Sommario
Si analizza il problema di contatto unilaterale senza attrito tra una piastra e una fondazione elastica. Per la fondazione si esaminano i modelli di semispazio elastico e di suolo alla Winkler.
Vengono presentate le formulazioni variazionali più convenienti ai fini dell'approssimazione delle soluzioni col metodo degli elementi finiti e si illustrano alcuni risultati di un'indagine numerica per il caso di piastra circolare con carico assialsimmetrico.
Summary
The unilateral frictionless contact between a plate and an elastic subgrade is examined. The foundation is modeled as an elastic half-space or as a Winkler subgrade. The variational formulations more convenient to get approximate solutions are presented. Furthermore the results of a numerical investigation relative to an axisymmetric circular plate are given.
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References
Signorini A.,Sopra alcune questioni di elasto-statica. Atti Soc. Ital per il Progresso delle Scienze, (1933).
Fichera G.,Boundary value problems of Elasticity with unilateral constraints, Encl. of Physics, vol. VI a/2, Springer-Verlag (1972).
Duvaut G., Lions J.L.,Les inéquations en mécanique et en physique, Dunod, Paris (1972).
Stampacchia G.,Variational inequalities, Pubbl. IAX, s. III, 25, Roma, (1969).
Weitsmann Y.,On the unbounded contact between plates and an elastic half-space, Jour. Appl. Mech., 36, pp. 198–202, (1969).
Gladwell G.M.L.,Unbounded contact between a circular plate and an elastic foundation, In: A.D. de Peter and J.J. Kalker (editors),The Mechanics of the contact between deformable bodies, Proc. IUTAM Sym. Enschede, Delfi Univ. Press, The Netherlands, pp. 99–109, (1975).
Gladwell G.M.L, Iyer K.R.P.,Unbounded contact between a circular plate and an elastic half-space, J. Elasticity 4, pp. 115–130, (1974).
Pu S.L., Hussian M.A.,Notes on the unbounded contact between plates and an elastic half-space, Jour. Appl. Mech., 37, pp. 859–861, (1970).
Svec O.J.,The unbounded contact problem of a plate on the elastic half-space, Comput. Methods, Appl. Mech. Eng., 3, pp. 105–113 (1974).
Svec O.J., Mc Niece G.M.,Finite element analysis of finite sized plates bounded to an elastic half-space, Comput. Methods Appl. Mech. Eng. 1, pp. 265–277, (1972).
Cafarella F.,La piastra sottile su suolo elastico e comportamento monolaterale, I Congresso AIMETA, vol. II, pp. 269–296, (1971).
Toscano R., Maceri A.,On the problem of the elastic plate on one-side foundation, Meccanica, vol. 15, no. 2, pp. 95–106, (1980).
Ascione L.,Grimaldi A.,A variational formulation for the unilateral contact between plates and an elastic half-space, Rep. Dept. of Structures, Univ. of Calabria, to appear.
Brezzi F., Hager W.W., Raviart P.A.,Error estimates for the finite element solution of variational inequalities, Numer. Math. 28, pp. 431–443, (1977).
Ascione L., Grimaldi A., Maceri F.,Modelling and analysis of beams on tensional foundations, Int. Journal of Modelling and Simulation, Vol. 3, No. 2, pp. 105–109, (1983).
Oden J.T.,Mixed finite element approximations via interior and exterior penalties for contact problem in elasticity, Int. Sym. on Hibrid and Mixed Finite Element Methods, Georgia Institute of Tecnology, Atlanta, Georgia, April, 8–10, (1981).
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Ascione, L., Grimaldi, A. Unilateral contact between a plate and an elastic foundation. Meccanica 19, 223–233 (1984). https://doi.org/10.1007/BF01743736
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DOI: https://doi.org/10.1007/BF01743736