Continuum Mechanics Using Mathematica
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Continuum Mechanics Using Mathematica
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Author : Antonio Romano
language : en
Publisher: Springer
Release Date : 2014-10-14
Continuum Mechanics Using Mathematica written by Antonio Romano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-14 with Science categories.
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.
Continuum Mechanics Using Mathematica
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Author : Antonio Romano
language : en
Publisher: Birkhäuser
Release Date : 2008-11-01
Continuum Mechanics Using Mathematica written by Antonio Romano and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 with Science categories.
This book examines mathematical tools, principles, and fundamental applications of continuum mechanics, providing a solid basis for a deeper study of more challenging problems in elasticity, fluid mechanics, plasticity, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes. The work is suitable for advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering.
Continuum Mechanics
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Author : Antonio Romano
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-23
Continuum Mechanics written by Antonio Romano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with Science categories.
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.
Elasticity With Mathematica
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Author : Andrei Constantinescu
language : en
Publisher: Cambridge University Press
Release Date : 2007-10-08
Elasticity With Mathematica written by Andrei Constantinescu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-08 with Science categories.
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.
Foundations Of Fluid Mechanics With Applications
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Author : Sergey P. Kiselev
language : en
Publisher: Birkhäuser
Release Date : 2017-11-02
Foundations Of Fluid Mechanics With Applications written by Sergey P. Kiselev and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Mathematics categories.
This textbook presents the basic concepts and methods of fluid mechanics, including Lagrangian and Eulerian descriptions, tensors of stresses and strains, continuity, momentum, energy, thermodynamics laws, and similarity theory. The models and their solutions are presented within a context of the mechanics of multiphase media. The treatment fully utilizes the computer algebra and software system Mathematica® to both develop concepts and help the reader to master modern methods of solving problems in fluid mechanics. Topics and features: Glossary of over thirty Mathematica® computer programs Extensive, self-contained appendix of Mathematica® functions and their use Chapter coverage of mechanics of multiphase heterogeneous media Detailed coverage of theory of shock waves in gas dynamics Thorough discussion of aerohydrodynamics of ideal and viscous fluids an d gases Complete worked examples with detailed solutions Problem-solving approach Foundations of Fluid Mechanics with Applications is a complete and accessible text or reference for graduates and professionals in mechanics, applied mathematics, physical sciences, materials science, and engineering. It is an essential resource for the study and use of modern solution methods for problems in fluid mechanics and the underlying mathematical models. The present, softcover reprint is designed to make this classic textbook available to a wider audience.
Micromechanics With Mathematica
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Author : Seiichi Nomura
language : en
Publisher: John Wiley & Sons
Release Date : 2016-05-02
Micromechanics With Mathematica written by Seiichi Nomura and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-02 with Science categories.
Demonstrates the simplicity and effectiveness of Mathematica as the solution to practical problems in composite materials. Designed for those who need to learn how micromechanical approaches can help understand the behaviour of bodies with voids, inclusions, defects, this book is perfect for readers without a programming background. Thoroughly introducing the concept of micromechanics, it helps readers assess the deformation of solids at a localized level and analyse a body with microstructures. The author approaches this analysis using the computer algebra system Mathematica, which facilitates complex index manipulations and mathematical expressions accurately. The book begins by covering the general topics of continuum mechanics such as coordinate transformations, kinematics, stress, constitutive relationship and material symmetry. Mathematica programming is also introduced with accompanying examples. In the second half of the book, an analysis of heterogeneous materials with emphasis on composites is covered. Takes a practical approach by using Mathematica, one of the most popular programmes for symbolic computation Introduces the concept of micromechanics with worked-out examples using Mathematica code for ease of understanding Logically begins with the essentials of the topic, such as kinematics and stress, before moving to more advanced areas Applications covered include the basics of continuum mechanics, Eshelby's method, analytical and semi-analytical approaches for materials with inclusions (composites) in both infinite and finite matrix media and thermal stresses for a medium with inclusions, all with Mathematica examples Features a problem and solution section on the book’s companion website, useful for students new to the programme
Elasticity With Mathematica
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Author : Andrei Constantinescu
language : en
Publisher:
Release Date : 2014-05-14
Elasticity With Mathematica written by Andrei Constantinescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Science categories.
This book, first published in 2007, introduces key ideas and principles in the theory of elasticity with the help of symbolic computation. Differential and integral operators on vector and tensor fields of displacements, strains and stresses are considered on a consistent and rigorous basis with respect to curvilinear orthogonal coordinate systems. As a consequence, vector and tensor objects can be manipulated readily, and fundamental concepts can be illustrated and problems solved with ease. The method is illustrated using a variety of plane and three-dimensional elastic problems. General theorems, fundamental solutions, displacements and stress potentials are presented and discussed. The Rayleigh-Ritz method for obtaining approximate solutions is introduced for elastostatic and spectral analysis problems. Containing more than 60 exercises and solutions in the form of Mathematica notebooks that accompany every chapter, the reader can learn and master the techniques while applying them to a large range of practical and fundamental problems.
Elements Of Continuum Mechanics And Thermodynamics
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Author : Joanne L. Wegner
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-13
Elements Of Continuum Mechanics And Thermodynamics written by Joanne L. Wegner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-13 with Science categories.
This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.
Foundations Of Fluid Mechanics With Applications
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Author : Sergey P. Kiselev
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-12
Foundations Of Fluid Mechanics With Applications written by Sergey P. Kiselev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12 with Computers categories.
This book presents the basic concepts of continuum mechanics. The material is presented in a tensor invariant form with a large number of problems with solutions. The book integrates the use of the computer algebra system Mathematica, and contains a large number of programs on the disk that will help clarify the concepts of continuum mechanics.
Geotechnical Engineering
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Author : Renato Lancellotta
language : en
Publisher: CRC Press
Release Date : 2008-07-22
Geotechnical Engineering written by Renato Lancellotta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-22 with Technology & Engineering categories.
Suitable for undergraduates in geotechnical engineering and for use by graduate students, this book explores not only the basics but also several advanced aspects of soil behaviour. Readers gain a good grasp of applied mechanics, testing and experimentation, and methods for observing real structures. Numerous worked examples are included, as is essential reading for students at the end of each chapter.Selected contents:1. Nature and composition of soils 2. Principles of continuum mechanics 3. Constitutive models 4. The porous medium 5. Mechanical behaviour of soils 6. Flow in porous media 7. In situ investigations 8. The collapse of soil structures 9. Performance and serviceability o