A Treatise on the Mathematical Theory of ElasticityDover Publications, 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. |
Continguts
HISTORICAL INTRODUCTION | 1 |
ANALYSIS OF STRAIN | 32 |
The strain quadric | 41 |
No s’hi han mostrat 268 seccions
Altres edicions - Mostra-ho tot
A Treatise on the Mathematical Theory of Elasticity Augustus Edward Hough Love Previsualització limitada - 1944 |
Frases i termes més freqüents
applied approximation Article axis beam bending body forces boundary boundary-conditions central-line coefficients components of strain constant coordinates cos² couple cross-section curvature curve cylinder deflexion denote determined direction displacement dx dy elastic equations of equilibrium expressed extension flexural formulæ given H₁ harmonic function Hooke's Law integral isotropic linear load Lord Rayleigh Math middle surface normal obtained P₁ parallel Phil plane plane strain plate Poisson's ratio pressure principal axes problem Proc quadratic function quantities R₁ rotation satisfies the equation shearing shearing stress sin² solid solid harmonics solution sphere spherical strain-components stress stress-components stress-couples stress-system surface tractions symmetry t₁ tangent tension theory torsion twist unstrained values vanish velocity vibrations Young's modulus Z₂ λ+μ дах дв дг ди др ду дф дх მყ