Convex Problems in Structural Mechanics

  • G. Romano
  • E. Sacco
Part of the International Centre for Mechanical Sciences book series (CISM, volume 304)


The object of the paper is a presentation of the basic theory of those problems in structural mechanics in which the relations between the internal (stress-strain) and the external (displacement-reaction) fields are governed by general convex (non differentiable) potentials. The analysis is developed in the formal framework of Convex Analysis and is based on the Fenchel duality theory. Admissibility conditions on the data and their variational formulations are discussed. Necessary and sufficient conditions defining limit loads and distorsions are given.

Existence under admissible (but not limit) data is proved, variational and extremum principles are developed.


Variational Inequality Constraint Condition Elastic Strain Energy Limit Load Admissibility Condition 
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Copyright information

© Springer-Verlag Wien 1987

Authors and Affiliations

  • G. Romano
    • 1
  • E. Sacco
    • 2
  1. 1.Istituto di Scienza delle CostruzioniUniversity of NaplesItaly
  2. 2.Dipartimento di Ingegneria Civile2nd University of RomeItaly

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