A Treatise on the Mathematical Theory of Elasticity, المجلد 1

الغلاف الأمامي
University Press, 1892 - 681 من الصفحات
An indispensable reference work for engineers, mathematicians, and physicists, this book is the most complete and authoritative treatment of classical elasticity in a single volume. Beginning with elementary notions of extension, simple shear and homogeneous strain, the analysis rapidly undertakes a development of types of strain, displacements corresponding to a given strain, cubical dilatation, composition of strains and a general theory of strains. A detailed analysis of stress including the stress quadric and uniformly varying stress leads into an exposition of the elasticity of solid bodies. Based upon the work-energy concept, experimental results are examined and the significance of elastic constants in general theory considered. Hooke's Law, elastic constants, methods of determining stress, thermo-elastic equations, and other topics are carefully discussed. --Back cover.

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الصفحة 339 - Mathematical and Physical Papers. By Sir W. THOMSON, LL.D., DCL, FRS, Professor of Natural Philosophy, in the University of Glasgow. Collected from different Scientific Periodicals from May, 1841, to the present time.
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الصفحة 5 - This introduction of a definite physical concept, associated with the coefficient of elasticity, which descends as it were from a clear sky on the reader of mathematical memoirs, marks an epoch in the history of the science.
الصفحة 120 - P, Q, R, S, T, U are linear functions of the strains e, f, g, a, b, c, and therefore W is a quadratic function of the strains.

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