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A Treatise on the Mathematical Theory of Elasticity

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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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