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| Author | : C. S. Jog |
| Publisher | : Cambridge University Press |
| Total Pages | : 877 |
| Release | : 2015-06-25 |
| Genre | : Science |
| ISBN | : 1107091357 |
Moving on to derivation of the governing equations, this book presents applications in the areas of linear and nonlinear elasticity.
| Author | : C. S. Jog |
| Publisher | : CRC Press |
| Total Pages | : 280 |
| Release | : 2002 |
| Genre | : Continuum mechanics |
| ISBN | : 9780849324147 |
| Author | : C. S. Jog |
| Publisher | : Cambridge University Press |
| Total Pages | : 591 |
| Release | : 2015-06-25 |
| Genre | : Science |
| ISBN | : 1107091292 |
The book examines the role of thermodynamical aspects to derive governing equations and studies applications involving potential and viscous flows.
| Author | : C. S. Jog |
| Publisher | : CRC Press |
| Total Pages | : 454 |
| Release | : 2002 |
| Genre | : Science |
| ISBN | : 9780849324130 |
Foundations and Applications of Mechanics: Volume II, Fluid Mechanics shows how suitable approximations such as ideal fluid flow model, boundary layer methods, and the acoustic approximation, can help solve problems of practical importance. The author proceeds from the general to the particular, making it clear at each stage what assumptions have been made to obtain a particular approximation. In his discussion of compressible fluids, Jog steers away from using gas tables and emphasizes obtaining solutions by numerical techniques - an approach more amenable to computer solutions. He discusses the control volume and the differential equation forms of governing equations in detail and uses examples to demonstrate the advantages and shortcomings of each approach.
| Author | : C. S. Jog |
| Publisher | : Alpha Science International Limited |
| Total Pages | : 254 |
| Release | : 2002 |
| Genre | : Science |
| ISBN | : 9781842651025 |
After providing the necessary mathematical background needed, the book discusses kinematics, governing equations and constitutive relations for simple materials. Major emphasis is laid on discussing relatively recent ideas such as material frame-indifference, the implications of the second law of thermodynamics, material symmetry etc. The text shows how, under suitable assumptions, the classical theories of fluid mechanics, solid mechanics (including the linear theory of elasticity), and rigid-body dynamics follow form the general continuum equations. While maintaining mathematical rigor the book maintains the link between mathematics and physical reality by presenting examples. This book intended as an advanced undergraduate (or a graduate level) textbook in continuum mechanics and its applications.
| Author | : Stephen Bechtel |
| Publisher | : Academic Press |
| Total Pages | : 347 |
| Release | : 2014-12-02 |
| Genre | : Science |
| ISBN | : 0123948347 |
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 | : W. Noll |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 330 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642658172 |
German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.
| Author | : Sergey P. Kiselev |
| Publisher | : Birkhäuser |
| Total Pages | : 588 |
| Release | : 2017-11-02 |
| Genre | : Mathematics |
| ISBN | : 3319661493 |
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.
| Author | : Karan S. Surana |
| Publisher | : CRC Press |
| Total Pages | : 829 |
| Release | : 2022-01-24 |
| Genre | : Science |
| ISBN | : 1000512347 |
This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua. Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics. This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.
| Author | : C. S. Jog |
| Publisher | : |
| Total Pages | : 464 |
| Release | : 2007 |
| Genre | : Fluid dynamics |
| ISBN | : 9788173198731 |
