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On the statical unilateral contact problem with friction of rectangular plates resting on an elastic half-space

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Sommario

In questo lavoro si analizza il problema di equilibrio statico di una piastra rettangolare vincolata unilateralmente su un semispazio elastico. Viene fatta l'ipotesi di contatto con attrito all'interfaccia fra piastra e fondazione. La legge di attrito che si assume rappresenta una opportuna regolarizzazione della classica legge di Coulomb, la quale è particolarmente utile per gli sviluppi sia teorici che numerici. Il problema viene formulato e discusso da un punto di vista teorico; vengono inoltre forniti alcuni risultati numerici che mostrano l'influenza sulla soluzione dell'ipotesi di contatto con attrito.

Summary

In this paper the statical equilibrium problem of a rectangular plate unilaterally constrained against an elastic half-space is analyzed. The frictional contact hypothesis at the interface between plate and foundation is made. The assumed friction law represents a suitable regularization of Coulomb's classical law, which is particularly helpful in view of the theoretical and numerical developments.

The problem is formulated and discussed from a theoretical point of view. Some numerical results are also given showing the influence on the solution of the frictional contact hypothesis.

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Ascione, L., Bruno, D. On the statical unilateral contact problem with friction of rectangular plates resting on an elastic half-space. Meccanica 24, 223–234 (1989). https://doi.org/10.1007/BF01556454

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  • DOI: https://doi.org/10.1007/BF01556454

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