Proceedings of ‘the Fourth Conference on Carbon. (Edited by S. MROZOWSKI) Pergamon 1960. 778 pp., L7 10s.
A. E. GREEN and J. E. ADKINS: Large Elastic Deformations and Non-Linear Continuum Mechanics. Oxford University
THE Proceedings on the Fourth Conference on Carbon held at the University of Buffalo, January 15 19, 1959, is a massive collection of information on the status of carbon and graphite science and technology at the time of the conference. It is a beautifully prepared volume on which the editor can be complimented. The program of the ,conference was divided into five parts: Part I, Surface Properties, Adsorption and Reactivity; Part 2, Electronic Properties; Part 3, Carbonization, Graphitization and Structure; Part 4, Mechanical and Thermal Properties; Part 5, Carbon Technology, Friction and Wear. Under the heading of Surface Properties, Adsorption and Reactivity were included papers on surface chemistry, physical adsorption, and various aspects of catalysis involving graphite and graphite compounds. Part 2 on the Electronic Properties comprised a comprehensive presentation of the energy band structure, transport phenomena and resonance behavior of graphite. Also included was a discussion of the effect of doping on the properties of carbons and graphites. Part 3 on Carbonization included several papers, which presented X-ray electron microscopy and other special techniques for investigating the structure of metamorphous carbons and graphites. Section 4 on Mechanical and Thermal Properties included discussions of both graphite and carbons. The mechanical strength of pyrolytic graphites was discussed; the defects produced by irradiation were also mentioned. In the last session on Carbon Technology, several aspects of carbon and graphite processes were reviewed. In addition, the properties of graphites and carbons relevant to certain applications were presented in papers on wear and friction. Although this conference was held in mid-1959 and is just being published, the information is still quite timely. The Proceedings can be recommended to anyone who wishes to obtain in one volume a rather complete survey of the field.
1961. xiii + 347 pp., 58.80.
THE mathematical theory of large elastic deformations has progressed at a rapid pace during the last decade. Indeed, the progress has been such that the theory may be said to have begun with the publications of R. S. Rivlin in the late nineteen-forties, despite the much earlier work on the foundations of the theory. An account of most of the work prior to 1953 can be found in Theoretical Elasticity by A. E. Green and W. Zerna, published in 1954, and the present volume supplements this previous book and brings the account up to date. As in the earlier volume, tensor notation is used systematically throughout. In Chapter I a summary of the notation and of the basic formulae for large elastic deformations is given, the reader being referred to Theoretical Elasticity for a detailed exposition. Chapter I then continues with a discussion of the form of the strain-energy function for the various crystal classes and the derivation of the stress-strain relations for particular kinds of anisotropic materials. The effect of imposed geometrical constraints on the stressstrain relations is also considered and this theory is applied in Chapter VII to the important technological problem of elastic materials reinforced by systems of inextensible cords. Chapter II presents exact solutions to problems for both isotropic and anisotropic materials and for the most part with a completely general form of the strain-energy function. The problems for which exact solutions exist are necessarily simple and usually involve a high degree of symmetry. Nevertheless the problems are important as their solutions can be used in conjunction with experimental results, as described in Chapter X, to evaluate the mechanical properties of real materials. The simplifications which result if the body is assumed to undergo a deformation in which the displacement component in a fixed direction is either zero (finite plane strain) or proportional to distance along that direction are considered in Chapter III. For this two-dimensional situation J. A. KRUMHANSL the theory can be formulated in complex variable 134