (doi: 10.1007/s00466-013-0871-6)

2012

Saxena, P. and Ogden, R.W. (2012) On Love-type waves in a finitely deformed magnetoelastic layered half-space. Zeitschrift für Angewandte Mathematik und Physik, 63(6), pp. 1177-1200. (doi: 10.1007/s00033-012-0204-1)

Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A.W. and Bird, N. (2012) A quasi-nonlinear analysis of the anisotropic behaviour of human gallbladder wall. Journal of Biomechanical Engineering, 134(10), p. 101009. (doi: 10.1115/1.4007633)

Abiza, Z., Destrade, M. and Ogden, R. (2012) Large acoustoelastic effect. Wave Motion, 49(2), pp. 364-374. (doi: 10.1016/j.wavemoti.2011.12.002)

Steigmann, D.J. and Ogden, R.W. (2012) A note on residual stress, lattice orientation and dislocation density in crystalline solids. Journal of Elasticity, 109(2), pp. 275-283. (doi: 10.1007/s10659-012-9378-1)

2011

Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Tian, T.H., Smythe, A., Majeed, A.W. and Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle. Journal of Muscle Research and Cell Motility, 32(3), pp. 209-220. (doi: 10.1007/s10974-011-9260-y)

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2011) Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. International Journal of Solids and Structures, 48(6), pp. 874-883. (doi: 10.1016/j.ijsolstr.2010.11.021)

Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A. and Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain. Annals of Biomedical Engineering, 39(2), pp. 786-800. (doi: 10.1007/s10439-010-0205-1)

Ogden, R.W. and Steigmann, D.J. (Eds.) (2011) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials. Series: CISM Courses and Lectures Series. Springer: Wien, Austria, pp. 107-152. ISBN 9783709107003

Destrade, M. and Ogden, R.W. (2011) On magnetoacoustic waves in finitely deformed elastic solids. Mathematics and Mechanics of Solids, 16(6), pp. 594-604. (doi: 10.1177/1081286510387695)

Holzapfel, G.A. and Ogden, R.W. (2011) On the bending and stretching elasticity of biopolymer filaments. Journal of Elasticity, 104(1-2), pp. 319-342. (doi: 10.1007/s10659-010-9277-2)

Luo, X. , Li, W., Hill, N. , Ogden, R. and Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall. In: Inverse Problems in Science and Engineering, Cambridge, UK, 12-16 Dec 2011,

Ogden, R.W. (2011) Magnetostatics: from basic principles to nonlinear interactions in deformable media. In: Ogden, R.W. and Steigmann, D.J. (eds.) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials. Series: CISM Courses and Lectures Series (527). Springer: Wien, Austria, pp. 107-152. ISBN 9783709107003

Ogden, R.W. , Saccomandi, G. and Sgura, I. (2011) Phenomenological modeling of DNA overstretching. Journal of Nonlinear Mathematical Physics, 18(Sup. 2), pp. 411-427. (doi: 10.1142/S140292511100160X)

Ogden, R.W. and Singh, B. (2011) Propagation of waves in an incompressible transversely isotropic elastic solid with initial stress: biot revisited. Journal of Mechanics of Materials and Structures, 6(1-4), pp. 453-477. (doi: 10.2140/jomms.2011.6.453)

Saxena, P. and Ogden, R. (2011) On surfaces waves in a finitely deformed magnetoelastic half space. International Journal of Applied Mechanics, 3(4), pp. 633-665. (doi: 10.1142/S1758825111001172)

Shams, M., Destrade, M. and Ogden, R.W. (2011) Initial stresses in elastic solids: constitutive laws and acoustoelasticity. Wave Motion, 48(7), pp. 552-567. (doi: 10.1016/j.wavemoti.2011.04.004)

2010

Destrade, M. and Ogden, R.W. (2010) On the third- and fourth-order constants of incompressible isotropic elasticity. Journal of the Acoustical Society of America, 128(6), pp. 3334-3343. (doi: 10.1121/1.3505102)

Destrade, M., Murphy, J.G. and Ogden, R.W. (2010) On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability. International Journal of Engineering Science, 48(11), pp. 1212-1224. (doi: 10.1016/j.ijengsci.2010.09.011)

Destrade, M., Gilchrist, M.D. and Ogden, R.W. (2010) Third- and fourth-order elasticities of biological soft tissues. Journal of the Acoustical Society of America, 127(4), pp. 2103-2106. (doi: 10.1121/1.3337232)

