Download or read book Cartesian tensors and the equations of solid mechanics written by K. B. M. Nambudiripad and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory and Practice of Solid Mechanics written by Thomas Dawson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for use by engineers and scientists who have a need for an introduction to advanced topics in solid mechanics. It deals with modern concepts of continuum mechanics as well as with details of the classical theories of elasticity, thermal elasticity, viscous elasticity, and plasticity of solids. The book assumes no prior knowledge of the mechanics of solids and develops the subject entirely from first principles. Rigorous derivations of governing equations are also followed by applications to a number of basic and practical problems. Cartesian tensors are used throughout the book to express mathematical concepts in a clear and concise fashion. Chapter I, accordingly, provides a discussion of this topic for those readers not already familiar with it. This material is then followed by detailed discussions in Chapters 2 and 3 of the kinematics of continuum motion and the fundamental principles of mass conservation and momentum balance. Unlike traditional treatments, this material is first developed for the general large-deformation case and only then restricted to small deformations for use in the usual engineering appli cations. In this way the reader thus gets a fuller picture of the basic governing relations of solid mechanics.
Download or read book Cartesian Tensors in Engineering Science written by L. G. Jaeger and published by Elsevier. This book was released on 2016-06-06 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cartesian Tensors in Engineering Science provides a comprehensive discussion of Cartesian tensors. The engineer, when working in three dimensions, often comes across quantities which have nine components. Variation of the components in a given plane may be shown graphically by a familiar construction called Mohr's circle. For such quantities it is always possible to find three mutually perpendicular axes, called principal axes, with respect to which the six ""paired up"" components are all zero. Such quantities are called symmetric tensors of the second order. The student may at this stage be struck by the fact that the physical quantities with which he normally deals have either one component, three components or nine components, being respectively scalars, vectors, and what have just been called second order tensors. The family of quantities having 1, 3, 9, 27, ... components does exist. It is the tensor family in three dimensions. The book discusses the ""tests"" a given quantity must pass in order to qualify as a member of the family. The products of tensors, elasticity, and second moment of area and moment of inertia are also covered. Although written primarily for engineers, it is hoped that students of various branches of physical science may find this book useful.
Download or read book Vectors Tensors and the Basic Equations of Fluid Mechanics written by Rutherford Aris and published by Courier Corporation. This book was released on 2012-08-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.
Download or read book Solid Mechanics written by J.P. Ward and published by Springer Science & Business Media. This book was released on 1992-08-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introductory text on Solid Mechanics suitable for engineers, scientists and applied mathematicians. Solid mechanics is treated as a subset of mathematical engineering and courses on this topic which include theoretical, numerical and experimental aspects (as this text does) can be amongst the most interesting and accessible that an undergraduate science student can take. I have concentrated entirely on linear elasticity being, to the beginner, the most amenable and accessible aspect of solid mechanics. It is a subject with a long history, though its development in relatively recent times can be traced back to Hooke (circa 1670). Partly because of its long history solid mechanics has an 'old fashioned' feel to it which is reflected in numerous texts written on the subject. This is particularly so in the classic text by Love (A Treatise on the Mathematical Theory of Elasticity 4th ed., Cambridge, Univ. Press, 1927). Although there is a wealth of information in that text it is not in a form which is easily accessible to the average lecturer let alone the average engineering student. This classic style avoiding the use of vectors or tensors has been mirrored in many other more 'modern' texts.
Download or read book Continuum Mechanics written by A. J. M. Spencer and published by Courier Corporation. This book was released on 2012-06-08 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.
Download or read book Elasticity written by Pei Chi Chou and published by Courier Corporation. This book was released on 2013-02-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exceptionally clear text treats elasticity from engineering and mathematical viewpoints. Comprehensive coverage of stress, strain, equilibrium, compatibility, Hooke's law, plane problems, torsion, energy, stress functions, more. 114 illustrations. 1967 edition.
