Book contents
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- Dedication
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- Copyright page
- Contents
- Preface
- Introduction and Constitutive Equations For Linearly Elastic Materials
- 1 Classical Nonlinear Theories of Elasticity of Plates and Shells
- 2 Classical Nonlinear Theories of Doubly Curved Shells
- 3 Composite, Sandwich and Functionally Graded Materials
- 4 Nonlinear Shell Theory with Thickness Deformation
- 5 Hyperelasticity of Soft Biological and Rubber Materials
- 6 Introduction to Nonlinear Dynamics
- 7 Viscoelasticity and Damping
- 8 Vibrations of Rectangular Plates
- 9 Nonlinear Stability and Vibration of FGM Rectangular Plates under Static and Dynamic Loads
- 10 Nonlinear Static and Dynamic Response of Rectangular Plates in Rubber and Biomaterial
- 11 Vibrations of Isotropic and Laminated Composite Circular Cylindrical Shells
- 12 Effect of Boundary Conditions on Large-Amplitude Vibrations of Circular Cylindrical Shells
- 13 Nonlinear Static and Dynamic Response of a Blood-Filled and Pressurized Human Aorta
- 14 Nonlinear Vibrations and Stability of Doubly Curved Shallow Shells
- 15 Nonlinear Stability of Circular Cylindrical Shells under Static and Dynamic Axial Loads
- Index
- References
5 - Hyperelasticity of Soft Biological and Rubber Materials
Published online by Cambridge University Press: 25 October 2018
Book contents
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- Dedication
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- Copyright page
- Contents
- Preface
- Introduction and Constitutive Equations For Linearly Elastic Materials
- 1 Classical Nonlinear Theories of Elasticity of Plates and Shells
- 2 Classical Nonlinear Theories of Doubly Curved Shells
- 3 Composite, Sandwich and Functionally Graded Materials
- 4 Nonlinear Shell Theory with Thickness Deformation
- 5 Hyperelasticity of Soft Biological and Rubber Materials
- 6 Introduction to Nonlinear Dynamics
- 7 Viscoelasticity and Damping
- 8 Vibrations of Rectangular Plates
- 9 Nonlinear Stability and Vibration of FGM Rectangular Plates under Static and Dynamic Loads
- 10 Nonlinear Static and Dynamic Response of Rectangular Plates in Rubber and Biomaterial
- 11 Vibrations of Isotropic and Laminated Composite Circular Cylindrical Shells
- 12 Effect of Boundary Conditions on Large-Amplitude Vibrations of Circular Cylindrical Shells
- 13 Nonlinear Static and Dynamic Response of a Blood-Filled and Pressurized Human Aorta
- 14 Nonlinear Vibrations and Stability of Doubly Curved Shallow Shells
- 15 Nonlinear Stability of Circular Cylindrical Shells under Static and Dynamic Axial Loads
- Index
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials , pp. 151 - 224Publisher: Cambridge University PressPrint publication year: 2018
References
Bower, A. F. 2009 Applied Mechanics of Solids. CRC Press, Boca Raton, FL, USA.CrossRefGoogle Scholar
Breslavsky, I. D., Amabili, M., Legrand, M. 2014 Journal of Sound and Vibration 333, 4668–4681. Nonlinear vibrations of thin hyperelastic plates.CrossRefGoogle Scholar
Breslavsky, I. D., Amabili, M., Legrand, M. 2016 Journal of Applied Mechanics 83, 051002-1-9. Static and dynamic behaviour of circular cylindrical shell made of hyperelastic arterial material.CrossRefGoogle Scholar
Cardamone, L., Valentín, A., Eberth, J. F., Humphrey, J. D. 2009 Biomechanics and Modeling in Mechanobiology 8, 431–446. Origin of axial prestretch and residual stress in arteries.CrossRefGoogle ScholarPubMed
Chuong, C. J., Fung, Y. C. 1983 Journal of Biomedical Engineering 105, 268–274. Three dimensional stress distribution in arteries.Google ScholarPubMed
Fung, Y. C. 1965 Foundations of Solid Mechanics. Prentice-Hall, Englewood Cliffs, NJ, USA.Google Scholar
Fung, Y. C. 1993 Biomechanics. Mechanical Properties of Living Tissues, 2nd edition. Springer, Berlin, Germany.Google Scholar
Gent, A. N. 1996 Rubber Chemistry and Technology 69, 59–61. A new constitutive relation for rubber.CrossRefGoogle Scholar
Gent, A. N. 2006 Journal of Theoretical Biology 238, 290–302. Determination of material models for arterial walls from uniaxial extension tests and histological structure.Google Scholar
Gent, A. N. 2006 Nonlinear Solid Mechanics, corrected reprinted edition. J. Wiley, Chichester, UK.Google Scholar
Holzapfel, G. A., Gasser, T. C., Ogden, R. W. 2000 Journal of Elasticity 61, 1–48. A new constitutive framework for arterial wall mechanics and a comparative study of material models.CrossRefGoogle Scholar
Holzapfel, G. A., Niestrawska, J. A., Ogden, R. W., Reinisch, A. J., Schriefl, A. J. 2015 Journal of the Royal Society Interface 12, 20150188. Modelling non-symmetric collagen fibre dispersion in arterial walls.CrossRefGoogle ScholarPubMed
Holzapfel, G. A., Ogden, R. W. 2010 Journal of the Royal Society Interface 7 , 787–799. Modelling the layer-specific three-dimensional residual stresses in arteries, with an application to the human aorta.CrossRefGoogle Scholar
Horgan, C. O. 2015 International Journal of Non-linear Mechanics 68, 9–16. The remarkable Gent constitutive model for hyperelastic materials.CrossRefGoogle Scholar
Horny, L., Netusil, M., Vonavkova, T. 2014 Biomechanics and Modeling in Mechanobiology 13, 783–799. Axial prestretch and circumferential distensibility in biomechanics of abdominal aorta.CrossRefGoogle ScholarPubMed
Hosford, W. H. 2010 Mechanical Behavior of Materials, 2nd edition. Cambridge University Press, New York, USA.Google Scholar
Labrosse, M. R., Gerson, E. R., Veinot, J. P., Beller, C. J. 2013 Journal of the Mechanical Behavior of Biomedical Materials 17, 44–55. Mechanical characterization of human aortas from pressurization testing and a paradigm shift for circumferential residual stress.CrossRefGoogle Scholar
Schriefl, A. J., Zeindlinger, G., Pierce, D. M., Regitnig, P., Holzapfel, G. A. 2012 Journal of the Royal Society Interface 9 , 1275–1286. Determination of the layer-specific distributed collagen fibre orientations in human thoracic and abdominal aortas and common iliac arteries.CrossRefGoogle ScholarPubMed
Weisbecker, H., Pierce, D. M., Regitnig, P., Holzapfel, G. A. 2012 Journal of the Mechanical Behavior of Biomedical Materials 12, 93–106. Layer-specific damage experiments and modeling of human thoracic and abdominal aortas with non-atherosclerotic intimal thickening.CrossRefGoogle ScholarPubMed
- 1
- Cited by