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Calladine C.R. Plasticity for Engineers: Theory and Applications

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Calladine C.R. Plasticity for Engineers: Theory and Applications
Woodhead Publishing, 2010. – 325 pp.
My main concern in writing this book has been to communicate to students of engineering the important and useful ideas of the Theory of Plasticity. Certain features of the theory—which has by now reached its maturity—are particularly appropriate to the crucial activity of engineering design, and I have tried wherever possible to bring out the "lessons" afforded by the theory as well as to present the "facts".
The book is aimed primarily at engineering students who are already familiar with elementary mechanics, "strength of materials" and "theory of structures"—including perhaps a treatment of plastic collapse of beams—and who are mainly interested in becoming design engineers. An appreciation of stress as being rather more than "tension -f- area" is absolutely essential to any respectable treatment of the theory of plasticity, and I assume that the reader will be thoroughly familiar with the theory and application of the Mohr circle of stress. For the sake of ease of reference, and to explain an unusual sign convention, a brief description of the theory is given as Appendix I. The other Appendices describe important ideas referred to in the text, with which the student may or may not be familiar, and also a note on units, etc. They are intended to be self-contained.
Experience shows that the solving of numerous problems is an important aspect of success in the study of a technical subject. At many points in the text, therefore, I have left proof or verification of simple points to the reader, and I hope that students will work through the corresponding problems whenever they reach them in the text.
The answers to some of the problems are best presented graphically, and I have occasionally suggested that the best place to draw the curves is on existing figures in the text. This has the merit of making appropriate comparisons particularly easy.
In some instances back-reference is made in the text to the solution of problems in a previous chapter. The student may thereforefind it helpful to keep his problem-work in some sort of order.
In addition to the "text problems" I have provided others, someof which are "open-ended". They range widely in scope, length and difficulty, and the ones which are most demanding are marked with the symbol |.
For the sake of completeness I have included material which I do not expect the average student to take too seriously, particularly at first reading. No great harm will be done, I think, by skipping lightly through the proofs of the theorems in Chapter IV, provided the statements and examples of their application are given due attention, or by ignoring altogether the rather specialist topic of slip-line fields in Chapter VIII, or by ignoring the parts of Chapter X concerning axisymmetric flow.
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