Advances in Modelling and Analysis of Functionally Graded Micro- and Nanostructures.

Format:

Book

Author/Creator:

Kumar Jena, Subrat.

Contributor:

Pradyumna, S.

Chakraverty, Snehashish.

Series:

IOP Ebooks Series

Language:

English

Subjects (All):

Functionally gradient materials.

Structural analysis (Engineering).

Physical Description:

1 online resource (174 pages)

Edition:

1st ed.

Place of Publication:

Bristol : Institute of Physics Publishing, 2024.

Summary:

This book brings together the latest research and developments in the area of bending, buckling and vibration analysis of functionally graded nano and microstructures. It is essential material for graduate students, researchers, and professionals in mechanical & civil engineering, applied mathematics, materials science and related fields.

Contents:

Intro

Acknowledgment

Editor biographies

Subrat Kumar Jena

S Pradyumna

S Chakraverty

List of contributors

Chapter Functionally graded micro and nanostructures: introduction, modeling, and applications

1.1 Introduction

1.2 Modeling of the problem concerned with a FG nanobeam subjected to an instant heat input

1.3 Analytical solutions

1.4 Application

1.5 Analysis of the numerical results

1.5.1 Impact of nonlocal parameter

1.5.2 Impact of kernel functions

1.6 Concluding remarks

References

Chapter Flexural characteristics of functionally graded Timoshenko-Ehrenfest nanobeam

2.1 Introduction

2.2 Stationary variational principle

2.2.1 Functionally graded nanobeams

2.2.2 Mixture unified gradient theory

2.3 Flexure mechanics of nanobeams

2.3.1 Analytical solution of the flexure

2.3.2 Numerical results and discussion

2.4 Concluding remarks

Funding

Declaration of competing interest

Chapter Free vibration of functionally graded strain gradient nanobeams restrained with elastic springs

3.1 Introduction

3.2 Material properties of functionally graded composite

3.3 Strain gradient-dependent vibration

3.3.1 Governing equation

3.3.2 Eigenvalue problem

3.4 Numerical examples

3.5 Conclusions

Chapter Effect of the micromechanical models on the vibration of FGM nanobeams

4.1 Introduction

4.2 Theoretical formulation

4.2.1 Effective properties of FGMs

4.3 Kinematics

4.4 Governing equations of motions

4.4.1 The nonlocal elasticity model for FG nanobeam

4.5 Solution of the governing equation

4.5.1 State space approach

4.5.2 Differential quadrature formulation

4.6 Numerical results and discussion

4.6.1 Convergence of DQM

4.7 Conclusion

References.

Chapter Chebyshev polynomials based Rayleigh-Ritz method for free vibration analysis of axially functionally graded cantilever nanobeam

5.1 Introduction

5.2 FG Euler-Bernoulli cantilever beam

5.3 Theory and mathematical formulation

5.4 Nonlocal FG Euler-Bernoulli nanobeam

5.5 Rayleigh-Ritz formulation

5.5.1 Chebyshev polynomials

5.6 Results and discussion

5.6.1 Convergence study

5.6.2 Validation

5.6.3 Parametric results

5.6.4 Graphical results

5.7 Conclusions

Chapter Flexural vibration of rectangular functionally graded nanoplates

6.1 Introduction

6.2 FG nanoplate

6.3 Numerical modeling

6.4 Results and discussion

6.5 Concluding remarks

Chapter Static or bending analysis of functionally graded micro- or nanoshells

7.1 Introduction

7.2 The geometry of the problem

7.3 Functionally graded material

7.4 Micro- and nanosize structures

7.5 The nonlocal elasticity theory

7.6 Deriving the governing equations

7.6.1 Displacement field

7.6.2 Spherical and conical shell structure and strain tensors

7.6.3 Nonlocal stresses of the FGM shell

7.7 The energy method

7.8 The boundary conditions and solution method

7.9 Numerical results

7.9.1 Validation

7.9.2 Nonlocal and FGM numerical results

7.10 Conclusion and remarks

Chapter Applications of functionally graded nano- and microstructures in MEMS and NEMS

8.1 Introduction

8.2 Fundamentals of functionally graded nano- and microstructures

8.2.1 Definition and characteristics

8.2.2 Fabrication techniques

8.2.3 Material selection criteria

8.3 Functionalized MEMS and NEMS devices

8.3.1 Sensing applications

8.3.2 Thermoelectric devices

8.3.3 Optical switches

8.3.4 Resonators

8.3.5 Pressure sensors

8.3.6 Accelerometers

8.3.7 Gyroscopes.

8.3.8 Actuation systems

8.3.9 Microfluidic devices

8.4 Structural health monitoring

8.5 Challenges and future perspectives

8.5.1 Integration and compatibility issues

8.5.2 Reliability and durability

8.6 Emerging trends and opportunities

8.7 Conclusion

Chapter Application of functionally graded nano- and microstructures in biomedical devices

9.1 Introduction

9.2 Applications of FGMs in biomedical devices

9.2.1 Implantable devices

9.2.2 Drug delivery systems

9.2.3 Biosensors

9.2.4 Tissue engineering

9.2.5 Prosthetics and wearable devices

9.2.6 Diagnostic imaging

9.2.7 Neural interfaces

9.2.8 Microfluidic devices

9.2.9 Biocompatible coatings

9.2.10 Cancer therapy

9.3 Conclusions

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

9780750360241

0750360240

OCLC:

1481472948