the Nest of Students

C. R. Calladine ...
328 pages - Publisher: Woodhead Publishing; 2nd edition (September 15, 2000)
Language: English - ISBN-10: 1898563705 - ISBN-13: 978-1898563709

This book focuses on the plastic property of materials, and the way in which structures made of such material behave under load. It is intended for civil, mechanical, electro-mechanical, marine, and aeronautical engineers for under-graduate or post-graduate courses or research, and professionals in industry. Professor Calladine, from long experience in teaching, research and industry, here delivers a readable and authoritative account of theory and applications. He presents the classical "perfect plasticity material" as a model of irreversible mechanical behaviour, using this perfect plasticity property to analyse a range of continuum structural problems and metal-forming processes relevant to engineering practice.

Weimin Han, Daya Reddy ... 
424 pages - Publisher: Springer; 2nd edition (November 16, 2012)
Language: English - ISBN-10: 1461459397 - ISBN-13: 978-1461459392

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).

William F. Hosford ... 276 pages - Publisher: Cambridge University Press; 1st edition (July, 2013) ... Language: English - ISBN-10: 1107037557 - ISBN-13: 978-1107037557 ...

This 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. In this book, William Hosford makes the subjects 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; although much of the treatment in this book covers the same ground, it focuses on more practical topics. Hosford has also 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. This text also puts a much greater emphasis on deformation mechanisms, and includes chapters on slip and dislocation theory and twinning.

Weimin Han, B. Daya Reddy ... 
384 pages - Publisher: Springer; 1st edition (April 23, 1999)
Language: English - ISBN-10: 0387987045 - ISBN-13: 978-038798704

Focussing on theoretical aspects of the small-strain theory of hardening elastoplasticity, this monograph provides a comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages gained by placing the theory in a convex analytic context. Divided into three parts, the first part of the text provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behaviour is emphasised, while the second part is taken up with mathematical analysis of the elastoplasticity problem. The third part is devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity.

EA de Souza Neto, D. Peric, D. R. J. Owen ... 
814 pages - Publisher: Wiley; 1st edition (December 22, 2008)
Language: English - ISBN-10: 0470694521 - ISBN-13: 978-0470694527

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.

Jagabandhu Chakrabarty ... 682 pages - Publisher: Springer; 1st edition (February 23, 2000)
Language: English - ISBN-10: 0387988122 - ISBN-13: 978-0387988122

Intended for graduate students in mechanical, civil, or structural engineering, or in applied mechanics, this text covers advanced topics in plasticity that have thus far been accessible only in review articles widely scattered through the literature. Practicing engineers will thus also find it a useful reference. The book begins with the fundamentals of the mathematical theory of plasticity, presented in sufficient detail to make the text self- sufficient. The discussion then turns to the theory of plastic stress and its applications to structural analysis and sheet metal forming. This is followed by treatments of axially symmetrical systems and some three-dimensional problems; of the plastic behavior of plates and shells, discussed mainly from the point of view of limit analysis; and of the plasticity of metals with fully developed orthotropic anisotropy and the plastic behavior of anisotropic sheets. The generalized tangent-modulus theory of buckling in the plastic range for columns, plates and shells is treated from the point of view of the bifurcation phenomenon. The concluding chapter deals with a wide range of topics in dynamic plasticity including wave propagation, armor penetration, and structural impact in the plastic range. In view of the rapidly growing interest in computational methods, an appendix presents the fundamentals of a finite-element analysis of metal- forming problems.