Dorfmann, A., Merodio, J. and Ogden, R. W. (2010) Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material. Journal of Engineering Mathematics, 68(1), pp. 27-36. (doi: 10.1007/s10665-009-9318-7)

Dorfmann, A. and Ogden, R.W. (2010) Electroelastic waves in a finitely deformed electroactive material. IMA Journal of Applied Mathematics, 75(4), pp. 603-636. (doi: 10.1093/imamat/hxq022)

Dorfmann, A. and Ogden, R.W. (2010) Nonlinear electroelastostatics: Incremental equations and stability. International Journal of Engineering Science, 48(1), pp. 1-14. (doi: 10.1016/j.ijengsci.2008.06.005)

Holzapfel, G. A. and Ogden, R. W. (2010) Modelling the layer-specific three-dimensional residual stresses in arteries, with an application to the human aorta. Journal of the Royal Society: Interface, 7(46), pp. 787-799. (doi: 10.1098/rsif.2009.0357)

Holzapfel, G.A. and Ogden, R.W. (2010) Constitutive modelling of arteries. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 466(2118), pp. 1551-1597. (doi: 10.1098/rspa.2010.0058)

Zhu, Y.F., Luo, X.Y. and Ogden, R.W. (2010) Nonlinear axisymmetric deformations of an elastic tube under external pressure. European Journal of Mechanics - A/Solids, 29(2), pp. 216-229. (doi: 10.1016/j.euromechsol.2009.10.004)

2009

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2009) On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. International Journal of Engineering Science, 47(11-12), pp. 1131-1141. (doi: 10.1016/j.ijengsci.2008.10.010)

Holzapfel, G.A. and Ogden, R.W. (2009) Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367(1902), pp. 3445-3475. (doi: 10.1098/rsta.2009.0091)

Ogden, R.W. (2009) Incremental elastic motions superimposed on a finite deformation in the presence of an electromagnetic field. International Journal of Non-Linear Mechanics, 44(5), pp. 570-580. (doi: 10.1016/j.ijnonlinmec.2008.11.017)

Destrade, M., Ogden, R.W. and Saccomandi, G. (2009) Small amplitude waves and stability for a pre-stressed viscoelastic solid. Zeitschrift für Angewandte Mathematik und Physik, 60(3), pp. 511-528. (doi: 10.1007/s00033-008-7147-6)

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2009) Nonlinear electroelastostatics: a variational framework. Zeitschrift für Angewandte Mathematik und Physik, 60(1), pp. 154-177. (doi: 10.1007/s00033-007-7145-0)

Holzapfel, G.A. and Ogden, R.W. (Eds.) (2009) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Series: CISM courses and lectures. Springer: Vienna, Austria. ISBN 9783211958735

Ciambella, J., Destrade, M. and Ogden, R.W. (2009) On the ABAQUS FEA model of finite viscoelasticity. Rubber Chemistry and Technology, 82(24), pp. 184-193.

Holzapfel, G.A. and Ogden, R.W. (2009) On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Mathematics and Mechanics of Solids, 14, pp. 474-489. (doi: 10.1177/1081286507084411)

Ogden, R.W. (2009) Anisotropy and nonlinear elasticity in arterial wall mechanics. In: Holzapfel, G.A. and Ogden, R.W. (eds.) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Series: CISM courses and lectures series (508). Springer, pp. 179-258. ISBN 9783211958735 (doi: 10.1007/978-3-211-95875-9)

2008

Gao, D.Y. and Ogden, R.W. (2008) Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation. Quarterly Journal of Mechanics and Applied Mathematics, 61(4), pp. 497-522. (doi: 10.1093/qjmam/hbn014)

Zhu, Y., Luo, X.Y. and Ogden, R.W. (2008) Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure. International Journal of Solids and Structures, 45(11-12), pp. 3410-3429. (doi: 10.1016/j.ijsolstr.2008.02.005)

Gao, D.Y. and Ogden, R.W. (2008) Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem. Zeitschrift für Angewandte Mathematik und Physik, 59(3), pp. 498-517. (doi: 10.1007/s00033-007-7047-1)

Ottenio, M., Destrade, M. and Ogden, R.W. (2008) Incremental magnetoelastic deformations, with application to surface instability. Journal of Elasticity, 90(1), pp. 19-42. (doi: 10.1007/s10659-007-9120-6)

