Dynamic Characteristics of Layered Structures

Mathematical Modelling and Numerical Simulations
1. Auflage 2026
ISBN: 978-1-032-74785-9
Verlag: Taylor & Francis Ltd

Buch, Englisch, 286 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 579 g

Reihe: Mathematical Engineering, Manufacturing, and Management Sciences

This book covers topics such as seismic and surface wave propagation, nonlinear dynamics, heat and mass transfer, convection phenomena, complex fluid mixing, numerical integration techniques, and crack behaviour in piezoelectric materials. Bringing together analytical, numerical, and theoretical and experimental perspectives, this book serves as a comprehensive reference for understanding cutting-edge developments that shape modern scientific and engineering applications. It is an essential resource for researchers, academicians, and professionals engaged in modelling, simulation, and analysis of sophisticated physical systems.

The book features:

- Comprehensive coverage of advanced wave propagation, including Love-type, Rayleigh-type, and seismic wave scattering in layered, anisotropic, and heterogeneous media.

- In-depth studies on heat and mass transfer phenomena, featuring thermoconvective behaviour, double-diffusive convection, and fluid–thermal interactions.

- Robust analytical and numerical methodologies, such as stability analysis, mixed quadrature rules, nonlinear dynamic modelling, and techniques addressing dissipative processes.

- Focused exploration of modern and complex materials, including piezoelectric composites, orthotropic structures, viscoelastic media, and micro-mechanical systems.

It demonstrates interdisciplinary applicability and provides valuable insights for researchers and professionals in applied mathematics, engineering, geophysics, materials science, and computational mechanics. It is primarily written for graduate students and academic researchers in the fields of mechanical engineering, engineering design, civil engineering, materials science, aerospace engineering, and engineering mathematics.

Zielgruppe

Academic, Postgraduate, and Undergraduate Advanced

Autoren/Hrsg.

Kapoor, Saurabh

Negi, Anil

Hussein, Ahmed Kadhim

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde
• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

1. Love-Type Waves in Heterogeneous Kelvin–Voigt-Type Viscoelastic Media with Coulomb Frictional Interface 2. Understanding Rayleigh-Type Wave Dynamics in Complex Medium 3. Effects of Attenuation Coefficient and Dissipation Factors on the Dispersion Phenomenon of Rayleigh Waves through the Piezo-Viscoelastic Medium 4. Investigation on Love Waves Scattering in an Orthotropic Composite Structure with Surface Irregularity 5. Love-Type Surface Wave Propagation in a Layered Anisotropic Medium with Sliding Interface 6. On the Characteristics of Love Waves Scattered Due to the Irregular Surface of Orthotropic Poroelastic Layer in an Orthotropic Composite Structure 7. Dynamics of Gravity Affected Reflected Waves Generated Due to Incident qP Wave at the Impedance Boundary of a Micro-Mechanically Modeled PFRC Half-Space 8. Crack Propagation and Interaction in Piezoelectric Materials: A Mathematical Approach and Numerical Simulation 9. Novel Similarity Solutions of (1+1)-General Boussinesq and (1+1)-Gilson–Pickering Equations 10. Heat and Mass Transfer of Double Diffusive Convection in a Vertical Porous Flat Plate 11. Finite Amplitude Analysis and Thermoconvective Layer of Maxwell Fluid in Porous Medium in LTNE (Local Thermal Non-Equilibrium) Model with Cross-Diffusion 12. Linear Stability of Thermosolutal Free Convection of Couple Stress Fluid in Porous Zone 13. Mixing of Complex Fluids in Mechanically Agitated Vessels: Challenges and Advances 14. Lie Group-Based Investigation of Symmetries and Solutions for the Kdv–Burgers Equation 15. A Mixed Quadrature Rule of Precision 7 For Integration of Analytic Functions

Über Autor(innen)

Saurabh Kapoor works as an Assistant Professor in the Department of Mathematics at the Regional Institute of Education, Bhubaneswar, India. His research interests include computational fluid dynamics (CFD), hydrodynamic stability, and finite element method. He has published more than 40 research articles in national and international peer-reviewed journals. His taught courses have included real analysis, complex analysis, engineering mathematics, numerical methods, probability and statistics, discrete mathematics, operation research, ordinary and partial differential equations, and advanced calculus. He is a member of international societies such as the International Association of Computer Science and Information Technology (IACSIT), the International Association of Engineers (IAEG), and the International Innovative Scientific and Research Organization.

Anil Negi is currently serving as an Assistant Professor in the Department of Mathematics, Applied Sciences Cluster, School of Advanced Engineering at University of Petroleum and Energy Studies (UPES), Dehradun, Uttarakhand, India. Prior to this, he gained over five years of teaching and research experience as an Assistant Professor at VIT-AP University. His fields of research are computational solid mechanics, geomechanics, theoretical seismology, electrodynamics, piezoelectricity, and fracture mechanics. He has published research papers in international SCI-indexed journals. He has taught courses including calculus for engineers, applied linear algebra, and applications of differential equations. He is a life member of the International Association of Engineers (IAENG).

Ahmed Kadhim Hussein is currently working as a Professor in the Department of Mechanical Engineering at the University of Babylon, Iraq. His research work includes numerical modelling of various areas of heat transfer, computational fluid dynamics, aerodynamics, nanotechnology, clean energy, and extended irreversible thermodynamics. He has published about 120 papers, most of them in Scopus-indexed papers in many international journals and conferences.