Problems Of Plasticity
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Plasticity
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Author : Weimin Han
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-19
Plasticity written by Weimin Han and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-19 with Mathematics categories.
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)
Mathematical Problems In Plasticity
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Author : Roger Temam
language : en
Publisher: John Wiley & Sons
Release Date : 1985
Mathematical Problems In Plasticity written by Roger Temam and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Elasticity categories.
The object of this book is to study, from a mathematical standpoint, the problem of the equilibrium of a perfectly plastic body under certain conditions. This involves the solution of two problems in the calculus of variations: the strain problem and the stress problem. These problems have only recently been solved, and this volume aims to give an up-to-date account of this work. The tools and methods used should be useful in a number of fields, in particular in solving problems relating to the 'evolution' of certain plastic phenomena, the mechanics of fracture, and certain optimal control problems.
Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids
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Author : Martin Fuchs
language : en
Publisher: Springer
Release Date : 2007-05-06
Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids written by Martin Fuchs and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.
Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
Problems Of Plasticity
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Author : A. Sawczuk
language : en
Publisher:
Release Date : 1974
Problems Of Plasticity written by A. Sawczuk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Plasticity categories.
Problems Of Technological Plasticity
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Author : B. Druyanov
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Problems Of Technological Plasticity written by B. Druyanov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.
In this book the classical rigid-plastic model of deformed workpiece and the characteristic (slipline) method of analysis is assumed. The rigid-plastic solid assumption is deemed reasonable for the problems of technological plasticity with large scale plastic flow, where small elastic stains are negligible. Along with classical results of the theory of plasticity the book includes many original analytical and numerical solutions of the problems of technological plasticity obtained by the authors in Russia and unknown for most western readers. The results of the analyses are given by analytical formulae and many graphs and tables, so the book will be useful for the practical and research engineers. It may also be used as a textbook by graduate students and engineers.
Plasticity
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Author : Weimin Han
language : en
Publisher: Springer
Release Date : 2012-11-16
Plasticity written by Weimin Han and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-16 with Mathematics categories.
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)
Problems Of Plasticity
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Author : A. Sawczuk
language : en
Publisher: Springer
Release Date : 2011-11-10
Problems Of Plasticity written by A. Sawczuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-10 with Science categories.
The theory of plasticity has a broad range of applications in industry and engineering. Its methods permit to devise metal processing, allow to assess safety of structures against collapse, make possible to estimate flow of bulk solids. The technological progress calls both for deeper understanding of sources of plastic deformation and for more rigorous description of mecha nisms of plastic motion. It was felt at the Institute of Fundamental Technological Research in Warsaw several years ago that an international meeting bringing together experts in various domains of plasticity and studying plastic behavior from different positions could be of use for further development of the discipline itself and for its service to society. The appropriate occasion for such a meeting sponsored by the Polish Academy of Sciences was provided by the 70th anniversary of Professor Wadaw Olszak. The idea of a fundamentals oriented symposium was favorably received by the scientific community over the world. Eminent scientists generously advised me as to the scope of the meeting and helped in shaping the program. It was eventually decided to concentrate the debates on a) physical foun dations of plasticity , b) thermodynamics of plastic and visco-plastic deform ation, c) experiments regarding plastic behavior, d) mathematical methods in plasticity, e) computer techniques suitable for solving important techno logical problems. The selection of papers was made accordingly. The symposium contributed papers were published in the volume entitled 'Foundations of plasticIty' and in the 'Archives of Mechanics' No.3, 1972.
Problems Of Plasticity
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Author : Antoni Sawczuk
language : en
Publisher:
Release Date : 1974
Problems Of Plasticity written by Antoni Sawczuk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with International Symposium on Foundations of Plasticity categories.
Problems In Plasticity And Their Finite Element Approximation
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Author : Hermann George Matthies
language : en
Publisher:
Release Date : 1978
Problems In Plasticity And Their Finite Element Approximation written by Hermann George Matthies and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Plasticity categories.
Plasticity And Creep Of Metals
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Author : Andrew Rusinko
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-24
Plasticity And Creep Of Metals written by Andrew Rusinko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-24 with Science categories.
This book serves both as a textbook and a scientific work. As a textbook, the work gives a clear, thorough and systematic presentation of the fundamental postulates, theorems and principles and their applications of the classical mathematical theories of plasticity and creep. In addition to the mathematical theories, the physical theory of plasticity, the book presents the Budiansky concept of slip and its modification by M. Leonov. Special attention is given to the analysis of the advantages and shortcomings of the classical theories. In its main part, the book presents the synthetic theory of irreversible deformations, which is based on the mathematical Sanders flow plasticity theory and the physical theory, the Budiansky concept of slip. The main peculiarity of the synthetic theory is that the formulae for both plastic and creep deformation, as well their interrelations, can be derived from the single constitutive equation. Furthermore, the synthetic theory, as physical one, can take into account the real processes that take place in solids at irreversible deformation. This widens considerably the potential of the synthetic theory. In the framework of the synthetic theory such problems as creep delay, the Hazen-Kelly effect, the deformation at the break of the load trajectory, the influence of the rate of loading on the stress-strain diagram, creep at the changes of load, creep at unloading and reversed creep, have been analytically described. In the last chapter, the book shows the solution of some contemporary problems of plasticity and creep: Creep deformation at cyclic abrupt changes of temperature, The influence of irradiation on the plastic and creep deformation, Peculiarities of deformation at the phase transformation of some metals.