Non-Local Structural Mechanics

1. Auflage 2014
ISBN: 978-1-84821-522-1
Verlag: Wiley

Buch, Englisch, 374 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 727 g

Serving as a review on non-local mechanics, this book provides an introduction to non-local elasticity theory for static, dynamic and stability analysis in a wide range of nanostructures.  The authors draw on their own research experience to present fundamental and complex theories that are relevant across a wide range of nanomechanical systems, from the fundamentals of non-local mechanics to the latest research applications.

Autoren/Hrsg.

Karlicic, Danilo

Murmu, Tony

Adhikari, Sondipon

Mccarthy, Michael

Fachgebiete

• Technische Wissenschaften Technik Allgemein Nanotechnologie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Materialwissenschaft: Biomaterialien, Nanomaterialien, Kohlenstoff
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Elastizität, Plastizität, Rheologie

Inhaltsverzeichnis

Preface xi

Chapter 1. Introduction to Non-Local Elasticity 1

1.1. Why the non-local elasticity method for nanostructures? 1

1.2. General modeling of nanostructures  3

1.3. Overview of popular nanostructures  4

1.4. Popular approaches for understanding nanostructures  8

1.5. Experimental methods  9

1.6. Molecular dynamics simulations  9

1.7. Continuum mechanics approach  9

1.8. Failure of classical continuum mechanics 10

1.9. Size effects in properties of small-scale structures  11

1.10. Evolution of size-dependent continuum theories  12

1.11. Concept of non-local elasticity 14

1.12. Mathematical formulation of non-local elasticity  15

1.12.1. Integral form 15

1.12.2. Non-local modulus 17

1.12.3. Differential form equation of non-local elasticity 17

1.13. Non-local parameter 18

1.14. Non-local elasticity theory versus molecular dynamics  19

Chapter 2. Non-local Elastic Rod Theory  21

2.1.Background 21

2.2. Governing equation of motion of the nanorod  24

2.3.Results and discussions  29

Chapter 3. Non-local Elastic Beam Theories 33

3.1. Background 33

3.2. Non-local nanobeam model 36

3.2.1. Non-local Euler–Bernoulli beam theory 36

3.2.2. Non-local Timoshenko beam theory  43

3.2.3. Non-local Reddy beam theory 51

3.3. Torsional vibration of nanobeam  60

3.4. Comparison of the non-local beam theories  64

Chapter 4. Non-local Elastic Plate Theories  69

4.1. Non-local plate for graphene sheets  69

4.2. Non-local plate constitutive relations 69

4.3. Free vibration of single-layer graphene sheets 72

4.3.1. Transverse-free vibration  73

4.3.2. Graphene sheets embedded in an elastic medium  75

4.4. Axially stressed nanoplate non-local theory  78

4.5. In-plane vibration 79

4.6. Buckling of graphene sheets 80

4.6.1. Uniax

Über Autor(innen)

Danilo Karlicic is a Lecturer at the Mechanical Engineering Faculty at the University of Niš, Serbia.
Tony Murmu is a Lecturer of Mechanical Engineering at the University of the West of Scotland, United Kingdom.
Sondipon Adhikari is the Chair of Aerospace Engineering at the College of Engineering at Swansea University, United Kingdom.
Michael McCarthy is Professor of Aeronautical Engineering at the University of Limerick, Ireland.