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Theory Of Elasticity For Scientists And Engineers

Author: Teodor M. Atanackovic
Publisher: Springer Science & Business Media
ISBN: 1461213304
Size: 62.77 MB
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This book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.

Elasticity

Author: J. R. Barber
Publisher: Springer Science & Business Media
ISBN: 9048138086
Size: 58.35 MB
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The subject of Elasticity can be approached from several points of view, - pending on whether the practitioner is principally interested in the mat- matical structure of the subject or in its use in engineering applications and, in the latter case, whether essentially numerical or analytical methods are envisaged as the solution method. My ?rst introduction to the subject was in response to a need for information about a speci?c problem in Tribology. As a practising Engineer with a background only in elementary Mechanics of - terials, I approached that problem initially using the concepts of concentrated forces and superposition. Today, with a rather more extensive knowledge of analytical techniques in Elasticity, I still ?nd it helpful to go back to these roots in the elementary theory and think through a problem physically as well as mathematically, whenever some new and unexpected feature presents di?culties in research. This way of thinking will be found to permeate this book. My engineering background will also reveal itself in a tendency to work examples through to ?nal expressions for stresses and displacements, rather than leave the derivation at a point where the remaining manipulations would be mathematically routine. The ?rst edition of this book, published in 1992, was based on a one semester graduate course on Linear Elasticity that I have taught at the U- versity of Michigan since 1983.

Foundations Of The Theory Of Elasticity Plasticity And Viscoelasticity

Author: Eduard Starovoitov
Publisher: CRC Press
ISBN: 1466558792
Size: 41.18 MB
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Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity. The book includes all modern methods of research as well as the results of the authors’ recent work and is presented with sufficient mathematical strictness and proof. The first six chapters are devoted to the foundations of the theory of elasticity. Theory of stress-strain state, physical relations and problem statements, variation principles, contact and 2D problems, and the theory of plates are presented, and the theories are accompanied by examples of solving typical problems. The last six chapters will be useful to postgraduates and scientists engaged in nonlinear mechanics of deformed inhomogeneous bodies. The foundations of the modern theory of plasticity (general, small elastoplastic deformations and the theory of flow), linear, and nonlinear viscoelasticity are set forth. Corresponding research of three-layered circular plates of various materials is included to illustrate methods of problem solving. Analytical solutions and numerical results for elastic, elastoplastic, lineaer viscoelastic and viscoelastoplastic plates are also given. Thermoviscoelastoplastic characteristics of certain materials needed for numerical account are presented in the eleventh chapter. The informative book is intended for scientists, postgraduates and higher-level students of engineering spheres and will provide important practical skills and approaches.

An Introduction To The Theory Of Elasticity

Author: R. J. Atkin
Publisher: Courier Corporation
ISBN: 0486150992
Size: 45.78 MB
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Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.

Theory Of Elasticity

Author: Mikhail Filonenko-Borodich
Publisher:
ISBN: 9781410209351
Size: 59.77 MB
Format: PDF, ePub, Docs
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The theory of elasticity developed as a science due to the necessity of having theoretical methods for calculating the strength of parts of structures and machines. At present the theory of elasticity is a branch of mathematical physics that must be at the finger tips both of engineers and scientists studying the strength of structures and machines. The book Theory of Elasticity is a textbook for students of higher technical schools of the Soviet Union. It contains matter on the theory of stresses, the geometrical theory of strain, the torsion of prismatic bars and the bending of plates. It sets forth the theoretical fundamentals of the solution of elasticity problems in terms of displacement and stresses and shows the general methods of solving problems in the theory of elasticity. The book considers plane problems in Cartesian and in polar coordinates. In conclusion the author deals with the variational methods of elasticity.

Classical And Computational Solid Mechanics

Author: Y C Fung
Publisher: World Scientific Publishing Company
ISBN: 9813102829
Size: 24.44 MB
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This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. The classical part is a revision of the well-known text Foundations of Solid Mechanics, with a much-expanded discussion on the theories of plasticity and large elastic deformation with finite strains. The computational part is all new and is aimed at solving many major linear and nonlinear boundary-value problems.

A History Of Technoscience

Author: David F. Channell
Publisher: Routledge
ISBN: 1351977407
Size: 44.27 MB
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Are science and technology independent of one another? Is technology dependent upon science, and if so, how is it dependent? Is science dependent upon technology, and if so how is it dependent? Or, are science and technology becoming so interdependent that the line dividing them has become totally erased? This book charts the history of technoscience from the late nineteenth century to the end of the twentieth century and shows how the military–industrial–academic complex and big science combined to create new examples of technoscience in such areas as the nuclear arms race, the space race, the digital age, and the new worlds of nanotechnology and biotechnology.

Strength Of Materials And Theory Of Elasticity In 19th Century Italy

Author: Danilo Capecchi
Publisher: Springer
ISBN: 3319055240
Size: 26.66 MB
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This book examines the theoretical foundations underpinning the field of strength of materials/theory of elasticity, beginning from the origins of the modern theory of elasticity. While the focus is on the advances made within Italy during the nineteenth century, these achievements are framed within the overall European context. The vital contributions of Italian mathematicians, mathematical physicists and engineers in respect of the theory of elasticity, continuum mechanics, structural mechanics, the principle of least work and graphical methods in engineering are carefully explained and discussed. The book represents a work of historical research that primarily comprises original contributions and summaries of work published in journals. It is directed at those graduates in engineering, but also in architecture, who wish to achieve a more global and critical view of the discipline and will also be invaluable for all scholars of the history of mechanics.

Theory And Analysis Of Elastic Plates And Shells Second Edition

Author: J. N. Reddy
Publisher: CRC Press
ISBN: 9780849384158
Size: 11.40 MB
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Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics. Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists.