Continuum Mechanics Fundamentals

Author : John W. Rudnicki
Publisher : John Wiley & Sons
Page : 224 pages
File Size : 44,8 Mb
Release : 2014-09-22
Category : Science
ISBN : 9781118927670

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Fundamentals of Continuum Mechanics by John W. Rudnicki Pdf

A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics. A concise introductory course text on continuum mechanics Covers the fundamentals of continuum mechanics Uses modern tensor notation Contains problems and accompanied by a companion website hosting solutions Suitable as a textbook for introductory graduate courses for students in mechanical and civil engineering

Author : S. Valliappan
Publisher : Unknown
Page : 250 pages
File Size : 52,7 Mb
Release : 1981
Category : Continuum mechanics
ISBN : STANFORD:36105030544030

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Continuum Mechanics Fundamentals by S. Valliappan Pdf

Author : Yehuda Klausner
Publisher : Springer Science & Business Media
Page : 638 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781447116776

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Fundamentals of Continuum Mechanics of Soils by Yehuda Klausner Pdf

Fundamentals of Continuum Mechanics of Soils provides a long-needed general scheme for the study of the important yet problematic material of soil. It closes the gap between two disciplines, soil mechanics and con- tinuum mechanics, showing that the familiar concepts of soil mechanics evolve directly from continuum mechanics. It confirms concepts such as pore pressures, cohesion and dependence of the shear stress on consolidation, and rejects the view that continuum mechanics cannot be applied to a material such as soil. The general concepts of continuum mechanics, field equations and constitutive equations are discussed. It is shown how the theory of mixtures evolves from these equations and how, along with energetics and irrevers- ible thermodynamics, it can be applied to soils. The discussion also sheds light on some aspects of mechanics of materials, especially compressible materials. Examples are the introduction of the Hencky measure of strain, the requirement of dual constitutive equations, and the dependence of the spent internal energy on the stored internal energy. Researchers in engineering mechanics and material sciences may find that the results of experiments on soils can be generalized and extended to other materials. The book is a reference text for students familiar with the fundamentals of mechanics, for scholars of soil engineering, and for soil scientists. It is also suitable as an advanced undergraduate course in soil mechanics.

Author : Stephen Bechtel,Robert Lowe
Publisher : Academic Press
Page : 340 pages
File Size : 51,9 Mb
Release : 2014-12-02
Category : Science
ISBN : 9780123948342

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Fundamentals of Continuum Mechanics by Stephen Bechtel,Robert Lowe Pdf

Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study. Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors’ own research

Author : Victor Berdichevsky
Publisher : Springer Science & Business Media
Page : 590 pages
File Size : 51,5 Mb
Release : 2009-09-18
Category : Science
ISBN : 9783540884675

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Variational Principles of Continuum Mechanics by Victor Berdichevsky Pdf

Thereareabout500booksonvariationalprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as the rst principles of the theory of thermodynamic equilibrium but as a consequence of the Einstein formula for thermodynamic uctuations. The mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for direct study of variational problems. Thebookisacompletelyrewrittenversionoftheauthor’smonographVariational Principles of Continuum Mechanics which appeared in Russian in 1983. I have been postponing the English translation because I wished to include the variational pr- ciples of irreversible processes in the new edition. Reaching an understanding of this subject took longer than I expected. In its nal form, this book covers all aspects of the story. The part concerned with irreversible processes is tiny, but it determines the accents put on all the results presented. The other new issues included in the book are: entropy of microstructure, variational principles of vortex line dynamics, va- ational principles and integration in functional spaces, some stochastic variational problems, variational principle for probability densities of local elds in composites with random structure, variational theory of turbulence; these topics have not been covered previously in monographic literature.

Author : Antonio Romano,Addolorata Marasco
Publisher : Springer
Page : 480 pages
File Size : 55,7 Mb
Release : 2014-10-14
Category : Science
ISBN : 9781493916047

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Continuum Mechanics using Mathematica® by Antonio Romano,Addolorata Marasco Pdf

This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, mathematical physics and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

Author : Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott
Publisher : Cambridge University Press
Page : 373 pages
File Size : 42,5 Mb
Release : 2012
Category : Science
ISBN : 9781107008267

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Continuum Mechanics and Thermodynamics by Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott Pdf

Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Author : Yavuz Basar,Dieter Weichert
Publisher : Springer Science & Business Media
Page : 201 pages
File Size : 54,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662042991

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Nonlinear Continuum Mechanics of Solids by Yavuz Basar,Dieter Weichert Pdf

The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.

