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Fluid Dynamics And Linear Elasticity
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Book Synopsis Fluid Dynamics and Linear Elasticity by : Michael S. Ruderman
Download or read book Fluid Dynamics and Linear Elasticity written by Michael S. Ruderman and published by Springer. This book was released on 2019-07-23 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects. Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids. Based on an undergraduate course taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level.
Book Synopsis Weighted Energy Methods in Fluid Dynamics and Elasticity by : Giovanni P. Galdi
Download or read book Weighted Energy Methods in Fluid Dynamics and Elasticity written by Giovanni P. Galdi and published by Springer. This book was released on 2006-11-14 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elasticity and Fluid Dynamics: Volume 3 of Modern Classical Physics by : Kip S. Thorne
Download or read book Elasticity and Fluid Dynamics: Volume 3 of Modern Classical Physics written by Kip S. Thorne and published by Princeton University Press. This book was released on 2021-05-25 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking textbook on twenty-first-century fluids and elastic solids and their applications Kip Thorne and Roger Blandford’s monumental Modern Classical Physics is now available in five stand-alone volumes that make ideal textbooks for individual graduate or advanced undergraduate courses on statistical physics; optics; elasticity and fluid dynamics; plasma physics; and relativity and cosmology. Each volume teaches the fundamental concepts, emphasizes modern, real-world applications, and gives students a physical and intuitive understanding of the subject. Elasticity and Fluid Dynamics provides an essential introduction to these subjects. Fluids and elastic solids are everywhere—from Earth’s crust and skyscrapers to ocean currents and airplanes. They are central to modern physics, astrophysics, the Earth sciences, biophysics, medicine, chemistry, engineering, and technology, and this centrality has intensified in recent years—so much so that a basic understanding of the behavior of elastic solids and fluids should be part of the repertoire of every physicist and engineer and almost every other natural scientist. While both elasticity and fluid dynamics involve continuum physics and use similar mathematical tools and modes of reasoning, each subject can be readily understood without the other, and the book allows them to be taught independently, with the first two chapters introducing and covering elasticity and the last six doing the same for fluid dynamics. The book also can serve as supplementary reading for many other courses, including in astrophysics, geophysics, and aerodynamics. Includes many exercise problems Features color figures, suggestions for further reading, extensive cross-references, and a detailed index Optional “Track 2” sections make this an ideal book for a one-quarter or one-semester course in elasticity, fluid dynamics, or continuum physics An online illustration package is available to professors The five volumes, which are available individually as paperbacks and ebooks, are Statistical Physics; Optics; Elasticity and Fluid Dynamics; Plasma Physics; and Relativity and Cosmology.
Book Synopsis Continuum Mechanics using Mathematica® by : Antonio Romano
Download or read book Continuum Mechanics using Mathematica® written by Antonio Romano and published by Springer. This book was released on 2014-10-14 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Continuum Mechanics by : Ellis H. Dill
Download or read book Continuum Mechanics written by Ellis H. Dill and published by CRC Press. This book was released on 2006-11-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Mechanical Foundations of Elasticity and Fluid Dynamics by : Clifford Truesdell
Download or read book The Mechanical Foundations of Elasticity and Fluid Dynamics written by Clifford Truesdell and published by . This book was released on 1966 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Continuum Mechanics by : J. N. Reddy
Download or read book An Introduction to Continuum Mechanics written by J. N. Reddy and published by Cambridge University Press. This book was released on 2013-07-29 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. It introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics and heat transfer, and offers a brief introduction to linear viscoelasticity. The book is ideal for advanced undergraduates and graduate students looking to gain a strong background in the basic principles common to all major engineering fields, and for those who will pursue further work in fluid dynamics, elasticity, plates and shells, viscoelasticity, plasticity, and interdisciplinary areas such as geomechanics, biomechanics, mechanobiology and nanoscience. The book features derivations of the basic equations of mechanics in invariant (vector and tensor) form and specification of the governing equations to various co-ordinate systems, and numerous illustrative examples, chapter summaries and exercise problems. This second edition includes additional explanations, examples and problems.
