Originally published in 1927, this is a classic account of the mathematical theory of elasticity by English mathematician A. E. H. Love. The text provides a detailed explanation of the topic in its various aspects, revealing important relationships with general physics and applications to engineering.
Originally published in 1927, this is a classic account of the mathematical theory of elasticity by English mathematician A. E. H. Love. The text provides a detailed explanation of the topic in its various aspects, revealing important relationships with general physics and applications to engineering.
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.
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.
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