Ch. I. Mathematical Preliminaries. 1. Function spaces, convex analysis, variational convergence -- Ch. II. Elastic Plates. 2. Three-dimensional analysis and effective models of composite plates. 3. Thin plates in bending and stretching. 4. Nonlinear behavior of plates. 5. Moderately thick transversely symmetric plates. 6. Sandwich plates with soft core. 7. Comments and bibliographical notes -- Ch. III. Elastic Plates with Cracks. 8. Unilateral cracks in thin plates. 9. Unilateral cracks in plates with transverse shear deformation. 10. Part-through the thickness cracks. 11. Stiffness loss of cracked laminates. 12. Comments and bibliographical notes -- Ch. IV. Elastic-Perfectly Plastic Plates. 13. Mathematical complements, homogenization of functionals with linear growth. 14. Homogenization of plates loaded by forces and moments. 15. Comments and bibliographical notes -- Ch. V. Elastic and Plastic Shells. 16. Linear and nonlinear models of elastic shells.