Includes bibliographical references.

Asymptotic methods in mechanics with applications to thin shells and plates (introduction) ; Chapter 1. Asymptotic expansions ; Chapter 2. Singular perturbation of linear differential equations ; Chapter 3. Degenerate boundary value problems ; Chapter 4. Asymptotic solutions of partial differential equations ; Chapter 5. Asymptotic solutions of nonlinear differential equations ; References ; Perturbation methods in eddy current testing ; Buckling of thin cylindrical shells and shells of negative Gaussian curvature ; Thermo-elastic deformations of mirrors ; A mathematical model for hydroelastic problems with a fluid memory. Part I ; A mathematical model for hydroelastic problems with a fluid memory. Part II ; Low-frequency vibrations of cylindrical shells. Part I: Shells with a slanted edge ; Low-frequency vibrations of cylindrical shells. Part II: Connected shells ; Buckling of convex shells under nonaxisymmetric loading ; Elasto-plastic deformations of ribbed plates ; Elastic wave propagation through elastic shells ; Dynmamic stability and forced vibrations of a horizontal rotor with a cracked shaft ; Edge effect under large axisymmetric deformations of shells of revolution ; Turning points and caustics in linear problems of thin shell free vibrations and buckling