Fundamentals Of Continuum Mechanics

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• Author : John W. Rudnicki
• Publisher : John Wiley & Sons
• Release Date : 2014-09-22
• Total pages : 224
• ISBN : 9781118927670
• File Size : 54,5 Mb
• Total Download : 879
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Download Fundamentals of Continuum Mechanics in PDF, Epub, and Kindle

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 : Stephen Bechtel,Robert Lowe
• Publisher : Academic Press
• Release Date : 2014-12-02
• Total pages : 340
• ISBN : 9780123948342
• File Size : 38,7 Mb
• Total Download : 196
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Download Fundamentals of Continuum Mechanics in PDF, Epub, and Kindle

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 : John W. Rudnicki
• Publisher : John Wiley & Sons
• Release Date : 2014-11-10
• Total pages : 218
• ISBN : 9781118479919
• File Size : 49,5 Mb
• Total Download : 998
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Download Fundamentals of Continuum Mechanics in PDF, Epub, and Kindle

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 : Yehuda Klausner
• Publisher : Springer Science & Business Media
• Release Date : 2012-12-06
• Total pages : 638
• ISBN : 9781447116776
• File Size : 14,5 Mb
• Total Download : 859
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Download Fundamentals of Continuum Mechanics of Soils in PDF, Epub, and Kindle

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 : Antonio Romano,Addolorata Marasco
• Publisher : Springer
• Release Date : 2014-10-14
• Total pages : 480
• ISBN : 9781493916047
• File Size : 29,9 Mb
• Total Download : 886
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Download Continuum Mechanics using Mathematica® in PDF, Epub, and Kindle

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 : W Michael Lai,Erhard Krempl,David Rubin
• Publisher : Elsevier
• Release Date : 2014-06-28
• Total pages : 570
• ISBN : 9780080509136
• File Size : 41,6 Mb
• Total Download : 156
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Download Introduction to Continuum Mechanics in PDF, Epub, and Kindle

Introduction to Continuum Mechanics is a recently updated and revised text which is perfect for either introductory courses in an undergraduate engineering curriculum or for a beginning graduate course. Continuum Mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation, and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples of problems, many with solutions. Serves as either a introductory undergraduate course or a beginning graduate course textbook. Includes many problems with illustrations and answers.

• Author : Victor Berdichevsky
• Publisher : Springer Science & Business Media
• Release Date : 2009-09-18
• Total pages : 586
• ISBN : 9783540884675
• File Size : 47,6 Mb
• Total Download : 632
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Download Variational Principles of Continuum Mechanics in PDF, Epub, and Kindle

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 : Ellis H. Dill
• Publisher : CRC Press
• Release Date : 2006-11-10
• Total pages : 368
• ISBN : 9781420009828
• File Size : 55,9 Mb
• Total Download : 403
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Download Continuum Mechanics in PDF, Epub, and Kindle

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 that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.

• Author : D. S. Chandrasekharaiah,Lokenath Debnath
• Publisher : Elsevier
• Release Date : 2014-05-19
• Total pages : 595
• ISBN : 9781483294681
• File Size : 22,5 Mb
• Total Download : 547
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Download Continuum Mechanics in PDF, Epub, and Kindle

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 : G. Thomas Mase,Ronald E. Smelser,Jenn Stroud Rossmann
• Publisher : CRC Press
• Release Date : 2020-05-01
• Total pages : 398
• ISBN : 9781482238709
• File Size : 18,9 Mb
• Total Download : 385
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Download Continuum Mechanics for Engineers in PDF, Epub, and Kindle

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 : Han-Chin Wu
• Publisher : CRC Press
• Release Date : 2004-12-20
• Total pages : 704
• ISBN : 9781135440398
• File Size : 20,9 Mb
• Total Download : 716
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Download Continuum Mechanics and Plasticity in PDF, Epub, and Kindle

Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting many other challenges in the field- is a firm grasp of the principles of continuum mechanics and how they apply to the formulation of plasticity theory. Also critical is understanding the experimental aspects of plasticity and material anisotropy. Integrating the traditionally separate subjects of continuum mechanics and plasticity, this book builds understanding in all of those areas. Part I provides systematic, comprehensive coverage of continuum mechanics, from a review of Carteisian tensors to the relevant conservation laws and constitutive equation. Part II offers an exhaustive presentation of the continuum theory of plasticity. This includes a unique treatment of the experimental aspects of plasticity, covers anisotropic plasticity, and incorporates recent research results related to the endochronic theory of plasticity obtained by the author and his colleagues. By bringing all of these together in one book, Continuum Mechanics and Plasticity facilitates the learning of solid mechanics. Its readers will be well prepared for pursuing either research related to the mechanical behavior of engineering materials or developmental work in engineering analysis and design.

• Author : Yong Gan
• Publisher : BoD – Books on Demand
• Release Date : 2012-03-28
• Total pages : 170
• ISBN : 9789535104476
• File Size : 46,6 Mb
• Total Download : 886
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Download Continuum Mechanics in PDF, Epub, and Kindle

Continuum Mechanics is the foundation for Applied Mechanics. There are numerous books on Continuum Mechanics with the main focus on the macroscale mechanical behavior of materials. Unlike classical Continuum Mechanics books, this book summarizes the advances of Continuum Mechanics in several defined areas. Emphasis is placed on the application aspect. The applications described in the book cover energy materials and systems (fuel cell materials and electrodes), materials removal, and mechanical response/deformation of structural components including plates, pipelines etc. Researchers from different fields should be benefited from reading the mechanics approached to real engineering problems.