Ronaldo I. Borja ... 255 pages - Publisher: Springer; 1st edition (June 15, 2013)
Language: English - ISBN-10: 364238546X - ISBN-13: 978-3642385469

There have been many excellent books written on the subject of plastic deformation in solids, but rarely can one find a textbook on this subject. “Plasticity Modeling & Computation” is a textbook written specifically for students who want to learn the theoretical, mathematical, and computational aspects of inelastic deformation in solids. It adopts a simple narrative style that is not mathematically overbearing, and has been written to emulate a professor giving a lecture on this subject inside a classroom. Each section is written to provide a balance between the relevant equations and the explanations behind them. Where relevant, sections end with one or more exercises designed to reinforce the understanding of the “lecture.” Color figures enhance the presentation and make the book very pleasant to read. For professors planning to use this textbook for their classes, the contents are sufficient for Parts A and B that can be taught in sequence over a period of two semesters or quarters.

Zdenek Sobotka ... 656 pages - Publisher: Elsevier Science Ltd; (July 1, 1989)
Language: English - ISBN-10: 0444989072 - ISBN-13: 978-0444989079

An extensive review of the theory of plasticity, limit design and limit analysis of plates is contained in this volume. Detailed descriptions are given on the plastic behaviour of homogeneous, reinforced and sandwich plates, and on the rise of various yield-line patterns. The volume differs from other books on the plastic analysis of plates by its comprehensive treatment of: the theory of yield fans connected with yield-line planning; the plastic behaviour of plates under combined loadings characterized by the load factors; statical solutions; and continuous, rectangular and skew plates. Before discussing the upper-bound solutions for various types of ultimate loads acting on isotropic, orthotropic and anisotropic plates, the kinematic conditions of the plastic behaviour of plates and the principles and methods of the yield-line theory are examined in detail. Generalized yield conditions of the second degree for orthotropic and anisotropic plates are introduced. Special attention is paid to the rise of yield fans. The concept of yield line planning is also discussed, which may be of practical interest since it indicates the possibilities for preventing the rise of yield fans.

Wai-Fah Chen ... 652 pages- Publisher: Elsevier (January, 1975) ...
Language: English- ISBN-10: 044456909X - ISBN-13: 978-0444569097 ...

Devoted to the theory and applications of limit analysis as applied to soil mechanics, this text also contains information on soil plasticity and rock-like material such as concrete. The first part of the book describes the techniques of limit analysis in detail and are illustrated by many examples. The second part deals with the applications of limit analysis to 'classical soil mechanics problems' and the third part presents advances on bearing capacity problems of concrete blocks or rock. The final part discusses the modern development of the theory of soil plasticity. Key Features; Presents two elastic-plastic soil models and one elastic-plastic-fracture model for concrete + Includes numerical results obtained by the finite element method along with limit analysis solutions + Presents the principles of limit analysis and the general techniques that can be used in deriving statically admissible stress fields and kinematically admissible velocity fields.

M. P. Nielsen, L. C. Hoan ... 
816 pages - Publisher: CRC Press; 3rd edition (December 13, 2010)
Language: English - ISBN-10: 143980396X  - ISBN-13: 978-1439803967

First published in 1984, Limit Analysis and Concrete Plasticity explains for advanced design engineers the principles of plasticity theory and its application to the design of reinforced and prestressed concrete structures, providing a thorough understanding of the subject, rather than simply applying current design formulas.

Updated and revised throughout, Limit Analysis and Concrete Plasticity, Third Edition adds: Reinforcement design formulas for three-dimensional stress fields that enable design of solid structures (also suitable for implementation in computer-based lower bound optimizations) + Improved explanations of the crack sliding theory and new solutions for beams with arbitrary curved shear cracks, continuous beams, lightly shear reinforced beams and beams with large axial compression + More accurate treatment of and solutions for beams with circular cross-section + Applications of crack sliding theory to punching shear problems + New solutions that illustrate the implication of initial cracking on load-carrying capacity of disks + Yield condition for the limiting case of isotropically cracked disk.

The authors also devote an entirely new chapter to a recently developed theory of rigid-plastic dynamics for seismic design of concrete structures. In comparison with time-history analyses, the new theory is simpler to use and leads to large material savings. With this chapter, plasticity design methods for both statical and dynamical loads are now covered by the book.