Wave Propagation Analysis of Smart Nanostructures: 1st Edition (Hardback) book cover

Wave Propagation Analysis of Smart Nanostructures

1st Edition

By Farzad Ebrahimi, Ali Dabbagh

CRC Press

256 pages | 77 B/W Illus.

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Hardback: 9780367226954
pub: 2019-12-27
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Wave Propagation Analysis of Smart Nanostructures presents a mathematical framework for the wave propagation problem of small scale nanobeams and nanoplates manufactured from various materials including functionally graded composites, smart piezoelectric materials, smart magneto-electro-elastic materials, smart magnetostrictive materials, porous materials, and magnetostrictive materials. In this book, both classical and refined higher-order shear deformation beam and plate hypotheses will be employed to formulate the wave propagation problem using the well-known Hamilton’s principle. Besides, the influences of small scale on the mechanical behaviors of the nanostructures will be covered using both nonlocal elasticity and nonlocal strain gradient elasticity theories. Impacts of various terms such as elastic springs of elastic foundation, damping coefficient of viscoelastic substrate, different types of temperature change, applied electric voltage and magnetic potential, and intensity of an external magnetic field on the dispersion curves of nanostructures will be included in this book in the framework of numerical examples.

Table of Contents

An introduction to wave theory and propagation analysis

1.1 Introduction

1.2 Practical applications of waves

1.3 Wave propagation solution

2 An introduction to nonlocal elasticity theories and scale dependent analysis in nano-structures

2.1 Size-dependency: fundamentals and literature review

2.2 Mathematical formulation of the nonlocal elasticity

2.3 Mathematical formulation of the nonlocal strain gradient elasticity

3 Size-dependent effects on wave propagation in nanostructures

3.1 Importance of wave dispersion in nanostructures

3.2 Wave dispersion in smart nanodevices

3.3 Crucial parameters in accurate approximation of the wave propagation responses in nanostructures

4 Wave propagation characteristics of inhomogeneous nanostructures

4.1 Introduction

4.2 Homogenization of FGMs

4.3 Analysis of FG nanobeams

4.4 Analysis of FG nanoplates

5 Porosity effects on wave propagation characteristics of inhomogeneous nanostructures

5.1 Introduction

5.2 Homogenization of porous FGMs

5.3 Wave propagation in porous FG nanostructures

6 Wave propagation analysis of smart heterogeneous piezoelectric nanostructures

6.1 Introduction

6.2 Analysis of FG piezoelectric nanobeams

6.3 Analysis of FG piezoelectric nanoplates

7 Wave dispersion characteristics of magnetostrictive nanostructures

7.1 Magnetostriction and magnetostrictive materials

7.2 Velocity feedback control system

7.3 Constitutive equations of magnetostrictive nanostructures

7.4 Derivation of the governing equations

7.5 Solution procedure

7.6 Numerical results and discussion

8 Wave propagation analysis of magneto-electro-elastic heterogeneous nanostructures

8.1 Introduction

8.2 Analysis of MEE-FG nanobeams

8.3 Analysis of MEE-FG nanoplates

9 Effect of various resting media on wave dispersion characteristics of smart nanostructures

9.1 Winkler foundation

9.2 Winkler-Pasternak foundation

9.3 Visco-Pasternak foundation

9.4 Numerical results and discussion

10 Thermal effects on wave propagation characteristics of smart nanostructures

10.1 Introduction

10.2 Analysis of FG nanobeams

10.3 Analysis of FG nanoplates

10.4 Different types of temperature raise

10.5 Numerical results and discussion

11 Magnetic field effects on wave propagation characteristics of smart nanostructures

11.1 Introduction

11.2 Maxwell's relations

11.3 Analysis of FG nanobeams

11.4 Analysis of FG nanoplates

11.5 Numerical results and discussion

12 Conclusions

About the Authors

Farzad Ebrahimi is an Associate Professor in the Department of Mechanical Engineering at the Imam Khomeini International University (IKIU), Qazvin, Iran. He received his Ph.D. from the School of Mechanical Engineering of the University of Tehran at 2011. Thereafter, he joined IKIU in 2012 as an Assistant Professor and was elected as Associate Professor in 2017. His research interests include mechanics of nanostructures and nanocomposites, smart materials and structures, viscoelasticity, composite materials, functionally graded materials (FGMs), and continuum plate and shell theories. He has published more than 300 international research papers, and is the author of 2 books about smart materials; he has also edited 3 books for international publishers.

Ali Dabbagh is studying for his M.Sc. in the School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran. His research interests include solid mechanics, smart materials and structures, composites and nanocomposites, functionally graded materials (FGMs), nanostructures, and continuum plate and shell theories. He has published 35 international papers in his research area. He is currently working on this M.Sc. thesis, concerned with the mechanical behaviors of hybrid nanocomposite structures subjected to various static and dynamic excitations.

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Mechanics / General