A Treatise on the Mathematical Theory of ElasticityCourier Corporation, 1 de gen. 1944 - 643 pàgines Combining a wealth of practical applications with a thorough, rigorous discussion of fundamentals, this work is recognized as an indispensable reference tool for mathematicians and physicists as well as mechanical, civil, and aeronautical engineers. The American Mathematical Monthly hailed it as "the standard treatise on elasticity," praising its significant content, originality of treatment, vigor of exposition, and valuable contributions to the theory. Starting with a historical introduction, the author discusses the analysis of strain and stress, the elasticity of solid bodies, the equilibrium of isotropic elastic solids, elasticity of crystals, vibration of spheres and cylinders, propagation of waves in elastic solid media, torsion, the theory of continuous beams, the theory of plates, and other topics. A wide range of practical material includes coverage of plates, beams, shells, bending, torsion, vibrations of rods, impact, and more. |
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A Treatise on the Mathematical Theory of Elasticity (Classic Reprint) Augustus Edward Hough Love Previsualització no disponible - 2018 |
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angles applied approximation Article assume axes axis beam becomes bending body boundary calculated central-line centre Chapter components constant contain coordinates corresponding couple cross-section curvature curve cylinder denote determined differential direction discussed displacement distance edge elastic elements energy equal equations equilibrium equivalent example expressed extension find first fixed follows forces formulae function give given harmonic initial integral Introduction known length limit linear load material Math means method middle motion normal observe obtained origin parallel Phil plane plate positive pressure principal problem quantities radius referred relations rotation satisfied satisfy shearing shell solid solution sphere spherical strain stress stress-components suppose surface taken tangent tension theory tractions transformed twist values vanish vibrations waves write written