Author : Miroslav Silhavy
Publisher : Springer Science & Business Media
Page : 511 pages
File Size : 29,93 MB
Release : 2013-11-27
Category : Science
ISBN : 3662033895
From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter
Author : L. I. Sedov
Publisher : World Scientific Publishing Company Incorporated
Page : 1368 pages
File Size : 21,69 MB
Release : 1996-06
Category : Science
ISBN : 9789971507282
This volume is written by Academician Sedov who is considered by many as the leading scientist in mechanics in the USSR. This latest fourth edition helps the reader in a relatively short time to master and acquire fully the essence of many geometrical and mechanical theories.
Author : Lawrence E. Malvern
Publisher :
Page : 713 pages
File Size : 45,40 MB
Release : 1969
Category : Continuum mechanics
ISBN :
Author : Grigory Vekstein
Publisher : CRC Press
Page : 208 pages
File Size : 29,74 MB
Release : 1992-01-01
Category : Science
ISBN : 9780750301411
Physics of Continuous Media: A Collection of Problems with Solutions for Physics Students contains a set of problems with detailed and rigorous solutions. Aimed at undergraduate and postgraduate students in physics and applied mathematics, the book is a complementary text for standard courses on the physics of continuous media. With its assortment of standard problems for beginners, variations on a theme, and original problems based on new trends and theories in the physics under investigation, this book aids in the understanding of practical aspects of the subject. Topics discussed include vectors, tensors, and Fourier transformations; dielectric waves in media; natural optical activity; Cherenkov radiation; nonlinear interaction of waves; dynamics of ideal fluids and the motion of viscous fluids; convection; turbulence and acoustic and shock waves; the theory of elasticity; and the mechanics of liquid crystals.
Author : S. C. Hunter
Publisher : Ellis Horwood
Page : 576 pages
File Size : 30,93 MB
Release : 1976
Category : Science
ISBN :
Author : Anthony Bedford
Publisher : Springer Nature
Page : 114 pages
File Size : 24,67 MB
Release : 2021-12-14
Category : Science
ISBN : 3030903060
This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
Author : Alexander L. Fetter
Publisher : Courier Corporation
Page : 596 pages
File Size : 24,82 MB
Release : 2003-12-16
Category : Science
ISBN : 0486432610
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.
Author : B. Lautrup
Publisher : CRC Press
Page : 698 pages
File Size : 12,21 MB
Release : 2011-03-22
Category : Science
ISBN : 1420077007
Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, Second Edition provides an introduction to the basic ideas of continuum physics and their application to a wealth of macroscopic phenomena. The text focuses on the many approximate methods that offer insight into the rich physics hidden in fundamental continuum mechanics equations. Like its acclaimed predecessor, this second edition introduces mathematical tools on a "need-to-know" basis. New to the Second Edition This edition includes three new chapters on elasticity of slender rods, energy, and entropy. It also offers more margin drawings and photographs and improved images of simulations. Along with reorganizing much of the material, the author has revised many of the physics arguments and mathematical presentations to improve clarity and consistency. The collection of problems at the end of each chapter has been expanded as well. These problems further develop the physical and mathematical concepts presented. With worked examples throughout, this book clearly illustrates both qualitative and quantitative physics reasoning. It emphasizes the importance in understanding the physical principles behind equations and the conditions underlying approximations. A companion website provides a host of ancillary materials, including software programs, color figures, and additional problems.
Author : Martin H. Sadd
Publisher : Academic Press
Page : 432 pages
File Size : 30,97 MB
Release : 2018-03-31
Category : Technology & Engineering
ISBN : 0128116498
Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries: kinematics of motion and deformation; force and stress measures; and general principles of mass, momentum and energy balance. The book then moves beyond other books by dedicating several chapters to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Offers a thorough, concise and organized presentation of continuum mechanics formulation Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study Features extensive use of exercises, providing more material for student engagement and instructor presentation
Author : G. Thomas Mase
Publisher : CRC Press
Page : 398 pages
File Size : 23,67 MB
Release : 2020-05-01
Category : Science
ISBN : 1482238705
A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools. Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problems With an abundance of worked examples and chapter problems, it carefully explains necessary mathematics and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills.