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2008) On boundary conditions in nonlinear magneto- and electroelasticity. In: Boukamel, A., Laiarinandrasana, L., Meo, S. and Verron, E. (eds.) Constitutive Models for Rubber V. Series: Balkema-proceedings and monographs in engineering, water, and earth sciences. Taylor & Francis: London, UK, pp. 339-344. ISBN 9780415454421

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2008) On variational formulations in nonlinear magnetoelastostatics. Mathematics and Mechanics of Solids, 13(8), pp. 725-745. (doi: 10.1177/1081286507079832)

Kassianidis, F., Ogden, R.W., Merodio, J. and Pence, T.J. (2008) Azimuthal shear of a transversely isotropic elastic solid. Mathematics and Mechanics of Solids, 13(8), pp. 690-724. (doi: 10.1177/1081286507079830)

2007

Dorfmann, A., Ogden, R.W. and Wineman, A.S. (2007) A three-dimensional non-linear constitutive law for magnetorheological fluids, with applications. International Journal of Non-Linear Mechanics, 42(2), pp. 381-390. (doi: 10.1016/j.ijnonlinmec.2007.03.002)

Ogden, R.W. , Saccomandi, G. and Sgura, I. (2007) Computational aspects of Worm-Like-Chain interpolation formulas. Computers and Mathematics with Applications, 53(2), pp. 276-286. (doi: 10.1016/j.camwa.2006.02.024)

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2007) A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Journal of Engineering Mathematics, 59(1), pp. 139-153. (doi: 10.1007/s10665-006-9088-4)

Holzapfel, G.A., Sommer, G., Auer, M., Regitnig, P. and Ogden, R.W. (2007) Layer-specific 3D residual deformations of human aortas with non-atherosclerotic intimal thickening. Annals of Biomedical Engineering, 35, pp. 530-545. (doi: 10.1007/s10439-006-9252-z)

Kassianidid, F. and Ogden, R. (2007) On large bending deformations of transversely isotropic rectangular elastic blocks. Note di Matematica, 27(2), pp. 131-154. (doi: 10.1285/i15900932v27n2p131)

Ogden, R.W. (2007) Incremental statics and dynamics of pre-stressed elastic materials. In: Destrade, M. and Saccomandi, G. (eds.) Waves in Nonlinear Pre-stressed Materials. Series: CISM courses and lectures (495). Springer, pp. 1-26. ISBN 9783211735718 (doi: 10.1007/978-3-211-73572-5)

Ogden, R.W. and Saccomandi, G. (2007) Introducing mesoscopic information into constitutive equations for arterial walls. Biomechanics and Modeling in Mechanobiology, 6(5), pp. 333-344. (doi: 10.1007/s10237-006-0064-8)

Ottenio, M., Destrade, M. and Ogden, R.W. (2007) Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid. International Journal of Non-Linear Mechanics, 42(2), pp. 310-320. (doi: 10.1016/j.ijnonlinmec.2006.10.001)

Steigmann, D. J. and Ogden, R. W. (2007) Surface waves supported by thin-film/substrate interactions. IMA Journal of Applied Mathematics, 72(6), pp. 730-747. (doi: 10.1093/imamat/hxm018)

2006

Sgura, I., Saccomandi, G. and Ogden, R.W. (2006) On worm-like chain models within the three-dimensional continuum mechanics framework. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 462(2067), pp. 749-768. (doi: 10.1098/rspa.2005.1592)

Holzapfel, G.A. and Ogden, R.W. (Eds.) (2006) Mechanics of Biological Tissue. Springer: Berlin, Germany. ISBN 9783540251941

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2006) Universal relations in isotropic nonlinear magnetoelasticity. Quarterly Journal of Mechanics and Applied Mathematics, 59(3), pp. 435-450. (doi: 10.1093/qjmam/hbl010)

Bustamante, R. and Ogden, R.W. (2006) On nonlinear universal relations in nonlinear elasticity. Zeitschrift für Angewandte Mathematik und Physik, 57(4), pp. 708-721. (doi: 10.1007/s00033-006-0068-3)

Bustamante, R. and Ogden, R.W. (2006) Universal relations for nonlinear electroelastic solids. Acta Mechanica, 182(1-2), pp. 125-140. (doi: 10.1007/s00707-005-0290-7)

Domanski, W. and Ogden, R.W. (2006) On the null condition for nonlinearly elastic solids. Archives of Mechanics, 58(4-5), pp. 339-361.