Book Synopsis Second-order Effects in Elasticity, Plasticity and Fluid Dynamics by : International Union of Theoretical and Applied Mechanics
Download or read book Second-order Effects in Elasticity, Plasticity and Fluid Dynamics written by International Union of Theoretical and Applied Mechanics and published by . This book was released on 1964 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Linear Elasticity by : Phillip L. Gould
Download or read book Introduction to Linear Elasticity written by Phillip L. Gould and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This applications-oriented introduction fills an important gap in the field of solid mechanics. Offering a thorough grounding in the tensor-based theory of elasticity for courses in mechanical, civil, materials or aeronautical engineering, it allows students to apply the basic notions of mechanics to such important topics as stress analysis. Further, they will also acquire the necessary background for more advanced work in elasticity, plasticity, shell theory, composite materials and finite element mechanics. This second edition features new chapters on the bending of thin plates, time-dependent effects, and strength and failure criteria.
Book Synopsis Mechanics of Solids and Fluids by : Franz Ziegler
Download or read book Mechanics of Solids and Fluids written by Franz Ziegler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: from reviews of the first edition "This book is a comprehensive treatise... with a significant application to structural mechanics_ the author has provided sufficient applications of the theoretical principles_ such a connection between theory and application is a common theme and quite an attractive feature._ The book is a unique volume which contains information not easily found throughout the related literature." _ APPL. MECH. REV. This text, suitable for courses on fluid and solid mechanics, continuum mechanics, and strength of materials, offers a unified presentation of the theories and practical principles common to all branches of solid and fluid mechanics. For the student, each chapter proceeds from basic material to advanced topics usually covered at the graduate level. The presentation is self -contained, the only prerequisites are the basic algebra and analysis that are usually taught in the first and second years of an undergraduate engineering curriculum. Extensive problem sets, new in this edition, make the text more useful than before. For the practicing engineer, Mechanics of Solids and Fluids provides an up-to-date synopsis of the principles of solid and fluid mechanics combined with illustrative examples. The conservation laws for mass, momentum and energy are considered for both material and control volumes. The discussion of elastostatics includes thermal stress analysis and is extended to linear viscoelasticity by means of the correspondence principle. The Ritz-
Book Synopsis Microstructures in Elastic Media: Fundamental Equations; 2 Multipole Expansion and Rigid Inclusions; 3 Faxén Relations and Ellipsoidal Inclusions; 4 Load Transfer Problem and Boundary Collocation; 5 Completed Double Layer Boundary Element Method; 6 Numerical Implementation; 7 Some Applications of CDL-BIEM; References; Index by : Nhan Phan-Thien
Download or read book Microstructures in Elastic Media: Fundamental Equations; 2 Multipole Expansion and Rigid Inclusions; 3 Faxén Relations and Ellipsoidal Inclusions; 4 Load Transfer Problem and Boundary Collocation; 5 Completed Double Layer Boundary Element Method; 6 Numerical Implementation; 7 Some Applications of CDL-BIEM; References; Index written by Nhan Phan-Thien and published by . This book was released on with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph describes various methods for solving deformation problems of particulate solids, taking the reader from analytical to computational methods. A primary function of the book will be the presentation of linear elasticity in a language (mathematics) familiar to fluid mechanics.
Book Synopsis Elasticity with Mathematica ® by : Andrei Constantinescu
Download or read book Elasticity with Mathematica ® written by Andrei Constantinescu and published by Cambridge University Press. This book was released on 2012-08-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for researchers, engineers and students in solid mechanics, materials science and physics who are interested in using the power of modern computing to solve a wide variety of problems of both practical and fundamental significance in elasticity. Extensive use of Mathematica in the book makes available to the reader a range of recipes that can be readily adjusted to match particular tastes or requirements, to visualize solutions, and to carry out symbolic and numerical analysis and optimization.
Book Synopsis Problems of Non-linear Elasticity by : Clifford Truesdell
Download or read book Problems of Non-linear Elasticity written by Clifford Truesdell and published by . This book was released on with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuum Mechanics: The mechanical foundations of elasticity and fluid dynamics by : Clifford Truesdell
Download or read book Continuum Mechanics: The mechanical foundations of elasticity and fluid dynamics written by Clifford Truesdell and published by . This book was released on 1966 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fluid Dynamics of Viscoelastic Liquids by : Daniel D. Joseph
Download or read book Fluid Dynamics of Viscoelastic Liquids written by Daniel D. Joseph and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.
Book Synopsis Mathematical Modeling in Continuum Mechanics by : Roger Temam
Download or read book Mathematical Modeling in Continuum Mechanics written by Roger Temam and published by Cambridge University Press. This book was released on 2005-05-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.
Book Synopsis Continuum Mechanics by : Fridtjov Irgens
Download or read book Continuum Mechanics written by Fridtjov Irgens and published by Springer Science & Business Media. This book was released on 2008-01-10 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
