Foundations and Applications of Mechanics: Continuum mechanics
Author: C. S. Jog
Publisher: CRC Press
Published: 2002
Total Pages: 280
ISBN-13: 9780849324147
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Continuum Mechanics
Author: C. S. Jog
Publisher: Cambridge University Press
Published: 2015-06-25
Total Pages: 877
ISBN-13: 1107091357
DOWNLOAD EBOOKMoving on to derivation of the governing equations, this book presents applications in the areas of linear and nonlinear elasticity.
Fluid Mechanics
Author: C. S. Jog
Publisher: Cambridge University Press
Published: 2015-06-25
Total Pages: 591
ISBN-13: 1107091292
DOWNLOAD EBOOKThe book examines the role of thermodynamical aspects to derive governing equations and studies applications involving potential and viscous flows.
Foundations And Applications of Mechanics
Author: C. S. Jog
Publisher: Alpha Science International Limited
Published: 2002
Total Pages: 254
ISBN-13: 9781842651025
DOWNLOAD EBOOKAfter 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.
Foundations and Applications of Mechanics: Fluid mechanics
Author: C. S. Jog
Publisher: CRC Press
Published: 2002
Total Pages: 454
ISBN-13: 9780849324130
DOWNLOAD EBOOKFoundations 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.
The Foundations of Mechanics and Thermodynamics
Author: W. Noll
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 330
ISBN-13: 3642658172
DOWNLOAD EBOOKGerman 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.
Continuum Damage Mechanics
Author: Sumio Murakami
Publisher: Springer Science & Business Media
Published: 2012-02-24
Total Pages: 420
ISBN-13: 9400726651
DOWNLOAD EBOOKRecent developments in engineering and technology have brought about serious and enlarged demands for reliability, safety and economy in wide range of fields such as aeronautics, nuclear engineering, civil and structural engineering, automotive and production industry. This, in turn, has caused more interest in continuum damage mechanics and its engineering applications. This book aims to give a concise overview of the current state of damage mechanics, and then to show the fascinating possibility of this promising branch of mechanics, and to provide researchers, engineers and graduate students with an intelligible and self-contained textbook. The book consists of two parts and an appendix. Part I is concerned with the foundation of continuum damage mechanics. Basic concepts of material damage and the mechanical representation of damage state of various kinds are described in Chapters 1 and 2. In Chapters 3-5, irreversible thermodynamics, thermodynamic constitutive theory and its application to the modeling of the constitutive and the evolution equations of damaged materials are descried as a systematic basis for the subsequent development throughout the book. Part II describes the application of the fundamental theories developed in Part I to typical damage and fracture problems encountered in various fields of the current engineering. Important engineering aspects of elastic-plastic or ductile damage, their damage mechanics modeling and their further refinement are first discussed in Chapter 6. Chapters 7 and 8 are concerned with the modeling of fatigue, creep, creep-fatigue and their engineering application. Damage mechanics modeling of complicated crack closure behavior in elastic-brittle and composite materials are discussed in Chapters 9 and 10. In Chapter 11, applicability of the local approach to fracture by means of damage mechanics and finite element method, and the ensuing mathematical and numerical problems are briefly discussed. A proper understanding of the subject matter requires knowledge of tensor algebra and tensor calculus. At the end of this book, therefore, the foundations of tensor analysis are presented in the Appendix, especially for readers with insufficient mathematical background, but with keen interest in this exciting field of mechanics.
Fundamentals of Continuum Mechanics
Author: Stephen Bechtel
Publisher: Academic Press
Published: 2014-12-02
Total Pages: 347
ISBN-13: 0123948347
DOWNLOAD EBOOKFundamentals 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
Fundamentals of Continuum Mechanics
Author: John W. Rudnicki
Publisher: John Wiley & Sons
Published: 2014-09-22
Total Pages: 229
ISBN-13: 1118927672
DOWNLOAD EBOOKA 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
Foundations of Fluid Mechanics with Applications
Author: Sergey P. Kiselev
Publisher: Birkhäuser
Published: 2017-11-02
Total Pages: 588
ISBN-13: 3319661493
DOWNLOAD EBOOKThis 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.
