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.
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 behavior, double-diffusive convection, and fluid–thermal interactions.
- Robust analytical and numerical methodologies, such as stability analysis, mixed quadrature rules, nonlinear dynamic modeling, and techniques addressing dissipative processes.
- Focused exploration of modern and complex materials, including piezoelectric composites, orthotropic structures, viscoelastic media, and micro-mechanical systems.
Interdisciplinary applicability, offering valuable insights for professionals and researchers 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.
Table of Contents:
Chapter 1. Love -Type Waves in Heterogeneous Kelvin-Voigt Type Viscoelastic Media with Coulomb Frictional Interface. Chapter 2. Understanding Rayleigh-Type Wave Dynamics in Complex Medium. Chapter 3. Effects of attenuation coefficient and dissipation factors on the dispersion phenomenon of Rayleigh waves through the Piezo-viscoelastic medium. Chapter 4. Investigation on Love waves scattering in a layered orthotropic composite structure with surface irregularity. Chapter 5. Love-type surface waves propagation in a layered anisotropic medium with sliding interface. Chapter 6. On the characteristics of Love waves scattered due to the irregular surface of orthotropic poroelastic layer in an orthotropic composite structure. Chapter 7. Dynamics of gravity affected reflected waves generated due to incident qP wave at the impedance boundary of a micro-mechanically modelled PFRC half-space. Chapter 8. Crack Propagation and Interaction in Piezoelectric Materials: A Mathematical Approach and Numerical Simulation. Chapter 9. Novel similarity solutions of (1+1)-General Boussinesq and (1+1)-Gilson Pickering equations. Chapter 10. Heat and mass transfer of double diffusive convection in a vertical porous flat plate. Chapter 11. Finite Amplitude Analysis and Thermoconvective Layer of Maxwell Fluid in Porous Medium in LTNE (Local Thermal Non-equilibrium) Model with Cross-Diffusion. Chapter 12. Linear Stability of Thermosolutal Free Convection of Couple Stress Fluid in porous zone. Chapter 13. Mixing of Complex Fluids in Mechanically Agitated Vessels: Challenges and Advances. Chapter 14. Lie Group-Based Investigation of Symmetries and Solutions for the KdV–Burgers Equation. Chapter 15. A Mixed Quadrature Rule of Precision 7 for Integration of Analytic Functions
About the Author :
Saurabh Kapoor is working 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), hydrodynamics stability, and finite element method. He has published more than 40 research articles in national and international peer-reviewed journals. He has taught courses including 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 modeling 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.
