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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 | : Esben Byskov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 601 |
| Release | : 2013-02-03 |
| Genre | : Science |
| ISBN | : 9400757662 |
The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.
| 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 | : Sumio Murakami |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 420 |
| Release | : 2012-02-24 |
| Genre | : Technology & Engineering |
| ISBN | : 9400726651 |
Recent 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.
| Author | : Antonio Romano |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 353 |
| Release | : 2010-07-23 |
| Genre | : Science |
| ISBN | : 0817648704 |
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.
