Plasticity Theory

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Plasticity Theory

Jacob Lubliner
Plasticity Theory Book PDF

Author : Jacob Lubliner
Publisher : Courier Corporation
Page : 548 pages
File Size : 50,9 Mb
Release : 2013-04-22
Category : Technology & Engineering
ISBN : 9780486318202

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Plasticity Theory by Jacob Lubliner Pdf

The aim of Plasticity Theory is to provide a comprehensive introduction to the contemporary state of knowledge in basic plasticity theory and to its applications. It treats several areas not commonly found between the covers of a single book: the physics of plasticity, constitutive theory, dynamic plasticity, large-deformation plasticity, and numerical methods, in addition to a representative survey of problems treated by classical methods, such as elastic-plastic problems, plane plastic flow, and limit analysis; the problem discussed come from areas of interest to mechanical, structural, and geotechnical engineers, metallurgists and others. The necessary mathematics and basic mechanics and thermodynamics are covered in an introductory chapter, making the book a self-contained text suitable for advanced undergraduates and graduate students, as well as a reference for practitioners of solid mechanics.

Theory of Plasticity

Jagabanduhu Chakrabarty
Theory of Plasticity Book PDF

Author : Jagabanduhu Chakrabarty
Publisher : Elsevier
Page : 896 pages
File Size : 54,5 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780080481364

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Theory of Plasticity by Jagabanduhu Chakrabarty Pdf

Plasticity is concerned with the mechanics of materials deformed beyond their elastic limit. A strong knowledge of plasticity is essential for engineers dealing with a wide range of engineering problems, such as those encountered in the forming of metals, the design of pressure vessels, the mechanics of impact, civil and structural engineering, as well as the understanding of fatigue and the economical design of structures. Theory of Plasticity is the most comprehensive reference on the subject as well as the most up to date -- no other significant Plasticity reference has been published recently, making this of great interest to academics and professionals. This new edition presents extensive new material on the use of computational methods, plus coverage of important developments in cyclic plasticity and soil plasticity. A complete plasticity reference for graduate students, researchers and practicing engineers; no other book offers such an up to date or comprehensive reference on this key continuum mechanics subject Updates with new material on computational analysis and applications, new end of chapter exercises Plasticity is a key subject in all mechanical engineering disciplines, as well as in manufacturing engineering and civil engineering. Chakrabarty is one of the subject's leading figures.

Computational Methods for Plasticity

Eduardo A. de Souza Neto,Djordje Peric,David R. J. Owen
Computational Methods for Plasticity Book PDF

Author : Eduardo A. de Souza Neto,Djordje Peric,David R. J. Owen
Publisher : John Wiley & Sons
Page : 718 pages
File Size : 52,5 Mb
Release : 2011-09-21
Category : Science
ISBN : 9781119964544

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Computational Methods for Plasticity by Eduardo A. de Souza Neto,Djordje Peric,David R. J. Owen Pdf

The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic – i.e. those that undergo a permanent change of shape in response to an applied force. Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book: Offers a self-contained text that allows the reader to learn computational plasticity theory and its implementation from one volume. Includes many numerical examples that illustrate the application of the methodologies described. Provides introductory material on related disciplines and procedures such as tensor analysis, continuum mechanics and finite elements for non-linear solid mechanics. Is accompanied by purpose-developed finite element software that illustrates many of the techniques discussed in the text, downloadable from the book’s companion website. This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics.

Plasticity

Weimin Han,B. Daya Reddy
Plasticity Book PDF

Author : Weimin Han,B. Daya Reddy
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 48,7 Mb
Release : 2012-11-19
Category : Mathematics
ISBN : 9781461459408

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Plasticity by Weimin Han,B. Daya Reddy Pdf

This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis. Reviews of earlier edition: “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002) “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis." (Math Reviews)

Principles of Hyperplasticity

Guy T. Houlsby,Alexander M. Puzrin
Principles of Hyperplasticity Book PDF

Author : Guy T. Houlsby,Alexander M. Puzrin
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 41,6 Mb
Release : 2007-04-18
Category : Technology & Engineering
ISBN : 9781846282409

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Principles of Hyperplasticity by Guy T. Houlsby,Alexander M. Puzrin Pdf

The approach to plasticity theory developed here is firmly rooted in thermodynamics. Emphasis is placed on the use of potentials and the derivation of incremental response, necessary for numerical analysis. The derivation of constitutive models for irreversible behaviour entirely from two scalar potentials is shown. The use of potentials allows models to be very simply defined, classified and, if necessary, developed and it permits dependent and independent variables to be interchanged, making possible different forms of a model for different applications. The theory is extended to include treatment of rate-dependent materials and a powerful concept, in which a single plastic strain is replaced by a plastic strain function, allowing smooth transitions between elastic and plastic behaviour is introduced. This monograph will benefit academic researchers in mechanics, civil engineering and geomechanics and practising geotechnical engineers; it will also interest numerical analysts in engineering mechanics.