Author : Oscar Gonzalez,Andrew M. Stuart
Publisher : Cambridge University Press
Page : 5 pages
File Size : 48,5 Mb
Release : 2008-01-17
Category : Science
ISBN : 9780521886802

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A First Course in Continuum Mechanics by Oscar Gonzalez,Andrew M. Stuart Pdf

The modeling and simulation of fluids, solids and other materials with significant coupling and thermal effects is becoming an increasingly important area of study in applied mathematics and engineering. Necessary for such studies is a fundamental understanding of the basic principles of continuum mechanics and thermodynamics. This book is a clear introduction to these principles. It is designed for a one- or two-quarter course for advanced undergraduate and beginning graduate students in the mathematical and engineering sciences, and is based on over nine years of teaching experience. It is also sufficiently self-contained for use outside a classroom environment. Prerequisites include a basic knowledge of linear algebra, multivariable calculus, differential equations and physics. The authors begin by explaining tensor algebra and calculus in three-dimensional Euclidean space. Using both index and coordinate-free notation, they introduce the basic axioms of continuum mechanics pertaining to mass, force, motion, temperature, energy and entropy, and the concepts of frame-indifference and material constraints. They devote four chapters to different theories of fluids and solids, and, unusually at this level, they consider both isothermal and thermal theories in detail. The book contains a wealth of exercises that support the theory and illustrate various applications. Full solutions to odd-numbered exercises are given at the end of each chapter and a complete solutions manual for all exercises is available to instructors upon request. Each chapter also contains a bibliography with references covering different presentations, further applications and numerical aspects of the theory. Book jacket.

Author : D. S. Chandrasekharaiah,Lokenath Debnath
Publisher : Elsevier
Page : 595 pages
File Size : 46,6 Mb
Release : 2014-05-19
Category : Science
ISBN : 9781483294681

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Continuum Mechanics by D. S. Chandrasekharaiah,Lokenath Debnath Pdf

A detailed and self-contained text written for beginners, Continuum Mechanics offers concise coverage of the basic concepts, general principles, and applications of continuum mechanics. Without sacrificing rigor, the clear and simple mathematical derivations are made accessible to a large number of students with little or no previous background in solid or fluid mechanics. With the inclusion of more than 250 fully worked-out examples and 500 worked exercises, this book is certain to become a standard introductory text for students as well as an indispensable reference for professionals. Key Features * Provides a clear and self-contained treatment of vectors, matrices, and tensors specifically tailored to the needs of continuum mechanics * Develops the concepts and principles common to all areas in solid and fluid mechanics with a common notation and terminology * Covers the fundamentals of elasticity theory and fluid mechanics

Author : Ellis H. Dill
Publisher : CRC Press
Page : 368 pages
File Size : 50,9 Mb
Release : 2006-11-10
Category : Science
ISBN : 9781420009828

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Continuum Mechanics by Ellis H. Dill Pdf

Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject th

Author : Antonio Romano,Addolorata Marasco
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 41,8 Mb
Release : 2010-07-23
Category : Science
ISBN : 9780817648701

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Continuum Mechanics by Antonio Romano,Addolorata Marasco Pdf

This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.

Author : Carlos Alberto Dutra Fraga Filho
Publisher : Springer
Page : 147 pages
File Size : 40,5 Mb
Release : 2018-11-30
Category : Science
ISBN : 9783030007737

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Smoothed Particle Hydrodynamics by Carlos Alberto Dutra Fraga Filho Pdf

This book is based on results obtained over a decade of study and research. It questions the use of dynamic molecular models in the continuum scale providing alternative solutions to open problems in the literature. It provides a physical-mathematical understanding of the differential equations that govern fluid flow and energy transport, serving as a reference to the application of Smoothed Particle Hydrodynamics in continuum fluid mechanics and transport phenomena. The physical-mathematical modelling of the problems in the continuum scale and the employment of the SPH method for solving the equations are presented. Examples of applications in continuum fluid mechanics with numerical results and discussions are also provided. This literature defends the concepts of continuum mechanics and the application of boundary treatment techniques that do not violate the laws of physics.

Author : Fridtjov Irgens
Publisher : Springer Science & Business Media
Page : 661 pages
File Size : 45,6 Mb
Release : 2008-01-10
Category : Science
ISBN : 9783540742982

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Continuum Mechanics by Fridtjov Irgens Pdf

This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.

Author : Keith D. Hjelmstad
Publisher : Springer Science & Business Media
Page : 485 pages
File Size : 40,8 Mb
Release : 2007-03-14
Category : Technology & Engineering
ISBN : 9780387233314

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Fundamentals of Structural Mechanics by Keith D. Hjelmstad Pdf

A solid introduction to basic continuum mechanics, emphasizing variational formulations and numeric computation. The book offers a complete discussion of numerical method techniques used in the study of structural mechanics.