, Volume 16, Issue 4, pp 204–209 | Cite as

Buckling of an elastic plate subjected to unilateral constraints

  • Luigi Ascione


In this paper we show how it is possible to extend the well-known variational properties of the critical loads for elastic structures to the case of unilateral constraints. In particular we examine the buckling of an elastic plate unitalerally constrained between two elastic half-spaces and loaded by axial forces. For this problem we discuss the existence of the lowest positive and greatest negative critical load multiplier and provide a characterization of these multipliers by means of the minimal properties of a suitable functional.


Mechanical Engineer Civil Engineer Axial Force Critical Load Variational Property 
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In questo lavoro viene mostrato come sia possibile estendere le ben note proprietà variazionali dei carichi critici di una struttura elastica dal caso dei vincoli bilaterali a quello dei vincoli unilaterali. In particolare viene esaminato il problema di svergolamento di una piastra rettangolare elastica, sollecitata da forze assiali agenti nelle due direzioni e vincolata unilateralmente tra due semispazi elastici. Per tale problema si discute l'esistenza del più piccolo moltiplicatore positivo dei carichi e del più grande negativo per cui si ha instabilità. Inoltre viene fornita una caratterizzazione variazionale di tali moltiplicatori mediante le proprietà di minimo di un opportuno funzionale.


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Copyright information

© Pitagora Editrice Bologna 1981

Authors and Affiliations

  • Luigi Ascione
    • 1
  1. 1.Dipartimento di StruttureUniversità degli Studi della CalabriaCosenza

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