Mathematical modelling and characterization of cylindrical structures Farzad Ebrahimi, Rajendran Selvamani

Format:

Book

Author/Creator:

Ebrahimi, Farzad, 1979- author.

Selvamani, Rajendran, author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP Ebooks Series

Language:

English

Subjects (All):

Cylinders--Mathematical models.

Cylinders.

Physical Description:

1 online resource

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) IOP Publishing [2025]

Biography/History:

Professor Farzad Ebrahimi is an Associate Professor in the Department of Mechanical Engineering at Imam Khomeini International University in Iran. He gained his PhD from the University of Tehran in 2010, where he was nominated as an Elite PhD student. His research interests include mechanical behaviours of nano-engineered systems, mechanics of composites and nanocomposites, functionally graded materials, viscoelasticity, and smart materials and structures. Professor Ebrahimi has authored more than 400 peer-reviewed research articles and has edited or authored six books for international publishers, including a forthcoming book with IOP ebooks. He is an Associate Editor of the journal Shock and Vibration, and an Editorial Board member of the Journal of Computational Applied Mechanics. His h-index is 64. Professor Rajendran Selvamani is an Associate Professor in the Department of Mathematics at Karunya Institute of Technology and Sciences, Coimbatore, India. He obtained his PhD in Mathematics from Bharathiar University in 2013. His research interests include mathematical modelling, numerical methods, partial differential equations, dynamics of solid mechanics, and nanomechanics. Professor Selvamani has published over 150 peer-reviewed research articles and authored three books. With an h-index of 14, he has made notable contributions to applied mathematics and its interdisciplinary applications

Summary:

Mathematical Modelling and Characterization of Cylindrical Structures examines the analytical and computational methods used to describe and predict the behaviour of cylindrical forms, which are central to engineering, applied sciences, and materials research. Cylindrical structures--such as pipelines, pressure vessels, aerospace components, and biomedical devices--are widely employed because of their efficiency and strength, yet they are often exposed to complex loading, environmental, and performance demands. This book provides a systematic framework for developing and applying models that capture these realities with precision and practicality

Contents:

1. Introduction

1.1. Scope and objective

1.2. Background

1.3. Literature review

1.4. Research needs

2. Mathematical formulation

2.1. Introduction

2.2. Stress-strain relations

2.3. Strain-displacement relations

2.4. Equations of motion and solution

3. Wave propagation in a homogeneous isotropic thermoelastic cylindrical panel

3.1. Introduction

3.2. Boundary conditions and frequency equations

3.3. Numerical results and discussion

4. Mathematical modelling of waves in a homogeneous isotropic rotating cylindrical panel

4.1. Introduction

4.2. Boundary conditions and frequency equations

4.3. Numerical results and discussion

5. Wave propagation in a transversely isotropic magneto-thermoelastic cylindrical panel

5.1. Introduction

5.2. Boundary conditions and frequency equations

5.3. Numerical results and discussion

5.4. Thickness shear wave propagation in a transversely isotropic piezoelectric cylindrical panel

6. Modelling of elastic waves in a fluid-loaded and immersed piezoelectric hollow cylinder

6.1. Introduction

6.2. Model of the solid medium

6.3. Solutions of the field equation

6.4. Model of the fluid medium

6.5. Solid-fluid boundary conditions and frequency equations

6.6. Numerical results and discussion

7. Wave propagation in a generalized piezothermoelastic rotating bar of circular cross-section

7.1. Introduction

7.2. Formulation of a piezothermoelastic rotating bar

7.3. Analytical solution

7.4. Boundary conditions and frequency equations

7.5. Numerical results and discussion

8. Dispersion analysis of magneto-electroelastic plate of arbitrary cross-sections immersed in fluid

8.1. Introduction

8.2. Formulation of the problem

8.3. Equations of motion for a solid medium

8.4. Equations of motion of the fluid

8.5. Solid-fluid interface conditions and frequency equations

8.6. Results and discussions

9. Dispersion of thermomechanical waves in a non-homogeneous piezoelectric doubly connected polygonal resonator plate using a dual-phase lagging model

9.1. Introduction

9.2. Formulation of the problem

9.3. Solution of the problem

9.4. Boundary conditions and frequency equations

9.5. Numerical computation

10. Assessment of hydrostatic stress and thermopiezoelectricity in a laminated multilayered rotating hollow cylinder

10.1. Introduction

10.2. Formulation of the problem and basic equations

10.3. Equation of motion for linear elastic materials with voids (LEMV)

10.4. Boundary conditions and frequency equations

10.5. Numerical results and discussion

10.6. Axisymmetric vibration in a submerged piezoelectric cylindrical rod coated with thin film

10.7. Modelling of the problem

10.8. Solutions of the field equation

10.9. Boundary conditions and frequency equations

10.10. Numerical results and investigations

10.11. Conclusions

Notes:

"Version: 20251001"--Title page verso

Includes bibliographical references

Online resource; title from PDF title page (viewed on November 10, 2025)

Other Format:

Print version Mathematical modelling and characterization of cylindrical structures

ISBN:

9780750356381

9780750356374

OCLC:

1545258217

Access Restriction:

Restricted for use by site license