Cargando…
Nonlinear theory of elastic plates /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London, UK : Kidlington, Oxford, UK :
ISTE Press ; Elsevier,
2017.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn988941507 | ||
| 003 | OCoLC | ||
| 005 | 20231120010159.0 | ||
| 006 | m o d | ||
| 007 | cr cnu|||unuuu | ||
| 008 | 170605s2017 enka ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e rda |e pn |c N$T |d IDEBK |d N$T |d EBLCP |d OPELS |d CNCGM |d OCLCF |d MERER |d YDX |d OCLCQ |d OTZ |d D6H |d U3W |d OCLCQ |d AU@ |d OCLCQ |d S2H |d OCLCO |d AAA |d OCLCO |d OCLCQ |d SFB |d OCLCQ |d OCLCO | ||
| 066 | |c (S | ||
| 019 | |a 989045574 |a 1000271919 | ||
| 020 | |a 9780081023594 |q (electronic bk.) | ||
| 020 | |a 0081023596 |q (electronic bk.) | ||
| 020 | |z 9781785482274 | ||
| 020 | |z 1785482270 | ||
| 035 | |a (OCoLC)988941507 |z (OCoLC)989045574 |z (OCoLC)1000271919 | ||
| 050 | 4 | |a TA660.P6 | |
| 072 | 7 | |a TEC |x 009020 |2 bisacsh | |
| 082 | 0 | 4 | |a 624.1776 |2 23 |
| 100 | 1 | |a Van, Anh Le, |e author. | |
| 245 | 1 | 0 | |a Nonlinear theory of elastic plates / |c Ann Le van. |
| 264 | 1 | |a London, UK : |b ISTE Press ; |a Kidlington, Oxford, UK : |b Elsevier, |c 2017. | |
| 300 | |a 1 online resource : |b illustration | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed June 8, 2017). | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 520 | |a 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. | ||
| 650 | 0 | |a Plates (Engineering) |x Vibration |x Mathematical models. | |
| 650 | 0 | |a Cylinders |x Vibration |x Mathematical models. | |
| 650 | 0 | |a Nonlinear oscillations |x Mathematical models. | |
| 650 | 6 | |a Oscillations non lin�eaires |0 (CaQQLa)201-0056434 |x Mod�eles math�ematiques. |0 (CaQQLa)201-0379082 | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Civil |x General. |2 bisacsh | |
| 650 | 7 | |a Cylinders |x Vibration |x Mathematical models |2 fast |0 (OCoLC)fst00886055 | |
| 650 | 7 | |a Nonlinear oscillations |x Mathematical models |2 fast |0 (OCoLC)fst01038805 | |
| 650 | 7 | |a Plates (Engineering) |x Vibration |x Mathematical models |2 fast |0 (OCoLC)fst01066800 | |
| 776 | 0 | 8 | |i Print version: |a Van, Anh Le. |t Nonlinear theory of elastic plates. |d London, UK : ISTE Press ; Kidlington, Oxford, UK : Elsevier, 2017 |z 1785482270 |z 9781785482274 |w (OCoLC)973806047 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9781785482274 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 5.8. Virtual power of external forces5.9. Equations of motion and boundary conditions; 5.10. Static problems; 5.11. Overview of equations and unknowns; 5.12. Example: Kirchhoff-Love plate in cylindrical bending; Chapter 6. Constitutive Law of Plates; 6.1. Hyperelastic 3D constitutive law; 6.2. Strains in terms of the Z-coordinate; 6.3. Stress resultants for Cosserat plates; 6.4. Zero normal stress hypothesis σ33 = 0; 6.5. Plane stress state; 6.6. Reduced constitutive law; 6.7. Stress resultants for Reissner-Mindlin plates; 6.8. Stress resultants for Kirchhoff-Love plates | |