Dorfmann, A. and Ogden, R.W. (2006) Nonlinear electroelastic deformations. Journal of Elasticity, 82(2), pp. 99-127. (doi: 10.1007/s10659-005-9028-y)

Gasser, T.C., Ogden, R.W. and Holzapfel, G.A. (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. Journal of the Royal Society: Interface, 3(6), pp. 15-35. (doi: 10.1098/rsif.2005.0073)

Guillou, A. and Ogden, R.W. (2006) Growth in soft biological tissue and residual stress development. In: Holzapfel, G.A. and Ogden, R.W. (eds.) Mechanics of Biological Tissue. Springer-Verlag: Berlin, pp. 47-62. ISBN 9783540311843 (doi: 10.1007/3-540-31184-X_4)

Merodio, J. and Ogden, R.W. (2006) The influence of the invariant I8I8 on the stress–deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids. International Journal of Non-Linear Mechanics, 41(4), pp. 556-563. (doi: 10.1016/j.ijnonlinmec.2006.02.001)

Merodio, J. and Ogden, R.W. (2006) On the equivalence of strong ellipticity in the material and spatial settings of finite elasticity. Zeitschrift für Angewandte Mathematik und Physik, 57(6), pp. 1096-1101. (doi: 10.1007/s00033-006-0078-1)

2005

Dorfmann, A. and Ogden, R.W. (2005) Reply to A. Zhong "Discussions on 'A constitutive model for the Mullins effect with permanent set in a particle-reinforced rubber' by A. Dorfmann and R.W. Ogden". International Journal of Solids and Structures, 42(16-17), pp. 4909-4910. (doi: 10.1016/j.ijsolstr.2004.12.001)

Destrade, A. and Ogden, R.W. (2005) Surface waves in a stretched and sheared incompressible elastic material. International Journal of Non-Linear Mechanics, 40, pp. 241-253. (doi: 10.1016/j.ijnonlinmec.2004.05.008)

Dorfmann, A. and Ogden, R.W. (2005) Nonlinear electroelasticity. Acta Mechanica, 174(3-4), pp. 167-183. (doi: 10.1007/s00707-004-0202-2)

Dorfmann, A. and Ogden, R.W. (2005) Some problems in nonlinear magnetoelasticity. Zeitschrift für Angewandte Mathematik und Physik, 56(4), pp. 718-745. (doi: 10.1007/s00033-004-4066-z)

Dorfmann, A., Ogden, R.W. and Saccomandi, G. (2005) The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube. International Journal of Solids and Structures, 42(13), pp. 3700-3715. (doi: 10.1016/j.ijsolstr.2004.11.019)

Dunwoody, J. and Ogden, R.W. (2005) Heat conduction and controlled deformations in incompressible isotropic elasticity. Mathematics and Mechanics of Solids, 10(5), pp. 487-502. (doi: 10.1177/1081286505036416)

Merodio, J. and Ogden, R.W. (2005) Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. International Journal of Non-Linear Mechanics, 40, pp. 213-227. (doi: 10.1016/j.ijnonlinmec.2004.05.003)

Merodio, J. and Ogden, R.W. (2005) On tensile instabilities and ellipticity loss in fiber-reinforced incompressible non-linearly elastic solids. Mechanics Research Communications, 32(3), pp. 290-299. (doi: 10.1016/j.mechrescom.2004.06.008)

Merodio, J. and Ogden, R.W. (2005) Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation. Quarterly of Applied Mathematics, 63, pp. 325-333.

