Nonlinear theory of elastic plates /
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| Author / Creator: | Van, Anh Le, author. |
|---|---|
| Imprint: | London, UK : ISTE Press ; Kidlington, Oxford, UK : Elsevier, 2017. |
| Description: | 1 online resource. : illustration |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11274355 |
Table of 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
- 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
- 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
- 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