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Asymptotic Methods in Mechanics
About this Title
Rémi Vaillancourt and A L Smirnov, Editors
Publication: CRM Proceedings and Lecture Notes
Publication Year:
1993; Volume 3
ISBNs: 978-0-8218-6993-2 (print); 978-1-4704-3917-0 (online)
DOI: https://doi.org/10.1090/crmp/003
MathSciNet review: MR1263028
MSC: Primary 73-06; Secondary 73H05, 73K15
Table of Contents
Front/Back Matter
Part 1. A Survey
- 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
Part 2. Thirteen Papers
- 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