Dynamic Characteristics of Layered Structures: Mathematical Modelling, and Numerical Simulations: Mathematical Modelling, and Numerical Simulations

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.

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.