Foundations Of The Theory Of Elasticity Plasticity And Viscoelasticity

Author : Eduard Starovoitov,Faig Bakhman Ogli Naghiyev
Publisher : CRC Press
Page : 320 pages
File Size : 41,9 Mb
Release : 2012-07-18
Category : Science
ISBN : 9781466558793

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Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity by Eduard Starovoitov,Faig Bakhman Ogli Naghiyev Pdf

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.

Author : Ellis H. Dill
Publisher : CRC Press
Page : 382 pages
File Size : 43,9 Mb
Release : 2006-11-10
Category : Science
ISBN : 0849397790

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Continuum Mechanics by Ellis H. Dill Pdf

Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.

Author : Lazarʹ Markovich Kachanov
Publisher : North-Holland
Page : 496 pages
File Size : 42,7 Mb
Release : 1971
Category : Science
ISBN : MINN:31951000777905D

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Foundations of the Theory of Plasticity by Lazarʹ Markovich Kachanov Pdf

Author : Attila Askar
Publisher : World Scientific
Page : 208 pages
File Size : 50,6 Mb
Release : 1986-07-01
Category : Electronic
ISBN : 9789814518956

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Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity by Attila Askar Pdf

This book presents a discussion of lattice dynamics for perfect and imperfect lattices and their relation to continuum theories of elasticity, piezoelectricity, viscoelasticity and plasticity. Some of the material is rather classical and close in spirit to solid state physics. A major aim here is to present a coherent theory for the four basic behavior types in the style of continuum mechanics. In each case, emphasis is on an explicit display of the physical mechanisms involved rather than general formalisms. The material is presented in terms of an atomistic picture for the discrete system. The basic ideas are believed to be relevant also at an intermediate scale in the continuum description of media with structure such as granular materials and composites.

Author : J. N. Goodier,P. G. Hodge, Jr.
Publisher : Courier Dover Publications
Page : 160 pages
File Size : 43,5 Mb
Release : 2016-03-17
Category : Mathematics
ISBN : 9780486810478

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Elasticity and Plasticity by J. N. Goodier,P. G. Hodge, Jr. Pdf

This volume comprises two classic essays on the mathematical theories of elasticity and plasticity by authorities in this area of engineering science. Undergraduate and graduate students in engineering as well as professional engineers will find these works excellent texts and references. The Mathematical Theory of Elasticity covers plane stress and plane strain in the isotropic medium, holes and fillets of assignable shapes, approximate conformal mapping, reinforcement of holes, mixed boundary value problems, the third fundamental problem in two dimensions, eigensolutions for plane and axisymmetric states, anisotropic elasticity, thermal stress, elastic waves induced by thermal shock, three-dimensional contact problems, wave propagation, traveling loads and sources of disturbance, diffraction, and pulse propagation. The Mathematical Theory of Plasticity explores the theory of perfectly plastic solids, the theory of strain-hardening plastic solids, piecewise linear plasticity, minimum principles of plasticity, bending of a circular plate, and other problems.

Author : P.M. Dixit,U.S. Dixit
Publisher : CRC Press
Page : 606 pages
File Size : 55,8 Mb
Release : 2014-10-23
Category : Science
ISBN : 9781466506183

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Plasticity by P.M. Dixit,U.S. Dixit Pdf

Explores the Principles of Plasticity Most undergraduate programs lack an undergraduate plasticity theory course, and many graduate programs in design and manufacturing lack a course on plasticity—leaving a number of engineering students without adequate information on the subject. Emphasizing stresses generated in the material and its effect, Plasticity: Fundamentals and Applications effectively addresses this need. This book fills a void by introducing the basic fundamentals of solid mechanics of deformable bodies. It provides a thorough understanding of plasticity theory, introduces the concepts of plasticity, and discusses relevant applications. Studies the Effects of Forces and Motions on Solids The authors make a point of highlighting the importance of plastic deformation, and also discuss the concepts of elasticity (for a clear understanding of plasticity, the elasticity theory must also be understood). In addition, they present information on updated Lagrangian and Eulerian formulations for the modeling of metal forming and machining. Topics covered include: Stress Strain Constitutive relations Fracture Anisotropy Contact problems Plasticity: Fundamentals and Applications enables students to understand the basic fundamentals of plasticity theory, effectively use commercial finite-element (FE) software, and eventually develop their own code. It also provides suitable reference material for mechanical/civil/aerospace engineers, material processing engineers, applied mechanics researchers, mathematicians, and other industry professionals.

