This proceedings volume comprises selected chapters presented at the International Conference on Applied Mathematics and Mechanics (ICAMM 2023), held at the Indian Institute of Technology Indore, India, from 1820 October 2023. Organized into **** 32 chapters, it presents the recent advancements, cutting-edge innovations, prevalent trends, real-world challenges and solutions embraced in the applications of mathematics and mechanics. The book is of interest to researchers, students and the practicing engineers working in diverse areas of science and engineering, ranging from mathematical modelling and simulations, applied mathematics, numerical methods, solid and fluid mechanics, elasticity, geomechanics, computational engineering, structural engineering, wave propagation and sustainable construction practice.

Discusses the cutting-edge innovations, challenges and solutions in the applications of mathematics and mechanics Includes chapters on mathematical modelling and simulations, applied mathematics, numerical methods, and mechanics Highlights mathematics applications in elasticity, geomechanics, seismic waves, and sustainable construction

Autorentext

Santanu Manna is an Associate Professor in the Department of Mathematics at the Indian Institute of Technology Indore, where he has been serving since 2019. He earned his Ph.D. in Applied Mathematics from IIT (ISM) Dhanbad in 2015. He pursued postdoctoral research at the IISER Kolkata and was subsequently awarded the prestigious Newton International Fellowship by the Royal Society, joining Keele University, United Kingdom, as a Postdoctoral Fellow. With over 50 publications in reputed journals and editorial responsibilities for top-tier platforms such as Elsevier and Springer, including conference volumes, He has made significant contributions to his field. His core research areas include mathematical modelling on wave propagation, solid mechanics, porous media, integral transforms, geomechanics, and thin-walled structures. He has successfully led six externally funded research projects and supervised six Ph.D. scholars, three of whom have already been awarded their degrees. In addition to collaborating extensively with researchers from the UK, the USA, Italy, Russia, Greece, France, Germany, and Switzerland, he also actively participates in international research projects. He has also served as the convener of more than ten national and international academic events, reflecting his leadership and sustained commitment to academic excellence.

Sandeep Chaudhary is Professor in the Department of Civil Engineering, and Dean of Administration at the IIT Indore. A Ph.D. from the IIT Delhi, and with more than 26 years of his career, he has served as an academician, a researcher and an industry expert in sustainable construction practices, including upcycling of wastes, development of building materials and their assessment, and structural analysis and design. His group conducts analytical and experimental studies, ranging from materials' microstructural behaviour to sustainable building products. With more than 100 papers published in SCI/SCI(E) journals and supervision of 14 Ph.D. students, he has been in multidisciplinary and international collaborative research to develop sustainable global solutions. He has been the principal investigator of multiple funded research projects with universities from Russia, UK, China, Hong Kong, France, Thailand and Tunisia.

Vinay Kumar Gupta is an Associate Professor in the Department of Mathematics, IIT Indore. Before joining IIT Indore as an Assistant Professor in 2019, he was a Post-Doc on the Commonwealth Rutherford Fellowship at the Mathematics Institute, University of Warwick, UK, from 2018 to 2019. He served the Department of Mathematics, SRM Institute of Science and Technology, Chennai, India as Assistant Professor, from 2016 to 2018. Earlier, he was a Post-Doc at the Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany, in 2016. He earned his Ph.D. degree from the Department of Mathematics, RWTH Aachen University, Germany, in 2015, and M.S. (Engineering) degree from the Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru, Karnataka, India, in 2011. He also earned his M.Sc. (Applied Mathematics) degree from IIT Roorkee, in 2007. His current research interests include kinetic theory of molecular and granular gases, applied mathematics and numerical methods.

Inhalt

Fiedler Linearizations of Multivariable State-space Systems and its Associated System Matrix.- Two Level Trade Credit Criteria and Discount Policy for Deteriorating Items with Linearly Increasing Demand.- Thermally-induced Rarefied Gas Flows: An Approach through the Method of Fundamental Solutions.- Wave Scattering by a Circular Cylinder: A Time-marching Perspective.- Mathematical Modelling of Hybrid Morphnus Guianensis: Acinonyx Jubatus Soemmeringii Inspired Optimization Algorithm for True Power Loss Reduction.- An Intelligent System for Nutrition Deficiency Detection using Deep Learning Techniques.- Application of Deep Learning Techniques for Structural Health Monitoring and Damage Detection in Civil Infrastructure.- Application of AI/ML in the field of Aircraft Structural Design.- Mathematical Modeling for Assessing Mechanical Attributes of GGBS Concrete.- Multiple Stability Switches with Hopf Bifurcation in a Delayed PreyPredator Eco-epidemiological Model.- Extensive Analysis of Transverse Wave Behavior in a Graded Magneto-Electro-Elastic Half-space with a Corrugated Interface.- Buckling Analysis of Porous Uni-Directional Functionally Graded Material Sandwich Plate using Sinusoidal Shear Deformation Theory.- Perspective of Quaternion Algebra in Quantum Mechanics: Quaternion Inverse Gaussian Distribution.- Free Vibration Analysis of a Porous P-FGM Sandwich Plate using Refined Shear Deformation Theory.- The Velocity Behavior of the Rayleigh Waves in a Nonlocal Elastic Model Consisting of Sandy Stratum and Porous Semi-infinite Stratum.- Modeling SH Wave Propagation using Spectral Element Method in Concrete Like Media.- Love Wave Propagation in a FRV Layer Imperfectly Bonded over a Microstructural Coupled Stress Half-space.- Unraveling the Dynamics of IoT Epidemics: Mathematical Analysis with a Compartment Model.- A Probe into Viscous Inflationary Cosmology.- Taguchi Optimization of AISI D-2 Die Steel using Graphite based Electrical Discharge Coating (EDC).- An Inventory Model for Deteriorating Goods with Exponential Declining Demand, Partial Stockpiling and Fluctuating Holding and Ordering Cost with Salvage Value.- A Robust Approach for Exact and Numerical Solutions for Multi-term Mixed-order Fractional Differential Equations.- Probing the Inflationary Cosmology in f ( R , T ) Framework with Holographic Background Fluid.- Comparative Analysis of Rao-1 and Rao-2: Algorithms for Portfolio Optimization.- Clifford Wavelet Function and Mellin Transform in Clifford Algebra C l(3, 1) with Interpretation in Quantum Mechanics.- Genetic Algorithm for Secure Domination Problem.- Application of the Composite Finite Element framework for Evolution Equation.