Download and read online Continuum Mechanics in PDF and EPUB Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.
Download and read online Continuum Mechanics in PDF and EPUB DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div
Download and read online Mathematics Applied to Continuum Mechanics in PDF and EPUB This classic work gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation. Extensive exercises and a valuable section containing hints and answers make this an excellent text for both classroom use and independent study.
Download and read online The Theory of the Relativity of Motion in PDF and EPUB Classic introduction to Einstein's theory, written by a prominent physicist, provides the two main postulates upon which the theory rests and their experimental evidence. The relation between relativity theory and the principle of least action is discussed, as is a four-dimensional method of expressing and treating the results of relativity theory. 1917 edition.
Download and read online Geometric Continuum Mechanics and Induced Beam Theories in PDF and EPUB This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.
Download and read online Advanced Methods of Continuum Mechanics for Materials and Structures in PDF and EPUB This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.
Download and read online Kontinuumsmechanik in PDF and EPUB Das Buch führt in möglichst einfacher Weise in die Grundlagen der Kontinuumsmechanik ein, wobei der Schwerpunkt bei festen deformierbaren Körpern liegt. Es gliedert sich in vier Teile: - Grundbegriffe und mathematische Grundlagen - Materialunabhängige Gleichungen - Materialabhängige Gleichungen - Anfangs-Randwertaufgaben der Kontinuumsmechanik Zahlreiche Beispiele mit vollständigen Lösungen illustrieren den theoretischen Teil und erleichtern so das Verständnis. In der 2. Auflage wurde Teil III Materialabhängige Gleichungen weiterentwickelt und zusätzliche Beispiele wurden integriert, um die Vor- und Nachteile der unterschiedlichen Formulierungskonzepte noch deutlicher zu machen. Außerdem wurden Fehler beseitigt.
Download and read online Continuum Mechanics in the Earth Sciences in PDF and EPUB Continuum mechanics underlies many geological and geophysical phenomena, from earthquakes and faults to the fluid dynamics of the Earth. This interdisciplinary book provides geoscientists, physicists and applied mathematicians with a class-tested, accessible overview of continuum mechanics. Starting from thermodynamic principles and geometrical insights, the book surveys solid, fluid and gas dynamics. In later review chapters, it explores new aspects of the field emerging from nonlinearity and dynamical complexity and provides a brief introduction to computational modeling. Simple, yet rigorous, derivations are used to review the essential mathematics. The author emphasizes the full three-dimensional geometries of real-world examples, enabling students to apply this in deconstructing solid earth and planet-related problems. Problem sets and worked examples are provided, making this a practical resource for graduate students in geophysics, planetary physics and geology and a beneficial tool for professional scientists seeking a better understanding of the mathematics and physics within Earth sciences.
Download and read online Classical Field Theory in PDF and EPUB This text concerns continuum mechanics, electrodynamics and the mechanics of electrically polarized media, and gravity. Geared toward advanced undergraduates and graduate students, it offers an accessible approach that formulates theories according to the principle of least action. The chief advantage of this formulation is its simplicity and ease, making the physical content of classical subjects available to students of physics in a concise form. Author Davison E. Soper, a Professor of Physics at the University of Oregon, intended this treatment as a primary text for courses in classical field theory as well as a supplement for courses in classical mechanics or classical electrodynamics. Topics include fields and transformation laws, the principle of stationary action, general features of classical field theory, the mechanics of fluids and elastic solids, special types of solids, nonrelativistic approximations, and the electromagnetic field. Additional subjects include electromagnetically polarized materials, gravity, momentum conservation in general relativity, and dissipative processes.
Download and read online An Introduction to the Theory of Elasticity in PDF and EPUB Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.
Download and read online Nonlinear Mechanics in PDF and EPUB In their prior Dover book, the authors provided a self-contained account of classical mechanics; this supplement/update offers a bridge to contemporary mechanics. Topics include nonlinear continuous systems. 2006 edition.
Download and read online Elasticity in PDF and EPUB A comprehensive survey of the methods and theories of linear elasticity, this three-part introductory treatment covers general theory, two-dimensional elasticity, and three-dimensional elasticity. Ideal text for a two-course sequence on elasticity. 1984 edition.
Download and read online Gravitational Curvature in PDF and EPUB This classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to gravitational curvature, it emphasizes the subject's geometric essence and stresses the global aspects of cosmology. Suitable for independent study as well as for courses in differential geometry, relativity, and cosmology. 1979 edition.
Download and read online Mathematische Grundlagen der Quantenmechanik in PDF and EPUB Aus dem Geleitwort von R. Haag: "Es bleibt die Faszination eines großen Wurfs und großen Ideenreichtums."
Download and read online Theoretical Mechanics of Particles and Continua in PDF and EPUB This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.