Phenomenological and Mathematical Modelling of Structural Instabilities

1. Front Matter

   Pages i-vii

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2. Mathematical Modelling of Instability Phenomena

   • M. Pignataro, G. C. Ruta

   Pages 1-84

3. Phenomenological Modelling of Instability

   • Victor Gioncu

   Pages 85-134

4. Modelling Buckling Interaction

   • Eduardo de Miranda Batista

   Pages 135-194

5. Computational asymptotic post-buckling analysis of slender elastic structures

   • Raffaele Casciaro

   Pages 195-276

6. Mechanical Models for the Subclasses of Catastrophes

   • Zsolt Gaspar

   Pages 277-336

The study of structural instability plays a role of primary importance in the field of applied mechanics. Despite the remarkable progresses made in the recent past years, the structural instability remains one of the most challenging topics in applied - chanics. Many problems have bee:: solved in the last decades but still many others remain to be solved satisfactorily. The increasing number of papers published in jo- nals and conferences organized by ECCS, SSRC, IUTAM, and EUROMECH strongly indicates the interest of scientists and engineers in the subject. A careful examination of these publications shows that they tend to fall into one of the two categories. The first is that of practical design direction in which methods for analyzing specific stability problems related to some specific structural typologies are developed. The research works are restricted to determining the critical load, considering that it is sufficient to know the limits of stability range. These studies are invaluable since their aim is to provide solutions to practical problems, to supply the designer with data useful for design and prepare norms, specifications and codes. The second direction is that of theoretical studies, aiming at a mathematical modeling of the instability problems, for a better understanding of the phenomena. In these studies, special emphasis is placed on the behavior of structures after the loss of stability in the post-critical range. This approach is less familiar to designers as its results have not yet become part of current structural design practice.

• Mathematica
• applied mechanics
• calculus
• computation
• engineering design
• experimental mechanics
• instability
• mechanics
• modeling
• stability
• structure
• theoretical mechanics

• Università Di Roma “La Sapienza”, Italy

  Marcello Pignataro

• Technical University Of TIMIşoara, Romania

  Victor Gioncu

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