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Non-local Structural Mechanics.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Wiley,
2015.
|
| Colección: | Iste
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Table of Contents
- Title
- Copyright
- Preface
- 1 Introduction to Non-local Elasticity
- 1.1. Why the non-local elasticity method for nanostructures?
- 1.2. General modeling of nanostructures
- 1.3. Overview of popular nanostructures
- 1.4. Popular approaches for understanding nanostructures
- 1.5. Experimental methods
- 1.6. Molecular dynamics simulations
- 1.7. Continuum mechanics approach
- 1.8. Failure of classical continuum mechanics
- 1.9. Size effects in properties of small-scale structures
- 1.10. Evolution of size-dependent continuum theories
- 1.11. Concept of non-local elasticity
- 1.12. Mathematical formulation of non-local elasticity
- 1.13. Non-local parameter
- 1.14. Non-local elasticity theory versus molecular dynamics
- 2 Non-local Elastic Rod Theory
- 2.1. Background
- 2.2. Governing equation of motion of the nanorod
- 2.3. Results and discussions
- 3 Non-local Elastic Beam Theories
- 3.1. Background
- 3.2. Non-local nanobeam model
- 3.3. Torsional vibration of nanobeam
- 3.4. Comparison of the non-local beam theories
- 4 Non-local Elastic Plate Theories
- 4.1. Non-local plate for graphene sheets
- 4.2. Non-local plate constitutive relations
- 4.3. Free vibration of single-layer graphene sheets
- 4.4. Axially stressed nanoplate non-local theory
- 4.5. In-plane vibration
- 4.6. Buckling of graphene sheets
- 4.7. Summary
- 5 One-Dimensional Double-Nanostructure-Systems
- 5.1. Background
- 5.2. Revisiting non-local rod theory
- 5.3. Axial vibration of double-rod system
- 5.4. Summary
- 5.5. Transverse vibration of double-nanobeam-systems
- 5.6. Vibration of non-local double-nanobeam-system
- 5.7. Boundary conditions in non-local double-nanobeam-system
- 5.8. Exact solutions of the frequency equations
- 5.9. Discussions
- 5.10. Summary.
- 5.11. Axial instability of double-nanobeam-systems
- 5.12. Non-local boundary conditions of NDNBS
- 5.13. Buckling states of double-nanobeam-system
- 5.14. Coupled carbon nanotube systems
- 5.15. Results and discussions on the scale-dependent buckling phenomenon
- 5.15. Summary
- 6 Double-Nanoplate-Systems
- 6.1. Double-nanoplate-system
- 6.2. Vibration of double-nanoplate-system
- 6.3. Equations of motion for non-local double-nanoplate-system
- 6.4. Boundary conditions in non-local double-nanoplate-system
- 6.5. Exact solutions of the frequency equations
- 6.6. Buckling behavior of double-nanoplate-systems
- 6.7. Results and discussion
- 6.8. Summary
- 7 Multiple Nanostructure Systems
- 7.1. Longitudinal vibration of a multi-nanorod system
- 7.2. Transversal vibration and stability of a multiple-nanobeam system
- 7.3. Transversal vibration and buckling of the multi-nanoplate system
- 7.4. Summary
- 8 Finite Element Method for Dynamics of Non-local Systems
- 8.1. Introduction
- 8.2. Finite element modeling of non-local dynamic systems
- 8.3. Modal analysis of non-local dynamical systems
- 8.4. Dynamics of damped non-local systems
- 8.5. Numerical examples
- 8.6. Summary
- 9 Dynamic Finite Element Analysis of Non-local Rods: Axial Vibration
- 9.1. Introduction
- 9.2. Axial vibration of damped non-local rods
- 9.3. Dynamic finite element matrix
- 9.4. Numerical results and discussions
- 9.5. Summary
- 10 Non-local Nanosensor Based on Vibrating Graphene Sheets
- 10.1. Introduction
- 10.2. Free vibration of graphene sheets
- 10.3. Natural vibration of SLGS with biofragment
- 10.4. Sensor equations and sensitivity analysis
- 10.5. Analysis of numerical results
- 10.6. Summary
- 11 Introduction to Molecular Dynamics for Small-scale Structures
- 11.1. Background.
- 11.2. Overview of the molecular dynamics simulation method
- 11.3. Acknowledgement
- Bibliography
- Index
- End User License Agreement.