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Author : Leonid Ivanovich Sedov
Publisher : World Scientific Publishing
Page : 1310 pages
File Size : 48,6 Mb
Release : 1997
Category : Continuum mechanics
ISBN : 9810239815
Author : Leonid Ivanovich Sedov
Publisher : Unknown
Page : 712 pages
File Size : 47,7 Mb
Release : 1997
Category : Continuum mechanics
ISBN : 9810239823
Author : Miroslav Silhavy
Publisher : Springer Science & Business Media
Page : 511 pages
File Size : 45,9 Mb
Release : 2013-11-27
Category : Science
ISBN : 9783662033890
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 : John Botsis,Michel Deville
Publisher : PPUR Presses Polytechniques
Page : 0 pages
File Size : 55,8 Mb
Release : 2018
Category : Continuum mechanics
ISBN : 2889152812
Author : Lawrence E. Malvern
Publisher : Unknown
Page : 713 pages
File Size : 47,5 Mb
Release : 1969
Category : Continuum mechanics
ISBN : OCLC:2309235
Author : R. Valid
Publisher : Elsevier
Page : 372 pages
File Size : 48,9 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780080984612
Mechanics of Continuous Media and Analysis of Structures is a six-chapter book that begins by elucidating the mechanics of solid continuous media. The text then describes the finite elements method, which undoubtedly dominates the methods used for structural analysis. Subsequent chapters explain the variational principles in linear elasticity, vibration of linear structure, non-linear deformations, and the shell theory. This book will be valuable to all those who need certain theoretical developments in mechanics, including mechanical engineers, economists, and mathematicians.
Author : S. C. Hunter
Publisher : Ellis Horwood
Page : 582 pages
File Size : 43,9 Mb
Release : 1976
Category : Continuum mechanics
ISBN : UCSD:31822023443328
Author : Anthony Bedford
Publisher : Springer Nature
Page : 114 pages
File Size : 49,9 Mb
Release : 2021-12-14
Category : Science
ISBN : 9783030903060
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 : G. Thomas Mase,Ronald E. Smelser,Jenn Stroud Rossmann
Publisher : CRC Press
Page : 434 pages
File Size : 40,6 Mb
Release : 2020-05-01
Category : Science
ISBN : 9781482238693
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.
Author : Wilhelm Flügge
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 46,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783642883828
Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject.
Author : G.E. Vekstein
Publisher : CRC Press
Page : 206 pages
File Size : 42,9 Mb
Release : 2020-11-26
Category : Science
ISBN : 9781000157314
This textbook is based on lectures and tutorials given for several years at the Physics Department of Novosibirsk State University. It is constructed as a set of problems followed by detailed solutions and may act as a complementary text for standard courses on the physics of continuous media.
Author : Martin H. Sadd
Publisher : Academic Press
Page : 432 pages
File Size : 51,5 Mb
Release : 2018-03-31
Category : Technology & Engineering
ISBN : 9780128116494
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 mass, momentum and energy balance principles. The book then moves beyond other books by dedicating the last chapter 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, as well as linear and nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials. 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 : M.B. Rubin
Publisher : Springer Nature
Page : 284 pages
File Size : 50,9 Mb
Release : 2020-10-11
Category : Science
ISBN : 9783030577766
This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.
Author : Brian Straughan,Ralf Greve,Harald Ehrentraut,Yongqi Wang
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 53,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662044391
The topics covered include soil mechanics and porous media, glacier and ice dynamics, climatology and lake physics, climate change as well as numerical algorithms. The book, written by well-known experts, addresses researchers and students interested in physical aspects of our environment.
Author : Alexander L. Fetter,John Dirk Walecka
Publisher : Courier Corporation
Page : 596 pages
File Size : 50,7 Mb
Release : 2003-12-16
Category : Science
ISBN : 9780486432618
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.