| Document Type
|
:
|
BL
|
| Record Number
|
:
|
856030
|
| Main Entry
|
:
|
Van, Anh Le
|
| Title & Author
|
:
|
Nonlinear theory of elastic plates /\ Ann Le van.
|
| Publication Statement
|
:
|
London, UK :: ISTE Press ;Kidlington, Oxford, UK :: Elsevier,, 2017.
|
| Page. NO
|
:
|
1 online resource :: illustration
|
| ISBN
|
:
|
0081023596
|
|
|
:
|
: 9780081023594
|
|
|
:
|
1785482270
|
|
|
:
|
9781785482274
|
| Bibliographies/Indexes
|
:
|
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
|
|
|
:
|
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
|
| Subject
|
:
|
Cylinders-- Vibration-- Mathematical models.
|
| Subject
|
:
|
Nonlinear oscillations-- Mathematical models.
|
| Subject
|
:
|
Plates (Engineering)-- Vibration-- Mathematical models.
|
| Subject
|
:
|
Cylinders-- Vibration-- Mathematical models.
|
| Subject
|
:
|
Nonlinear oscillations-- Mathematical models.
|
| Subject
|
:
|
Plates (Engineering)-- Vibration-- Mathematical models.
|
| Subject
|
:
|
TECHNOLOGY ENGINEERING-- Civil-- General.
|
| Dewey Classification
|
:
|
624.1776
|
| LC Classification
|
:
|
TA660.P6
|