A Treatise on the Mathematical Theory of Elasticity

by A. E. H. Love

Overview

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.

Product Details

ISBN-13:	9781107618091
Publisher:	Cambridge University Press
Publication date:	01/03/2013
Edition description:	4th Revised ed.
Pages:	662
Product dimensions:	6.14(w) x 9.21(h) x 1.34(d)

About the Author

In addition to his work on elasticity, Augustus Edward Hough Love (1863–1940) studied wave propagation and was awarded the prestigious Adams Prize in 1911 for his development of a mathematical model of surface waves known as Love waves.

Table of Contents

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.