A Course on Plasticity Theory

David Steigmann
A Course on Plasticity Theory Book PDF

Author : David Steigmann
Publisher : Oxford University Press
Page : 209 pages
File Size : 40,9 Mb
Release : 2023-01-20
Category : Continuum mechanics
ISBN : 9780192883155

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A Course on Plasticity Theory by David Steigmann Pdf

Plasticity Theory is characterized by many competing and often incompatible points of view. This book seeks to strengthen the foundations of continuum plasticity theory, emphasizing a unifying perspective grounded in the fundamental notion of material symmetry. Steigmann's book offers a systematic framework for the proper understanding of established models of plasticity and for their modern extensions and generalizations. Particular emphasis is placed on the differential-geometric aspects of the subject and their role in illuminating the conceptual foundations of plasticity theory. Classical models, together with several subjects of interest in contemporary research, are developed in a unified format. The book is addressed to graduate students and academics working in the field of continuum mechanics.

Theory of Metal Forming Plasticity

Andrzej Sluzalec
Theory of Metal Forming Plasticity Book PDF

Author : Andrzej Sluzalec
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 53,9 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662104491

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Theory of Metal Forming Plasticity by Andrzej Sluzalec Pdf

The intention of this book is to reveal and discuss some aspects of the metal fo- ing plasticity theory. The modern theory describes deformation of metallic bodies in cold and hot regimes under combined thermal and mechanical loadings. Th- mal and deformation fields appear in metal forming in various forms. A thermal field influences the material properties, modifies the extent of plastic zones, etc. and the deformation of metallic body induces changes in temperature distribution. The thermal effects in metal forming plasticity can be studied at two levels, - pending on whether uncoupled or coupled theories of thermo-plastic response have to be applied. A majority of metal forming processes can be satisfactorily studied within an uncoupled theory. In such an approach the temperature enters the stress-strain relation through the material constants and through the thermal dilatation. The description of thermo-plastic deformation in metal forming is c- ried out on the ground of thermodynamics.

Continuum Theory of Plasticity

Akhtar S. Khan,Sujian Huang
Continuum Theory of Plasticity Book PDF

Author : Akhtar S. Khan,Sujian Huang
Publisher : John Wiley & Sons
Page : 434 pages
File Size : 44,9 Mb
Release : 1995-02-28
Category : Science
ISBN : 0471310433

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Continuum Theory of Plasticity by Akhtar S. Khan,Sujian Huang Pdf

The only modern, up-to-date introduction to plasticity Despite phenomenal progress in plasticity research over the past fifty years, introductory books on plasticity have changed very little. To meet the need for an up-to-date introduction to the field, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity--a truly modern text which offers a continuum mechanics approach as well as a lucid presentation of the essential classical contributions. The early chapters give the reader a review of elementary concepts of plasticity, the necessary background material on continuum mechanics, and a discussion of the classical theory of plasticity. Recent developments in the field are then explored in sections on the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and numerous topics in finite deformation plasticity theory and strain space formulation for plastic deformation. Final chapters introduce the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. For graduate students and researchers in engineering mechanics, mechanical, civil, and aerospace engineering, Continuum Theory of Plasticity offers a modern, comprehensive introduction to the entire subject of plasticity.

Fundamentals of Engineering Plasticity

William F. Hosford
Fundamentals of Engineering Plasticity Book PDF

Author : William F. Hosford
Publisher : Cambridge University Press
Page : 277 pages
File Size : 44,9 Mb
Release : 2013-07-22
Category : Science
ISBN : 9781107355651

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Fundamentals of Engineering Plasticity by William F. Hosford Pdf

William Hosford's book is ideal for those involved in designing sheet metal forming processes. Knowledge of plasticity is essential for the computer simulation of metal forming processes and understanding the advances in plasticity theory is key to formulating sound analyses. The author makes the subject simple by avoiding notations used by specialists in mechanics. R. Hill's authoritative book, Mathematical Theory of Plasticity (1950), presented a comprehensive treatment of continuum plasticity theory up to that time; much of the treatment in this book covers the same ground, but focuses on more practical topics. Hosford has included recent developments in continuum theory, including a newer treatment of anisotropy that has resulted from calculations of yielding based on crystallography, analysis of the role of defects, and forming limit diagrams. A much greater emphasis is placed on deformation mechanisms and the book also includes chapters on slip and dislocation theory and twinning.