Merodio, J. and Ogden, R.W. (2005) Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids. International Journal of Engineering Science, 43(8-9), pp. 697-706. (doi: 10.1016/j.ijengsci.2005.01.001)

Ogden, R.W. (2005) Mechanics of rubberlike solids. In: Gutkowski, W. and Kowalewski, T.A. (eds.) Mechanics of the 21st Century: Proceedings of the 21st International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, 15-21 August 2004. Springer: Dordrecht, pp. 263-274. ISBN 9781402034565 (doi: 10.1007/1-4020-3559-4_17)

Vinh, P.C. and Ogden, R.W. (2005) On the Rayleigh wave speed in orthotropic elastic solids. Meccanica, 40(2), pp. 147-161. (doi: 10.1007/s11012-005-1603-6)

2004

Horgan, C.O., Ogden, R.W. and Saccomandi, G. (2004) A theory of stress softening of elastomers based on finite chain extensibility. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 460(2046), pp. 1737-1754. (doi: 10.1098/rspa.2003.1248)

Kirkinis, E., Ogden, R.W. and Haughton, D.M. (2004) Some solutions for a compressible isotropic elastic material. Zeitschrift für Angewandte Mathematik und Physik, 55(1), pp. 136-158. (doi: 10.1007/s00033-003-3048-x)

Saccomandi, G. and Ogden, R.W. (Eds.) (2004) Mechanics and Thermomechanics of Rubberlike Solids. Series: CISM Courses and Lectures. Springer: Wien, Austria. ISBN 9783211212516

Dorfmann, A. and Ogden, R.W. (2004) A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber. International Journal of Solids and Structures, 41(7), pp. 1855-1878. (doi: 10.1016/j.ijsolstr.2003.11.014)

Dorfmann, A. and Ogden, R.W. (2004) Nonlinear magnetoelastic deformations. Quarterly Journal of Mechanics and Applied Mathematics, 57(4), pp. 599-622. (doi: 10.1093/qjmam/57.4.599)

Dorfmann, A. and Ogden, R.W. (2004) Nonlinear magnetoelastic deformations of elastomers. Acta Mechanica, 167(1-2), pp. 13-28. (doi: 10.1007/s00707-003-0061-2)

Dorfmann, A., Ogden, R.W. and Saccomandi, G. (2004) Universal relations for non-linear magnetoelastic solids. International Journal of Non-Linear Mechanics, 39(10), pp. 1699-1708. (doi: 10.1016/j.ijnonlinmec.2004.03.002)

Holzapfel, G.A., Gasser, T.C. and Ogden, R.W. (2004) Comparison of a multi-layer structural model for arterial walls with a fung-type model, and issues of material stability. Journal of Biomechanical Engineering, 126(2), pp. 264-275. (doi: 10.1115/1.1695572)

Ogden, R.W. (2004) Elasticity and inelasticity of rubber. In: Saccomandi, G. and Ogden, R.W. (eds.) Mechanics and Thermomechanics of Rubberlike Solids. Series: CISM Courses and Lectures (452). Springer: Wien, Austria, pp. 135-185. ISBN 9783211212516

Ogden, R.W. , Saccomandi, G. and Sgura, I. (2004) Fitting hyperelastic models to experimental data. Computational Mechanics, 34(6), pp. 484-502. (doi: 10.1007/s00466-004-0593-y)

Ogden, R.W. and Vinh, P.C. (2004) On Rayleigh waves in incompressible orthotropic elastic solids. Journal of the Acoustical Society of America, 115(2), pp. 530-533. (doi: 10.1121/1.1636464)

Vinh, P.C. and Ogden, R.W. (2004) Formulas for the Rayleigh wave speed in orthotropic elastic solids. Archives of Mechanics, 56, pp. 247-265.

Vinh, P.C. and Ogden, R.W. (2004) On formulas for the Rayleigh wave speed. Wave Motion, 39, pp. 191-197. (doi: 10.1016/j.wavemoti.2003.08.004)

2003

Kirkinis, E. and Ogden, R.W. (2003) On helical shear of a compressible elastic circular cylindrical tube. Quarterly Journal of Mechanics and Applied Mathematics, 56(1), pp. 105-122. (doi: 10.1093/qjmam/56.1.105)

Holzapfel, G.A. and Ogden, R.W. (Eds.) (2003) Biomechanics of Soft Tissue in Cardiovascular Systems. Series: CISM Courses and Lectures. Springer: Wien, Austria. ISBN 9783211004555

Dorfmann, A. and Ogden, R.W. (2003) Magnetoelastic modelling of elastomers. European Journal of Mechanics - A/Solids, 22(4), pp. 497-507. (doi: 10.1016/S0997-7538(03)00067-6)

Dorfmann, A. and Ogden, R.W. (2003) A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber. International Journal of Solids and Structures, 40(11), pp. 2699-2714. (doi: 10.1016/S0020-7683(03)00089-1)

Merodio, J. and Ogden, R.W. (2003) Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation. International Journal of Solids and Structures, 40, pp. 4707-4727. (doi: 10.1016/S0020-7683(03)00309-3)

Merodio, J. and Ogden, R.W. (2003) A note on strong ellipticity for transversely isotropic linearly elastic solids. Quarterly Journal of Mechanics and Applied Mathematics, 56(4), pp. 589-591. (doi: 10.1093/qjmam/56.4.589)

Ogden, R.W. (2003) Nonlinear Elasticity with Application to Material Modelling. Series: AMAS Lecture Notes, 6. Polish Academy of Sciences: Warsaw, Poland.

