Classical mechanics

An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler-Lagrange equations of motion are derived.

This text provides a pedagogical tour through mechanics from Newton to Einstein with detailed explanations and a large number of worked examples.

This book provides a calculus-based perspective on classical mechanics and the theory of relativity.

This manual provides solutions to the problems given in the second edition of the textbook entitled An Introduction to the Physics of Particle Accelerators.

Electrodynamics is a basic area of physics, encompassing also classical and quantum physics, optics, relativity and field theory, and is of universal practical importance.

This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent.

This textbook offers readers an introduction to fracture mechanics, equipping them to grasp the basic ideas of the presented approaches to modeling in applied mechanicsIn the first part, the book reviews and expands on the classical theory of elastic and elasto-plastic material behavior.

This book is primarily intended to enable postgraduate research students to enhance their understanding and expertise in Fluid Mechanics and Magnetohydrodynamics (MHD), subjects no longer treated in isolation.

The book consists of two separate parts, the first part is on waves and the second part on particles.

This book highlights a systematic introduction to the basic theory of elastic wave propagation in complex media.

This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.

This book provides a comprehensive introduction to the analysis of functionally graded materials and structures.

This book derives physical models from basic principles, studies the effect of equivalent models on the dynamic characteristics of phononic crystals and acoustic metamaterials, and analyzes the physical mechanisms behind vibration and noise reduction.

This book gathers a selection of peer-reviewed papers presented at the 3rd International Conference on Experimental and Computational Mechanics in Engineering (ICECME 2021), held as a virtual conference and organized by Universitas Syiah Kuala, Banda Aceh, Indonesia, on October 11-12, 2021.

This book highlights the failure theories and evaluation techniques of thermal barrier coatings, covering the thermal-mechanical-chemical coupling theories, performance and damage characterization techniques, and related evaluations.

This book highlights a comprehensive description of the numerical methods in rarefied gas dynamics, which has strong applications ranging from space vehicle re-entry, micro-electromechanical systems, to shale gas extraction.

This book highlights the importance of sound produced by fluid flow or flow-induced noise.

This book includes problems based on the material in the course of physical kinetics for the students of general and applied physics.

This book highlights the advantages of the vector-phase method in underwater acoustic measurements and presents results of theoretical and experimental studies of the deep open ocean and shallow sea based on vector-phase representations.

This book highlights the theories and applications of quantum acoustical imaging which can be considered as a part of quantum technology.

This textbook for courses in gas dynamics will be of interest to students and teachers in aerospace and mechanical engineering disciplines.

This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering.

This book summarizes the basics of electricity and magnetism prior to covariant formulation of Maxwell's equations.

This book first introduced the theoretical foundation of nonlinear acoustics such as the basic equations of nonlinear acoustics followed by a statistical mechanics approach to nonlinear acoustics, then a curvilinear spacetime approach to nonlinear acoustics, then a gauge invariance approach to nonlinear acoustics, and application of chaos theory to nonlinear acoustics.

This book is intended to provide a compilation of the state-of-the-art numerical methods for nonlinear fluid-structure interaction using the moving boundary Lagrangian-Eulerian formulation.

This book introduces the latest advances in modular robotics, and presents a unified geometric framework for modeling, analysis, and design of modular robots, including kinematics, dynamics, calibration, and configuration optimization.

This book highlights time reversal acoustics, techniques based on the symmetry properties of acoustic fields.

This book introduces readers to the shell structure, operating principle, manufacturing process, and control theory for cylindrical vibratory gyroscopes.

This book provides a comprehensive introduction to the analysis of functionally graded materials and structures.

This is the first book which systematically describes an integral approach on dimensional analysis.

This book gathers a selection of peer-reviewed papers presented at the 2nd International Conference on Experimental and Computational Mechanics in Engineering (ICECME 2020), held as a virtual conference and organized by Universitas Syiah Kuala, Banda Aceh, Indonesia, on 13-14 October 2020.

This book offers a clear and comprehensive overview of both the theory and application of fundamental aspects of concrete-filled double steel tubes (CFDST).

This book offers a compact primer on advanced numerical flux functions in computational fluid dynamics (CFD).

This book is intended for researchers, graduate students and engineers in the fields of structure-borne sound, structural dynamics, and noise and vibration control.

This book discusses the parametric modeling, performance evaluation, design optimization and comparative study of the high-speed, parallel pick-and-place robots.

This book highlights an analytical solution for the dynamics of axially symmetric rotating objects.

Recent advances in scientific computing have caused the field of aerodynamics to change at a rapid pace, simplifying the design cycle of aerospace vehicles enormously - this book takes the readers from core concepts of aerodynamics to recent research, using studies and real-life scenarios to explain problems and their solutions.

This book presents concepts of theoretical physics with engineering applications.

This book presents selected papers from the International Conference of Aerospace and Mechanical Engineering 2019 (AeroMech 2019), held at the Universiti Sains Malaysia's School of Aerospace Engineering.

This book includes select papers presented during the 16th Asian Congress of Fluid Mechanics, held in JNCASR, Bangalore, and presents the latest developments in computational, experimental and theoretical research as well as industrial and technological advances.

This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations.

This book systematically introduces readers to computational granular mechanics and its relative engineering applications.

This book presents an alternative representation of Einstein's Special Theory of Relativity, which makes Special Relativity much more comprehensible.

This book describes the unsteady phenomena needed to understand supersonic combustion.

This book briefly discusses the main provisions of the theory of modeling.

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This book highlights the latest developments and the author's own research achievements in high speed pneumatic control theory and applied technology.

This volume contains selected papers presented at the 7th International Conference on Theoretical, Applied, Computational and Experimental Mechanics.

This book mainly introduces some basic phenomena and laws of highly ductile materials during elastoplastic deformation, and their engineering applications, such as the transfer and relief of stress concentration in the notch root, the mitigation of possible brittle fracture, the ductile deformation and damage, fatigue, energy absorption, plastic buckling, thermal stress problems, etc.

This book is the 2nd edition of an introduction to modern computational mechanics based on the finite element method.