Theory of Cortical Plasticity

Leon N. Cooper
Theory of Cortical Plasticity Book PDF

Author : Leon N. Cooper
Publisher : World Scientific
Page : 336 pages
File Size : 40,5 Mb
Release : 2004
Category : Science
ISBN : 9812387919

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Theory of Cortical Plasticity by Leon N. Cooper Pdf

This invaluable book presents a theory of cortical plasticity and shows how this theory leads to experiments that test both its assumptions and consequences. It elucidates, in a manner that is accessible to students as well as researchers, the role which the BCM theory has played in guiding research and suggesting experiments that have led to our present understanding of the mechanisms underlying cortical plasticity. Most of the connections between theory and experiment that are discussed require complex simulations. A unique feature of the book is the accompanying software package, Plasticity. This is provided complete with source code, and enables the reader to repeat any of the simulations quoted in the book as well as to vary either parameters or assumptions. Plasticity is thus a research and an educational tool. Readers can use it to obtain hands-on knowledge of the structure of BCM and various other learning algorithms. They can check and replicate our results as well as test algorithms andrefinements of their own.

Elastoplasticity Theory

Koichi Hashiguchi
Elastoplasticity Theory Book PDF

Author : Koichi Hashiguchi
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 55,8 Mb
Release : 2013-07-16
Category : Science
ISBN : 9783642358494

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Elastoplasticity Theory by Koichi Hashiguchi Pdf

This book was written to serve as the standard textbook of elastoplasticity for students, engineers and researchers in the field of applied mechanics. The present second edition is improved thoroughly from the first edition by selecting the standard theories from various formulations and models, which are required to study the essentials of elastoplasticity steadily and effectively and will remain universally in the history of elastoplasticity. It opens with an explanation of vector-tensor analysis and continuum mechanics as a foundation to study elastoplasticity theory, extending over various strain and stress tensors and their rates. Subsequently, constitutive equations of elastoplastic and viscoplastic deformations for monotonic, cyclic and non-proportional loading behavior in a general rate and their applications to metals and soils are described in detail, and constitutive equations of friction behavior between solids and its application to the prediction of stick-slip phenomena are delineated. In addition, the return-mapping algorithm, the consistent tangent operators and the objective time-integration algorithm of rate tensor are explained in order to enforce the FEM analyses. All the derivation processes and formulations of equations are described in detail without an abbreviation throughout the book. The distinguishable features and importance of this book is the comprehensive description of fundamental concepts and formulations including the objectivity of tensor and constitutive equations, the objective time-derivative of tensor functions, the associated flow rule, the loading criterion, the continuity and smoothness conditions and their substantial physical interpretations in addition to the wide classes of reversible/irreversible constitutive equations of solids and friction behavior between solids.

Introduction to Finite Strain Theory for Continuum Elasto-Plasticity

Koichi Hashiguchi,Yuki Yamakawa
Introduction to Finite Strain Theory for Continuum Elasto Plasticity Book PDF

Author : Koichi Hashiguchi,Yuki Yamakawa
Publisher : John Wiley & Sons
Page : 371 pages
File Size : 41,9 Mb
Release : 2012-10-09
Category : Science
ISBN : 9781118437728

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Introduction to Finite Strain Theory for Continuum Elasto-Plasticity by Koichi Hashiguchi,Yuki Yamakawa Pdf

Comprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals including the push-forward and pull-back operations and the Lie derivatives of tensors. As a foundation to finite strain theory, the authors begin by addressing the advanced mathematical and physical properties of continuum mechanics. They progress to explain a finite elastoplastic constitutive model, discuss numerical issues on stress computation, implement the numerical algorithms for stress computation into large-deformation finite element analysis and illustrate several numerical examples of boundary-value problems. Programs for the stress computation of finite elastoplastic models explained in this book are included in an appendix, and the code can be downloaded from an accompanying website.

Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity

Eduard Starovoitov,Faig Bakhman Ogli Naghiyev
Foundations of the Theory of Elasticity Plasticity and Viscoelasticity Book PDF

Author : Eduard Starovoitov,Faig Bakhman Ogli Naghiyev
Publisher : CRC Press
Page : 320 pages
File Size : 51,8 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.

THEORY OF ELASTICITY AND PLASTICITY

H. JANE HELENA
THEORY OF ELASTICITY AND PLASTICITY Book PDF

Author : H. JANE HELENA
Publisher : PHI Learning Pvt. Ltd.
Page : 264 pages
File Size : 42,8 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.

The Mechanical and Thermodynamical Theory of Plasticity

Mehrdad Negahban
The Mechanical and Thermodynamical Theory of Plasticity Book PDF

Author : Mehrdad Negahban
Publisher : CRC Press
Page : 784 pages
File Size : 55,7 Mb
Release : 2012-04-26
Category : Science
ISBN : 9781466563216

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The Mechanical and Thermodynamical Theory of Plasticity by Mehrdad Negahban Pdf

Born out of 15 years of courses and lectures on continuum mechanics, nonlinear mechanics, continuum thermodynamics, viscoelasticity, plasticity, crystal plasticity, and thermodynamic plasticity, The Mechanical and Thermodynamical Theory of Plasticity represents one of the most extensive and in-depth treatises on the mechanical and thermodynamical a