Ogden, R.W. (2003) Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. In: Holzapfel, G. and Ogden, R.W. (eds.) Biomechanics of Soft Tissue in Cardiovascular Systems. Series: CISM Courses and Lectures (441). Springer-Verlag: Vienna, pp. 65-108. ISBN 9783211004555

2002

Dunwoody, J. and Ogden, R.W. (2002) On the thermodynamic stability of elastic heat-conducting solids subject to a deformation--temperature constraint. Mathematics and Mechanics of Solids, 7(3), pp. 285-306. (doi: 10.1177/108128602027736)

Dorfmann, A., Fuller, K.N.G. and Ogden, R.W. (2002) Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage. International Journal of Solids and Structures, 39(7), pp. 1845-1861. (doi: 10.1016/S0020-7683(02)00008-2)

Gei, M. and Ogden, R.W. (2002) Vibration of a surface-coated elastic block subject to bending. Mathematics and Mechanics of Solids, 7(6), pp. 607-628. (doi: 10.1177/108128602029657)

Kirkinis, E. and Ogden, R.W. (2002) On extension and torsion of a compressible elastic circular cylinder. Mathematics and Mechanics of Solids, 7(4), pp. 373-392. (doi: 10.1177/108128028476)

Merodio, J. and Ogden, R.W. (2002) Material instabilities in fibre-reinforced nonlinearly elastic solids under plane deformation. Archives of Mechanics, 54(5-6), pp. 525-552.

Ogden, R.W. and Steigmann, D.J. (2002) Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. Journal of the Mechanics and Physics of Solids, 50, pp. 1869-1896. (doi: 10.1016/S0022-5096(02)00006-6)

2001

Hussain, W. and Ogden, R.W. (2001) The effect of pre-strain on the reflection and transmission of plane waves at an elastic interface. International Journal of Engineering Science, 39(8), pp. 929-950. (doi: 10.1016/S0020-7225(00)00076-8)

Ogden, R.W. (2001) Stress softening and residual strain in the azimuthal shear of pseudo-elastic circular cylindrical tube. International Journal of Non-Linear Mechanics, 36, pp. 477-487. (doi: 10.1016/S0020-7462(00)00080-9)

Fu, Y.B. and Ogden, R.W. (Eds.) (2001) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series. Cambridge University Press: Cambridge, UK. ISBN 9780521796958

Ogden, R.W. (2001) Elements of the theory of finite elasticity. In: Fu, Y. and Ogden, R.W. (eds.) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series (283). Cambridge University Press: Cambridge, UK, pp. 1-57. ISBN 9780521796958

Ogden, R.W. (2001) Pseudo-elasticity and stress softening. In: Fu, Y.B. and Ogden, R.W. (eds.) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series (283). Cambridge University Press: Cambridge, UK, pp. 491-522. ISBN 9780521796958

2000

Holzapfel, G.A., Gasser, T.C. and Ogden, R.W. (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity, 61(1-3), pp. 1-48. (doi: 10.1023/A:1010835316564)

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Number of items: 182.

Articles

Dorfmann, L. and Ogden, R. W. (2021) The effect of residual stress on the stability of a circular cylindrical tube. Journal of Engineering Mathematics, 127, 9. (doi: 10.1007/s10665-021-10097-4)

Su, Y., Ogden, R. W. and Destrade, M. (2021) Bending control and stability of functionally graded dielectric elastomers. Extreme Mechanics Letters, 43, 101162. (doi: 10.1016/j.eml.2020.101162)

Ogden, R.W. (2020) Peter Chadwick. 23 March 1931—12 August 2018. Biographical Memoirs of Fellows of the Royal Society, 69, pp. 109-131. (doi: 10.1098/rsbm.2020.0012)