| Description |
1 online resource : illustration |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Note |
Online resource; title from PDF title page (EBSCO, viewed June 8, 2017). |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Front Cover; Nonlinear Theory of Elastic Plates; Copyright; Contents; Preface; Why the nonlinear framework?; Synopsis of the book; Chapter 1. Fundamentals of Tensor Theory; 1.1. Tensor algebra; 1.2. Tensor analysis; Chapter 2. Initial Position of a Plate; 2.1. Initial position of the mid-surface of the plate; 2.2. Initial position of the plate; 2.3. Covariant derivative on a surface; 2.4. Divergence theorem; Chapter 3. Cosserat Plate Theory; 3.1. Current position of the plate mid-surface; 3.2. Current position of the plate -- Displacement field; 3.3. Displacement gradient; 3.4. Strain tensor |
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3.5. Velocity field3.6. Principle of Virtual Power (PVP); 3.7. Virtual velocity field; 3.8. Virtual velocity gradient; 3.9. Virtual power of inertia forces; 3.10. Virtual power of internal forces; 3.11. Virtual power of external forces; 3.12. Equations of motion and boundary conditions; 3.13. Static problems; 3.14. Another method to obtain the equations; 3.15. Overview of the equations and unknowns; Chapter 4. Reissner-Mindlin Plate Theory; 4.1. Current position of the plate mid-surface; 4.2. Current position of the plate -- Displacement field; 4.3. Gradient of displacement; 4.4. Strain tensor |
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4.5. Velocity field4.6. Virtual velocity field; 4.7. Virtual power of inertia forces; 4.8. Virtual power of internal forces; 4.9. Virtual power of external forces; 4.10. Equations of motion and boundary conditions; 4.11. Note on couples; 4.12. Static problems; 4.13. Overview of equations and unknowns; Chapter 5. Kirchhoff-Love Plate Theory; 5.1. Current position of the plate mid-surface; 5.2. Current position of the plate -- Displacement field; 5.3. Strain tensor; 5.4. Velocity field; 5.5. Virtual velocity field; 5.6. Virtual powers of inertia forces; 5.7. Virtual power of internal forces |
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6.9. Review of the hypotheses usedChapter 7. Linearized Kirchhoff-Love Plate Theory; 7.1. Statement of the problem; 7.2. Linearization principle; 7.3. Linearization of the vectors of the current natural basis; 7.4. Linearized current curvatures; 7.5. Linearized current Christoffel symbols; 7.6. Linearized strain tensor; 7.7. Linearized integrated constitutive laws; 7.8. Linearized governing equations and boundary conditions -- Vibrations of a pre-stressed plate; 7.9. Overview of the equations and unknowns; 7.10. Displacement equations; 7.11. Equilibrium of a pre-stressed plate |
| Summary |
Provides the theoretical materials necessary for the three plate models--Cosserat plates, Reissner-Mindlin plates and Kirchhoff-Love plates--in the context of finite elastic deformations. One separate chapter is devoted to the linearized theory of Kirchhoff-Love plates, which allows for the study of vibrations of a pre-stressed plate and the static buckling of a plate. All mathematical results in the tensor theory in curvilinear coordinates necessary to investigate the plate theory in finite deformations are provided, making this a self-contained resource.--Provided by publisher. |
| Subject |
Plates (Engineering) -- Vibration -- Mathematical models.
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Cylinders -- Vibration -- Mathematical models.
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Nonlinear oscillations -- Mathematical models.
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Oscillations non linéaires -- Modèles mathématiques.
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TECHNOLOGY & ENGINEERING -- Civil -- General.
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Cylinders -- Vibration -- Mathematical models
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Nonlinear oscillations -- Mathematical models
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Plates (Engineering) -- Vibration -- Mathematical models
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| Other Form: |
Print version: Van, Anh Le. Nonlinear theory of elastic plates. London, UK : ISTE Press ; Kidlington, Oxford, UK : Elsevier, 2017 1785482270 9781785482274 (OCoLC)973806047 |
| ISBN |
9780081023594 (electronic bk.) |
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0081023596 (electronic bk.) |
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9781785482274 |
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1785482270 |
| Standard No. |
AU@ 000060649832 |
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CHVBK 499789776 |
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CHBIS 011069602 |
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GBVCP 892970774 |
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