Sommario
In connessione con un precedente lavoro, si dimostrano nella presente nota alcuni teoremi di dipendenza continua ed unicità per soluzioni classiche del problema statico non lineare relativo ad un corpo elastico occupante un dominio illimitato dello spazio fisico. Vengono adoperati il metodo della funzione peso e l'estensione al caso non lineare di un metodo precedentemente introdotto da altri autori per il caso lineare.
Summary
In connection with a foregoing paper, in the present note we establish some continuous dependence and uniqueness theorems for classical solutions to the equilibrium problem of finite elasticity. The elastic body is supposed to fill an unbounded domain of the physical space. We employ the weight function method and a suitable extension to the non-linear case of a method previously introduced by other authors for the linear case.
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Work performed under the auspices of G.N.F.M. of the Italian Research Council (C.N.R.).
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Scarpetta, E. Some remarks on continuous dependence and uniqueness in finite elastostatics for unbounded domains. Meccanica 20, 6–11 (1985). https://doi.org/10.1007/BF02337055
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DOI: https://doi.org/10.1007/BF02337055