Download or read book Mathematical Theory of Continuum Mechanics written by Rabindranath Chatterjee and published by Alpha Science Int'l Ltd.. This book was released on 1999 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides an introduction to the theory of continuum mechanics in a logically satisfying form. A simple knowledge of Cartesian tensors is a sufficient prerequisite for this book. The book deals with two major branches of continuum mechanics - the mechanics of elastic solids and the mechanics of fluids providing the basis of civil and mechanical engineering, applied mathematics and physics. Traditional courses in solid mechanics and fluid mechanics are usually taught separately with emphasis on physical behaviour at the cost of rigorous mathematical foundation neglecting the analogies between solids and fluids. The book brings two disciplines under one roof seeking to generalize and unify specialized topics.
Download or read book A First Course in Continuum Mechanics written by Yuan-cheng Fung and published by Prentice Hall. This book was released on 1977 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tensor Analysis and Continuum Mechanics written by Wilhelm Flügge and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject.
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.
Download or read book Cartesian Tensors written by A. M. Goodbody and published by Ellis Horwood. This book was released on 1982 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Continuum Mechanics for Engineers written by G. Thomas Mase and published by CRC Press. This book was released on 2009-07-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics for Engineers, Third Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. The impetus for this latest edition was the need to suitably combine the introduction of continuum mechanics, linear and nonlinear elasticity, and viscoelasticity for a graduate-leve
Download or read book Applications of Tensor Functions in Solid Mechanics written by J.P. Boehler and published by Springer. This book was released on 2014-05-04 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Continuum Mechanics written by Sudhakar Nair and published by Cambridge University Press. This book was released on 2009-03-16 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practise. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modelling of material behaviour.
Download or read book Applied Elasticity written by J D Renton and published by Elsevier. This book was released on 2002-12-30 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated version covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987. It emphasises 3-dimensional elasticity, concisely covering this important subject studied in most universities by filling the gap between a mathematical and the engineering approach. Based on the author's extensive research experience, it reflects the need for more sophisticated methods of elastic analysis than is usually taught at undergraduate level. The subject is presented at the level of sophistication for engineers with mathematical knowledge and those familiar with matrices. Readers wary of tensor notation will find help in the opening chapter. As his text progresses, the author uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis. Relatively inaccessible material with important applications receives special attention, e.g. Russian work on anisotropic materials, the technique of thermal imaging of strain, and an analysis of the San Andreas fault. Tensor equations are given in straightforward notation to provide a physical grounding and assist comprehension, and there are useful tables for the solution of problems. Covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987 Emphasises 3-dimensional elasticity and fills the gap between a mathematical and engineering approach Uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis
Download or read book Tensor Analysis and Continuum Mechanics written by Y.R. Talpaert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for students in engineering, physics and mathematics. The material can be taught from the beginning of the third academic year. It could also be used for self study, given its pedagogical structure and the numerous solved problems which prepare for modem physics and technology. One of the original aspects of this work is the development together of the basic theory of tensors and the foundations of continuum mechanics. Why two books in one? Firstly, Tensor Analysis provides a thorough introduction of intrinsic mathematical entities, called tensors, which is essential for continuum mechanics. This way of proceeding greatly unifies the various subjects. Only some basic knowledge of linear algebra is necessary to start out on the topic of tensors. The essence of the mathematical foundations is introduced in a practical way. Tensor developments are often too abstract, since they are either aimed at algebraists only, or too quickly applied to physicists and engineers. Here a good balance has been found which allows these extremes to be brought closer together. Though the exposition of tensor theory forms a subject in itself, it is viewed not only as an autonomous mathematical discipline, but as a preparation for theories of physics and engineering. More specifically, because this part of the work deals with tensors in general coordinates and not solely in Cartesian coordinates, it will greatly help with many different disciplines such as differential geometry, analytical mechanics, continuum mechanics, special relativity, general relativity, cosmology, electromagnetism, quantum mechanics, etc ..