• Author : S. Valliappan
• Publisher : Unknown
• Release Date : 1981
• Total pages : 250
• ISBN : STANFORD:36105030544030
• File Size : 17,9 Mb
• Total Download : 481
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Download Continuum Mechanics Fundamentals in PDF, Epub, and Kindle

PDF book entitled Continuum Mechanics Fundamentals written by S. Valliappan and published by Unknown which was released on 1981 with total hardcover pages 250, the book become popular and critical acclaim.

• Author : Keith D. Hjelmstad
• Publisher : Springer Science & Business Media
• Release Date : 2007-03-14
• Total pages : 480
• ISBN : 9780387233314
• File Size : 51,9 Mb
• Total Download : 977
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Download Fundamentals of Structural Mechanics in PDF, Epub, and Kindle

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.

• Author : Oscar Gonzalez,Andrew M. Stuart
• Publisher : Cambridge University Press
• Release Date : 2008-01-17
• Total pages : 386
• ISBN : 9780521886802
• File Size : 15,7 Mb
• Total Download : 499
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Download A First Course in Continuum Mechanics in PDF, Epub, and Kindle

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 : Koichi Hashiguchi
• Publisher : Elsevier
• Release Date : 2020-06-19
• Total pages : 420
• ISBN : 9780128194294
• File Size : 20,9 Mb
• Total Download : 458
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Download Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity in PDF, Epub, and Kindle

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept. The subloading surface concept insists that the plastic strain rate is not induced suddenly at the moment when the stress reaches the yield surface but it develops continuously as the stress approaches the yield surface, which is crucially important for the precise description of cyclic loading behavior. Then, the exact formulations of the elastoplastic and viscoplastic constitutive equations based on the multiplicative decomposition are expounded in great detail. The book concludes with examples of these concepts and modeling techniques being deployed in real-world applications. Table of Contents: 1. Mathematical Basics 2. General (Curvilinear) Coordinate System 3. Description of Deformation/Rotation in Convected Coordinate System 4. Deformation/Rotation (Rate) Tensors 5. Conservation Laws and Stress Tensors 6. Hyperelastic Equations 7. Development of Elastoplastic Constitutive Equations 8. Multiplicative Decomposition of Deformation Gradient Tensor 9. Multiplicative Hyperelastic-based Plastic and Viscoplastic Constitutive Equations 10. Friction Model: Finite Sliding Theory Covers both the fundamentals of continuum mechanics and elastoplasticity while also introducing readers to more advanced topics such as the subloading surface model and the multiplicative decomposition among others Approaches finite elastoplasticity and viscoplasticty theory based on multiplicative decomposition and the subloading surface model Provides a thorough introduction to the general tensor formulation details for the embedded curvilinear coordinate system and the multiplicative decomposition of the deformation gradient

• Author : Yavuz Basar,Dieter Weichert
• Publisher : Springer Science & Business Media
• Release Date : 2013-11-11
• Total pages : 193
• ISBN : 9783662042991
• File Size : 38,9 Mb
• Total Download : 810
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Download Nonlinear Continuum Mechanics of Solids in PDF, Epub, and Kindle

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 : Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott
• Publisher : Cambridge University Press
• Release Date : 2012
• Total pages : 373
• ISBN : 9781107008267
• File Size : 17,6 Mb
• Total Download : 650
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Download Continuum Mechanics and Thermodynamics in PDF, Epub, and Kindle

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

• Author : Ellis H. Dill
• Publisher : CRC Press
• Release Date : 2006-11-10
• Total pages : 382
• ISBN : 0849397790
• File Size : 14,8 Mb
• Total Download : 337
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Download Continuum Mechanics in PDF, Epub, and Kindle

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 that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.

• Author : Jenn Stroud Rossmann,Clive L. Dym,Lori Bassman
• Publisher : CRC Press
• Release Date : 2015-03-24
• Total pages : 415
• ISBN : 9781482219531
• File Size : 28,5 Mb
• Total Download : 134
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Download Introduction to Engineering Mechanics in PDF, Epub, and Kindle

Integrated Mechanics Knowledge Essential for Any EngineerIntroduction to Engineering Mechanics: A Continuum Approach, Second Edition uses continuum mechanics to showcase the connections between engineering structure and design and between solids and fluids and helps readers learn how to predict the effects of forces, stresses, and strains. T

• Author : Lawrence E. Malvern
• Publisher : Unknown
• Release Date : 1969
• Total pages : 713
• ISBN : OCLC:2309235
• File Size : 33,8 Mb
• Total Download : 342
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Download Introduction to the Mechanics of a Continuous Medium in PDF, Epub, and Kindle

PDF book entitled Introduction to the Mechanics of a Continuous Medium written by Lawrence E. Malvern and published by Unknown which was released on 1969 with total hardcover pages 713, the book become popular and critical acclaim.