Basic Concepts in the Stability Theory of Thin-walled Structures
Abstract
Numerous specialized books and papers have been written about the subject of stability in mechanics. Most of these concentrate on methods for obtaining critical values of certain parameters, and typically contain algorithms and graphs generated for describing important but very specific problems. In the present paper we take a step back and discuss the truly central notions regarding mechanical stability. Our intention is to treat the required concepts on a fairly elementary level, while simultaneously offering a bit of useful historical perspective. We also attempt to explain some common discrepancies between theoretical and practical results.
- Publication:
-
Application of Mathematics in Technical and Natural Sciences
- Pub Date:
- November 2010
- DOI:
- 10.1063/1.3526619
- Bibcode:
- 2010AIPC.1301..244G
- Keywords:
-
- buckling;
- phase transitions;
- engineering;
- turbulent flow;
- 46.32.+x;
- 64.60.A-;
- 89.20.Kk;
- 47.27.E-;
- Static buckling and instability;
- Specific approaches applied to studies of phase transitions;
- Engineering;
- Turbulence simulation and modeling