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
10 - Nonlinear Static and Dynamic Response of Rectangular Plates in Rubber and Biomaterial
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
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- Information
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials , pp. 402 - 416Publisher: Cambridge University PressPrint publication year: 2018
References
Breslavsky, I., Amabili, M., Legrand, M. 2014a International Journal of Non-linear Mechanics 58, 30–40. Physically and geometrically non-linear vibrations of thin rectangular plates.CrossRefGoogle Scholar
Breslavsky, I., Amabili, M., Legrand, M. 2014b Journal of Sound and Vibration 333, 4668–4681. Nonlinear vibrations of thin hyperelastic plates.CrossRefGoogle Scholar
Gonçalves, P. B., Soares, R. M., Pamplona, D. 2009 Journal of Sound and Vibration 327, 231–248. Nonlinear vibrations of a radially stretched circular hyperelastic membrane.CrossRefGoogle Scholar
Soares, R. M., Gonçalves, P. B. 2012 International Journal of Solids and Structures 49, 514–526. Nonlinear vibrations and instabilities of a stretched hyperelastic annular membrane.CrossRefGoogle Scholar