Mathematical modelling and characterization of cylindrical structures /

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"Version: 20251001"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Scope and objective -- 1.2. Background -- 1.3. Literature review -- 1.4. Research needs2. Mathematical formulation -- 2.1. Introduction -- 2.2. Stress-strain relations -- 2.3. Strain-displacement relations -- 2.4. Equations of motion and solution3. Wave propagation in a homogeneous isotropic thermoelastic cylindrical panel -- 3.1. Introduction -- 3.2. Boundary conditions and frequency equations -- 3.3. Numerical results and discussion4. 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 discussion5. 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 panel6. 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 discussion7. 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 discussion8. 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 discussions9. 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 computation10. 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.Full-text restricted to subscribers or individual document purchasers.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.Researchers in the fields of materials engineering, mechanical engineering, structural engineering and applied mathematics, particularly those working on magnetostrictive or smart materials.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.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.Title from PDF title page (viewed on November 10, 2025).

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: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750356381

Classification

621.4/772

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Subject(s)

Materials science.
Cylinders

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Farzad Ebrahimi, Rajendran Selvamani.

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