Non-local structural mechanics / Danilo Karlicic [and three others].

Format:

Book

Author/Creator:

Karličić, Danilo, author.

Karlicic, Danilo, author.

Series:

Mechanical engineering and solid mechanics series.

Mechanical Engineering and Solid Mechanics Series

Language:

English

Subjects (All):

Nanostructures.

Structural analysis (Engineering)--Data processing.

Structural analysis (Engineering).

Physical Description:

1 online resource (308 p.)

Edition:

1st ed.

Place of Publication:

London, England ; Hoboken, New Jersey : ISTE : Wiley, 2016.

Summary:

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.

Contents:

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 elasticity1.13. 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 sheets4.4. 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-systems5.12. 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-systems6.7. 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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed January 13, 2016).

ISBN:

9781118572047

1118572041

9781118571972

1118571975

OCLC:

933443017