A Treatise on the Mathematical Theory of Elasticity

Originally published in 1927, this is a classic account of the mathematical theory of elasticity by English mathematician A. E. H. Love.

A. E. H. Love (Author)

9781107618091, Cambridge University Press

Paperback / softback, published 3 January 2013

662 pages
23.4 x 15.6 x 3.4 cm, 0.91 kg

A. E. H. Love (1863–1940) was an English mathematician and geophysicist renowned for his work on elasticity and wave propagation. Originally published in 1927, as the fourth edition of a title first published in two volumes in 1892 and 1893, this is Love's classic account of the mathematical theory of elasticity. The text provides a detailed explanation of the topic in its various aspects, revealing important relationships with general physics and applications to engineering. Also included are a historical introduction to the theory, notes section, index of authors cited and index of matters treated. This book will be of value to anyone with an interest in elasticity, physics and mathematics.

Historical introduction
1. Analysis of strain
Appendix of chapter 1. General theory of strain
2. Analysis of stress
3. The elasticity of solid bodies
4. The relation between the mathematical theory of elasticity and technical mechanics
5. The equilibrium of isotropic elastic solids
6. The equilibrium of aeolotropic elastic solid bodies
7. General theorems
8. The transmission of force
9. Two-dimensional elastic systems
Appendix to chapters 8 and 9. Volterra's theory of dislocations
10. Theory of the integration of the equations of equilibrium of an isotropic elastic solid body
11. The equilibrium of an elastic sphere and related problems
12. Vibrations of spheres and cylinders
13. The propagation of waves in elastic solid media
14. Torsion
15. The bending of a beam by terminal transverse load
16. The bending of a beam loaded uniformly along its length
17. The theory of continuous beams
18. General theory of the bending and twisting of thin rods
19. Problems concerning the equilibrium of thin rods
20. Vibrations of rods. Problems of dynamical resistance
21. Small deformation of naturally curved rods
22. The stretching and bending of plates
23. Inextensional deformation of curved plates or shells
24. General theory of thin plates and shells
24A. Equilibrium of thin plates and shells
Notes
Index.

Subject Areas: History of mathematics [PBX]