Author : Clifford Truesdell
Publisher : Springer
Page : 668 pages
File Size : 47,6 Mb
Release : 1984
Category : Science
ISBN : STANFORD:36105000616693

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Theory of Viscoelasticity, Plasticity, Elastic Waves, and Elastic Stability by Clifford Truesdell Pdf

Author : H. JANE HELENA
Publisher : PHI Learning Pvt. Ltd.
Page : 264 pages
File Size : 41,9 Mb
Release : 2017-07-01
Category : Technology & Engineering
ISBN : 9788120352834

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THEORY OF ELASTICITY AND PLASTICITY by H. JANE HELENA Pdf

Theory of Elasticity and Plasticity is designed as a textbook for both undergraduate and postgraduate students of engineering in civil, mechanical and aeronautical disciplines. This book has been written with the objective of bringing the concepts of elasticity and plasticity to the students in a simplified and comprehensive manner. The basic concepts, definitions, theory as well as practical applications are discussed in a clear, logical and concise manner for better understanding. Starting with, general relationships between stress, strain and deformations, the book deals with specific problems on plane stress, plane strain and torsion in non-circular sections. Advanced topics such as membrane analogy, beams on elastic foundations and plastic analysis of pressure vessels are also discussed elaborately. For better comprehension, the text is well supported with:  Large number of worked-out examples in each chapter.  Well-labelled illustrations.  Numerous Review Questions that reinforce the understanding of the subject. As all the concepts are covered extensively with a blend of theory and practice, this book will be a useful resource to the students.

Author : V. V. Novozhilov
Publisher : Courier Corporation
Page : 260 pages
File Size : 51,6 Mb
Release : 1999-01-01
Category : Technology & Engineering
ISBN : 0486406849

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Foundations of the Nonlinear Theory of Elasticity by V. V. Novozhilov Pdf

This is an essential book for students and academicians alike. In addition to discussing theory, topics include the connection between stresses and strains in an isotropic elastic body, the geometry of strain, and much more. Deductions are explained in the simplest, most intuitive manner for wide accessibility. 1953 edition.

Author : Paul Steinmann,Kenneth Runesson
Publisher : Springer Nature
Page : 402 pages
File Size : 47,9 Mb
Release : 2021-03-20
Category : Science
ISBN : 9783030636845

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The Catalogue of Computational Material Models by Paul Steinmann,Kenneth Runesson Pdf

This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options.

Author : Maurice Anthony Biot
Publisher : Unknown
Page : 536 pages
File Size : 40,6 Mb
Release : 1965
Category : Elasticity
ISBN : STANFORD:36105024122686

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Mechanics of Incremental Deformations by Maurice Anthony Biot Pdf

Author : Irving H Shames
Publisher : CRC Press
Page : 740 pages
File Size : 51,7 Mb
Release : 1997-02-01
Category : Science
ISBN : 9781560326861

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Elastic And Inelastic Stress Analysis by Irving H Shames Pdf

Presents certain key aspects of inelastic solid mechanics centered around viscoelasticity, creep, viscoplasticity, and plasticity. It is divided into three parts consisting of the fundamentals of elasticity, useful constitutive laws, and applications to simple structural members, providing extended treatment of basic problems in static structural mechanics, including elastic and inelastic effects. It contains worked-out examples and end-of-chapter problems.

Author : Jerrold E. Marsden,Thomas J. R. Hughes
Publisher : Courier Corporation
Page : 578 pages
File Size : 44,5 Mb
Release : 2012-10-25
Category : Technology & Engineering
ISBN : 9780486142272

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Mathematical Foundations of Elasticity by Jerrold E. Marsden,Thomas J. R. Hughes Pdf

Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

Author : Albrecht Bertram
Publisher : Springer Nature
Page : 410 pages
File Size : 49,7 Mb
Release : 2021-04-07
Category : Science
ISBN : 9783030723286

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Elasticity and Plasticity of Large Deformations by Albrecht Bertram Pdf

This book presents an introduction to material theory and, in particular, to elasticity, plasticity and viscoelasticity, to bring the reader close to the frontiers of today’s knowledge in these particular fields. It starts right from the beginning without assuming much knowledge of the subject. Hence, the book is generally comprehensible to all engineers, physicists, mathematicians, and others. At the beginning of each new section, a brief Comment on the Literature contains recommendations for further reading. This book includes an updated reference list and over 100 changes throughout the book. It contains the latest knowledge on the subject. Two new chapters have been added in this new edition. Now finite viscoelasticity is included, and an Essay on gradient materials, which have recently drawn much attention.

Author : A.I. Lurie
Publisher : Springer
Page : 1050 pages
File Size : 53,9 Mb
Release : 2005-03-30
Category : Technology & Engineering
ISBN : OCLC:934485638

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Theory of Elasticity by A.I. Lurie Pdf

The classical theory of elasticity maintains a place of honour in the science ofthe behaviour ofsolids. Its basic definitions are general for all branches of this science, whilst the methods forstating and solving these problems serve as examples of its application. The theories of plasticity, creep, viscoelas ticity, and failure of solids do not adequately encompass the significance of the methods of the theory of elasticity for substantiating approaches for the calculation of stresses in structures and machines. These approaches constitute essential contributions in the sciences of material resistance and structural mechanics. The first two chapters form Part I of this book and are devoted to the basic definitions ofcontinuum mechanics; namely stress tensors (Chapter 1) and strain tensors (Chapter 2). The necessity to distinguish between initial and actual states in the nonlinear theory does not allow one to be content with considering a single strain measure. For this reason, it is expedient to introduce more rigorous tensors to describe the stress-strain state. These are considered in Section 1.3 for which the study of Sections 2.3-2.5 should precede. The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9.