Mathematical Modelling and Characterization of Cylindrical Structures examines the analytical and computational methods used to describe and predict the behavior 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.
Key Features:
- Explores both fundamental principles and advanced mathematical perspectives on cylindrical structures.
- Provides a wide-ranging treatment of modeling techniques, from classical methods to modern approaches.
- Bridges theory and application, equipping readers to analyze, design, and optimize cylindrical systems in real-world contexts.
- Serves as a valuable reference for researchers, engineers, and graduate students across applied mathematics, mechanics, and structural engineering.
- Combines rigorous mathematical modeling with characterization methods to deepen understanding of structural behavior and performance.
Table of Contents:
Preface
Acknowledgments
Author biographies
1 Introduction
2 Mathematical formulation
3 Wave propagation in a homogeneous isotropic thermoelastic cylindrical panel
4 Mathematical modelling of waves in a homogeneous isotropic rotating cylindrical panel
5 Wave propagation in a transversely isotropic magneto-thermoelastic cylindrical panel
6 Modelling of elastic waves in a fluid-loaded and immersed piezoelectric hollow cylinder
7 Wave propagation in a generalized piezothermoelastic rotating bar of circular cross-section
8 Dispersion analysis of magneto-electroelastic plate of arbitrary cross-sections immersed in fluid
9 Dispersion of thermomechanical waves in a non-homogeneous piezoelectric doubly connected polygonal resonator plate using a dual-phase lagging model
10 Assessment of hydrostatic stress and thermopiezoelectricity in a laminated multilayered rotating hollow cylinder
About the Author :
Prof. Farzad Ebrahimi is an Associate Professor in the Department of Mechanical Engineering at Imam Khomeini International University in Iran. He gained his Ph.D from the University of Tehran in 2010, where he was nominated as an Elite Ph.D 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. Prof. 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.
Prof. Rajendran Selvamani is an Associate Professor in the Department of Mathematics at Karunya Institute of Technology and Sciences, Coimbatore, India. He obtained his Ph.D. in Mathematics from Bharathiar University in 2013. His research interests include mathematical modelling, numerical methods, partial differential equations, dynamics of solid mechanics, and nanomechanics. Prof. 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.
