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A treatise on the mathematical theory of elasticity

Author: A E H Love
Publisher: Cambridge [England] : University Press, 1892-93.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Additional Physical Format: Online version:
Love, A.E.H. (Augustus Edward Hough), 1863-1940.
Treatise on the mathematical theory of elasticity.
Cambridge [Eng.] University Press, 1892-93
(OCoLC)654532278
Document Type: Book
All Authors / Contributors: A E H Love
OCLC Number: 4262927
Notes: "Historical introduction": pages 1-34.
Includes index.
Description: 2 volumes : diagram ; 23 cm
Contents: Analysis of strain --
Analysis of stress --
The elasticity of solid bodies --
The relation between the mathematical theory of elasticity and technical mechanics --
The equilibrium of isotropic elastic solids --
Equilibrium of æolotropic elastic solid bodies --
General theorems --
The transmission of force --
Two-dimensional elastic systems --
Theory of the integration of the equations of equilibrium of an isotropic elastic solid body --
The equilibrium of an elastic sphere and related problems --
Vibrations of spheres and cylinders --
The propagation of waves in elastic solid media --
Torsion --
The bending of a beam by terminal transverse load --
The bending of a beam loaded uniformly along its length --
The theory of continuous beams --
General theory of the bending and twisting of thin rods --
Problems concerning the equilibrium of thin rods --
Vibrations of rods. Problems of dynamical resistance --
Small deformation of naturally curved rods --
The stretching and bending of plates. Theory of moderately thick plates. Approximate theory of thin plates --
Inextensional deformation of curved plates or shells --
General theory of thin plates and shells --
Equilibrium of thin plates and shells. Equilibrium of thin shells. Cylindrical shell. Spherical shell. Conical shell.
Responsibility: by A.E.H. Love.

Abstract:

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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