Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies
At the present time stability theory of deformable systems has been developed into a manifold field within solid mechanics with methods, techniques and approaches of its own. We can hardly name a branch of industry or civil engineering where the results of the stability theory have not found their a...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Foundations of Engineering Mechanics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Fundamentals of nonlinear solid mechanics
- 1 Essentials of tensor analysis
- 2 Description of state of strain
- 3 Description of state of stress
- 4 Elastic solids
- 5 Plastic solids
- 6 Solids with rheological properties
- 2. Fundamentals of linearised solid mechanics
- 7 States of stress and strain
- 8 Elastic solids
- 9 Non-elastic solids
- 3. General issues of three-dimensional linearised theory of deformable bodies stability (TLTDBS)
- 10 Stability criteria for deformable bodies
- 11 General statement of stability problem for deformable bodies
- 12 Sufficient conditions of applicability of the static method
- 13 Variational principles
- 14 General solutions for uniform precritical states
- 15 Approximate approach in three-dimensional theory of stability
- 4. Analysis of the simplest problems
- 16 All-round compression of isotropic simply connected body. Application of the integral stability criteria
- 17 Internal (structural) instability. Properties of the basic system of simultaneous equations
- 18 Near-the-surface instability. Problems for semi-restricted regions
- 19 Compression of a strip (plane strain problem)
- 20 Compression of high-elastic non-circular cylindrical body. Implementation of variational principles
- Supplement. Exact solutions of mixed plane problems of linearised solid mechanics
- References
- References supplement
- Biography