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## Details

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 |
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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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